if two tiny identical spheres attract each other with a force of 2.0 nn when they are 29 cm apart, what is the mass of each sphere? express your answer with the appropriate units.

Answers

Answer 1

The mass of each sphere with the appropriate units are the  0.6 kg by the two tiny identical spheres attract each other with a force of 2.0 nn when they are 29 cm apart.

Let's consider the following scenario: Two tiny identical spheres attract each other with a force of 2.0 nn when they are 29 cm apart. The mass of each sphere is what we need to calculate. The formula for calculating the mass of each sphere. F = Gm1m2 / r²Where:F = Force. G = Gravitational constantm1 and m2 = the masses of the object sr = the distance between the objects.

Substitute the given values: Force (F) = 2.0 nn. Distance (r) = 29 cm = 0.29 m. Gravitational constant (G) = 6.67 × 10-11 N.m²/kg²Find the mass of each sphere.m1 = m2 = m. Multiply the entire equation by ][tex]r² / G:m² = F × r² / G = (2.0 nn) × (0.29 m)² / 6.67 × 10-11 N.m²/kg²= 0.6 kg.[/tex]

Therefore, each sphere's mass is 0.6 kg.

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Related Questions

We always see the same side of the Moon because a. the Moon does not rotate on its axis. b. the Moon rotates on its axis once for each revolution around Earth. c. when t…
We always see the same side of the Moon because
a. the Moon does not rotate on its axis.
b. the Moon rotates on its axis once for each revolution around Earth.
c. when the other side of the Moon is facing Earth, it is unlit.
d. when the other side of the Moon is facing Earth, it is on the opposite side of Earth.
e. none of the above

Answers

We always see the same side of the Moon because the "Moon rotates on its axis once for each revolution around Earth." Thus, the correct option will be B.

How does the Moon rotates?

When the Moon rotates on its axis once for each revolution around Earth, then we always see the same side of the Moon. The reason behind this is that the moon's rotation takes almost the same time as it takes to orbit the Earth.

When the same side of the moon is facing the Earth, it appears to be unchanging. That is why we always see the same side of the moon from Earth. The other side of the Moon is known as the far side, which was first observed by the Soviet spacecraft Luna 3 in 1959.

Therefore, the correct option will be B.

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a student pulls a 1500 kg suitcase along a flat sidewalk. if the cord on the suitcase breaks when the force is greater than 50n, what is the maximum acceleration that the student can achieve with the suitcase?

Answers

The maximum acceleration that the student can achieve with the 1500 kg suitcase is 50N/1500kg = 0.033 m/s2.

Acceleration is the change in velocity per unit time. Acceleration is a vector quantity that has both magnitude and direction. Acceleration is divided into deceleration acceleration and acceleration acceleration. Acceleration decreases meaning the direction of acceleration is opposite to the direction of velocity.


To calculate the maximum acceleration, we can use the following equation:
Force = Mass x Acceleration. Therefore, 50N = 1500kg x Acceleration

Solving for Acceleration, we get 50N/1500kg = 0.033 m/s2.

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what happens after the helium flash in the core of a star?

Answers

After the helium flash in a star, the core quickly heats up and expands.

A helium flash is the very brief thermal runaway nuclear fusion of significant amounts of helium into carbon during the red giant phase of low mass stars (between 0.8 solar masses (M) and 2.0 M). The centre expands as a result of the core becoming warmer as a result of this.

Following the onset of helium nuclear reactions in a star's core, helium nuclei fuse to create carbon and oxygen.

Most of the time, the stars' positions in reference to one another remain constant. Convergence between Orion and Taurus is ongoing. Ursa Minor is never far from Draco. The stars appear to us as an endless backdrop painting in the sky that hardly moves in reference to one another.

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Which term describes the energy an object has due to the motion of its
particles?
A. Magnetic energy
B. Chemical energy
C. Elastic energy
D. Thermal energy

Answers

Answer: The answer is D. Thermal Energy.

Explanation:

Thermal energy is a type of kinetic energy owing to the fact that it results from the movement of particles.

A student standing on the ground throws a ball straight up. The ball leaves the student's hand with a speed of 11 m/s when the hand is 1.8 m above the ground. How long is the ball in the air before it hits the ground? (The student moves her hand out of the way.)

Answers

The ball is in the air for about 1.8 seconds before it hits the ground after it leaves the student's hand with a speed of 11 m/s when the hand is 1.8 m above the ground.

Projectile motion is a kind of movement experienced by an object or particle (a projectile) that is projected near the Earth's surface and moves along a curved path under the gravity of the Earth. In general, projectile motion refers to a free-body's motion influenced only by gravity. A student throws a ball straight up while standing on the ground. When her hand is 1.8 m above the ground, the ball leaves her hand at a speed of 11 m/s. The time the ball is in the air before it hits the ground is calculated as follows:Using the equation:

∆y = v0yt + 1/2gt² Where ∆y is the displacement (in this case, -1.8 m) of the projectile along the vertical axis, v0y is the initial vertical velocity (in this case, 11 m/s), t is the time of flight, and g is the acceleration due to gravity (9.81 m/s²):-1.8 m = (11 m/s)t + (1/2)(-9.81 m/s²)t².Rearranging the equation, we get:-4.905t² + 11t - 1.8 = 0.

Using the quadratic formula, we get:t = (-11 ± sqrt(11² - 4(-4.905)(-1.8))) / (2(-4.905))= 1.77 s or t = 0.20 s. Since the ball is in the air for approximately 1.77 s before it hits the ground, and the student's hand is 1.8 m above the ground, the ball is in the air for about 1.8 seconds before it hits the ground. Therefore, the correct answer is the option C, 1.8 seconds.

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In the context of research evidence from the study conducted by Williams and McCririe, which of the following operates when a person picks up information critical to catching an object
both central and peripheral vision

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In the context of research evidence from the study conducted by Williams and McCririe, both central and peripheral vision operate when a person picks up information critical to catching an object.

What is vision?

Vision is the sense that allows us to recognize and understand the physical world around us. Our brains then receive this information and convert it into the pictures that we see with our eyes.

Vision is the term used to describe the ability to see things with our eyes, such as color, form, and movement.

In the context of research evidence from the study conducted by Williams and McCririe, both central and peripheral vision operate when a person picks up information critical to catching an object.

Their research found that peripheral vision was essential to athletes performing in certain sports such as cricket, soccer, and baseball.

Peripheral vision, as well as central vision, are critical components of efficient eye tracking and hand-eye coordination.

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A small block with mass 0.0400 kg slides in a vertical circle of radius R = 0.500 m on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point A, the normal force exerted on the block by the track has magnitude 3.95 N. In this same revolution, when the block reaches the top of its path, point B, the normal force exerted on the block has magnitude 0.680 N. How much work is done on the block by friction during the motion of the block from point A to point B?

Answers

The work done on the block by friction during the motion of the block from point A to point B is 2.49 J.

The normal force acting on the block at point A and point B is different. We can find the weight of the block at points A and point B using the following formula:

Weight = mg,

where m is the mass of the block and g is the acceleration due to gravity.

Weight at point A = m × g

Weight at point B = m × g

Now, the normal force acting on the block at point A is given as 3.95 N.

Therefore, we can write the equation for the weight and normal force as:

Weight at point A - Normal force at point A = m × a

Now, at point A, the acceleration acting on the block is the centripetal acceleration a = v²/R where v is the velocity of the block at point A.

We can write the equation for the weight and normal force as:

m × g - 3.95 = m × v²/R

Similarly, at point B, we can write the equation for the weight and normal force as:

m × g - 0.680 = m × v²/R

Now, we can solve both the equations for the velocity of the block at point A and point B:

Velocity at point A, v₁ = √(gR - 3.95/m)

Velocity at point B, v₂ = √(gR - 0.680/m)

The change in kinetic energy during the motion from point A to point B is given by:

∆KE = KE₂ - KE₁

= (1/2)mv₂² - (1/2)mv₁²

We know that work done, W = ∆KE

So, the work done on the block by friction during the motion of the block from point A to point B is given by:

W = (1/2)m(v₂² - v₁²)

Substituting the values in the above equation:

W = (1/2) × 0.0400 × ((√(9.81 × 0.500 - 0.680/0.0400))² - (√(9.81 × 0.500 - 3.95/0.0400))²)

W = 2.49 J

Therefore, the work done on the block by friction is 2.49 J.

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in one cycle a heat engine absorbs 480 j from a high-temperature reservoir and expels 320 j to a low-temperature reservoir. if the efficiency of this engine is 56% of the efficiency of a carnot engine, what is the ratio of the low temperature to the high temperature in the carnot engine?

Answers

The ratio of the low temperature to high temperature of the Carnot engine is 2.38.

What is the efficiency of Carnot engine?

The efficiency of the Carnot engine can be defined as the ratio of network done per cycle by the engine to the heat energy absorbed by the engine per cycle by the working substance from the source.


Efficiency = 1 - (Tlow/Thigh)


Heat absorbed by engine = 480J

Heat expelled by engine = 320J

Efficiency of the engine = 56% of efficiency of Carnot engine

The ratio of low temperature to high temperature in the Carnot engine.

Let's assume the efficiency of the Carnot engine is 'ηc' = 1 - T₂/T₁

Where, T₂ = Low temperature and T₁ = High temperature

To calculate the efficiency of the engine given, η = (Q1 - Q2)/Q1

η = (480 - 320)/480

η = 160/480

η = 1/3

η = 33.33%

Now, η = 56% × ηc

0.56ηc = 1/3ηc = (1/3)/0.56 = 0.58

As we already know, ηc = 1 - T₂/T₁

T₂/T₁ = 1 - ηc

T₂/T₁ = 1 - 0.58

T₂/T₁ = 0.42

T₁/T₂ = 1/0.42

T₁/T₂ = 2.38

Therefore, the ratio of low temperature to high temperature in the given Carnot engine with an efficiency of 56% will be about 2.38.

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Milk with a density of 970 kg/m ∧ 3 is transported on a level road in a 9−m long, 3−m diameter cylindrical tanker. The tanker is completely filled with milk, i.e., no air space in the tank. If the truck is accelerating from a stop signal at 7.0 m/s ∧ 2 to the left, determine the pressure difference between the maximum and minimum pressures in the tank. Depict on the figure the location of the minimum and maximum pressures in the tank.

Answers

ΔP = (970 kg/m^3)(7.0 m/s^2)(4.26 m) = 29,852 Pascal. Therefore, the pressure difference between the maximum and minimum pressures in the tank is 29,852 Pa. The minimum pressure occurs at the bottom of the tank, while the maximum pressure occurs at the top of the tank.

The pressure difference between the maximum and minimum pressures in the tank can be calculated using the equation for pressure:

P = ρgh

where P is the pressure, ρ is the density of the milk, g is the acceleration due to gravity, and h is the height of the liquid column. Since the tanker is cylindrical and completely filled with milk, the height of the liquid column can be determined using the formula for the volume of a cylinder:

V = πr^2h

where V is the volume of the milk, r is the radius of the tanker (which is half of the diameter), and h is the height of the milk column. Solving for h, we get:

h = V / (πr^2)

The volume of the milk can be determined using the formula for the volume of a cylinder:

V = πr^2h

where r is the radius of the tanker (which is half of the diameter), and h is the length of the tanker. Substituting the given values, we get:

V = π(3/2)^2(9) = 31.8 m^3

The height of the liquid column is:

h = V / (πr^2) = 31.8 / (π(3/2)^2) = 4.26 m

The pressure difference between the maximum and minimum pressures in the tank can be calculated using the formula:

ΔP = ρgh

where ΔP is the pressure difference, ρ is the density of the milk, g is the acceleration due to gravity, and h is the height of the liquid column. Substituting the given values, we get:

ΔP = (970 kg/m^3)(7.0 m/s^2)(4.26 m) = 29,852 Pa

Therefore, the pressure difference between the maximum and minimum pressures in the tank is 29,852 Pa. The minimum pressure occurs at the bottom of the tank, while the maximum pressure occurs at the top of the tank.

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Two very long parallel wires are a distance d apart and carry equal currents in opposite directions. The locations where the net magnetic field due to these currents is equal to double the magnetic field of one wire are found A. midway between the wires. B. The net field is not zero any where. C. a distanced/√2 to the left of the left wire and also a distance d/√2 to to the right of the right wire. a distance d /2 to the left of the left wire and also a distance d/2 to the right of the right wire. D. a distance d to the left of the left wire and also a distance d to the right of the right wire.

Answers

A distance d/√2 to the left of the left wire and also a distance d/√2 to the right of the right wire. The correct option is C.

How to calculate the distance of the magnetic field?

Let's consider a point P at a distance d/√2 to the left of the left wire. At this point, the magnetic field due to the left wire is:

B₁= μ₀I/(2π(d/√2))

Similarly, the magnetic field due to the right wire at point P is:

B₂ = μ₀I/(2π((d/√2)+d))

The net magnetic field at point P is:

Bnet = B₂ - B₁ = μ₀I/(2π((d/√2)+d)) - ₀/(2π(d/√2))

Simplifying this expression, we get:

Bnet = μ₀I/(2πd)

This is equal to the magnetic field due to one wire at a distance d from the wire. Therefore, the net magnetic field is double the magnetic field of one wire at a distance d/√2 to the left of the left wire and also a distance d/√2 to the right of the right wire. Option C is correct.

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Help asaaap it's about doppler effect

Answers

The frequency that the bad guy hear is 12000 hz when the police car is moving with speed of 80m/s.

Frequencyfo=fs(vvov), where fo is the observed frequency, fs is the source frequency, v is the speed of sound, vo is the observer's speed, the top sign indicates the observer is approaching the source, and the bottom sign indicates the observer is leaving the source.Equation fo=800(80-65) fo = 12000 after substituting the variablesThe apparent change in frequency of a wave as a result of an observer moving with respect to the wave source is known as the Doppler effect or Doppler shift. It bears the name of the Austrian physicist Christian Doppler, who first described the phenomenon in 1842.

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When using compass orientation, migrating animals make use of _____.a. memories from previous trips with parentsb. familiar landmarks and olfactory cuesc. the north and south polesd. the sun, stars, and Earth's magnetic field

Answers

When using compass orientation, migrating animals make use of the sun, stars, and Earth's magnetic field to navigate. So, option d is correct option.

Compass orientation in migrating animals is the process of using the sun, stars, and Earth's magnetic field to navigate. Migrating animals use a variety of techniques to navigate, depending on their species and environment.

Some animals use the position of the sun, stars, and Earth's magnetic field as their primary means of orientation when migrating. This is known as compass orientation.

Compass orientation is a technique that relies on environmental cues, such as the position of the sun and stars, to determine direction. Some animals can use the Earth's magnetic field to navigate as well. This is known as magnetic orientation.

Magnetic orientation is used by some species of birds and fish, as well as certain insects and reptiles. Other animals use landmarks and olfactory cues to navigate.

These animals rely on visual or chemical markers in the environment to orient themselves. This technique is known as piloting. Piloting is used by animals such as rodents, bats, and some species of birds. Animals that use piloting must be able to remember and recognize the landmarks they use as cues to navigate.

Finally, some animals use memories from previous trips with parents to navigate. This technique is known as true navigation. True navigation requires animals to have a highly developed sense of spatial awareness and memory. True navigation is used by animals such as sea turtles and some species of birds.

All of these techniques require different cognitive abilities and sensory mechanisms, but they allow animals to navigate over long distances to reach their desired destinations.

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a 35.0-g bullet moving at 475 m/s strikes a 4.4-kg bag of flour that is on ice, at rest. the bullet passes through the bag, leaving at 220 m/s. how fast is the bag moving when the bullet exits?

Answers

When the 35.0-g bullet moving at 475 m/s strikes the 4.4-kg bag of flour, the momentum of the bullet is transferred to the bag of flour, causing the bag of flour to move and the bag moving when the bullet exits at 91.3 m/s.

What is the speed of bag moving when the bullet exits?

We can calculate the velocity of the bag of flour after the collision using conservation of momentum:

Here we have the following data as :

Momentum of bullet before collision = Momentum of bullet and bag after collision

m bullet × v bullet, before = (m bullet + m bag) bag × v bag, after

We can solve for v bag ,after:

v bag ,after = (m bullet × v bullet, before) / (m bullet + m bag)

v bag, after = (35.0 g × 475 m/s) / (35.0 g + 4.4 kg) = 91.3 m/s

Therefore, the bag of flour is moving at 91.3 m/s when the bullet exits.

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What happens to the conductive properties of wood when it gets very hot?
A. It will change from being a good insulator to becoming a good conductor.
B. It will continue to remain a good conductor.
C. It will continue to remain a good insulator.
D. It will change from being a good conductor to becoming a good insulator.

Answers

Wood will still be an effective insulator. when the temperature of the wood reaches an extreme level.

Compared to materials like metals, marble, glass, and concrete, wood has a low thermal conductivity (high capacity to absorb heat). The axial direction of thermal conductivity is highest, and it rises with density and moisture content, making light, dry woods better insulators.

Insulators are substances that hinder the easy passage of electricity. Plastic, wood, and rubber are among the most insulating nonmetal materials.

Typically, wood has a perpendicular to the grain heat conductivity of between 0.1 and 0.2 W/mK.

It begins to pyrolyze when the temperature rises. Either the materials' internal structure retains the decomposition products, or they release them as gases. When gaseous substances interact with oxygen and each other, a lot of heat is produced. This additional heat promotes pyrolysis and combustion reactions.

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Assume the motions and currents mentioned are along the x axis and fields are in the y direction.
(a) Does an electric field exert a force on a stationary charged object?
YesNo
(b) Does a magnetic field do so?
YesNo
(c) Does an electric field exert a force on a moving charged object?
YesNo
(d) Does a magnetic field do so?
YesNo
(e) Does an electric field exert a force on a straight current-carrying wire?
YesNo
(f) Does a magnetic field do so?
YesNo
(g) Does an electric field exert a force on a beam of moving electrons?
YesNo
(h) Does a magnetic field do so?
YesNo

Answers

(a) Yes, an electric field can exert a force on a stationary charged object. A stationary charged object will experience a force in the direction of the electric field due to the Coulombic interaction between the charges.

(b) No, a magnetic field does not exert a force on a stationary charged object. A stationary charged object does not experience a force due to a magnetic field unless it is moving.

(c) Yes, an electric field can exert a force on a moving charged object. A moving charged object will experience a force perpendicular to its velocity and the electric field direction, known as the Lorentz force.

(d) Yes, a magnetic field can exert a force on a moving charged object. A moving charged object in a magnetic field will experience a force perpendicular to both its velocity and the magnetic field direction, also known as the Lorentz force.

(e) Yes, an electric field can exert a force on a straight current-carrying wire. The electric field exerts a force on the charges in the wire, causing them to move, which results in a net force on the wire.

(f) Yes, a magnetic field can exert a force on a straight current-carrying wire. The magnetic field exerts a force on the moving charges in the wire, resulting in a net force on the wire.

(g) Yes, an electric field can exert a force on a beam of moving electrons. The electric field exerts a force on the electrons, causing them to accelerate or decelerate depending on the direction of the field.

(h) Yes, a magnetic field can exert a force on a beam of moving electrons. The magnetic field exerts a force on the moving electrons, causing them to experience a deflecting force perpendicular to their velocity and the magnetic field direction.

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what is the minimum angular velocity (in rpm ) for swinging a bucket of water in a vertical circle without spilling any? the distance from the handle to the bottom of the bucket is 35 cm . express your answer in revolutions per minute.

Answers

The minimum angular velocity (in rpm) for swinging a bucket of water in a vertical circle without spilling any is 5.56 rpm.

The minimum angular velocity (in rpm) for swinging a bucket of water in a vertical circle without spilling any is given by the formula; Vmin=√g/R

where:

Vmin = minimum angular velocity (in rpm)g = acceleration due to gravity (9.81 m/s²)R = radius of the circular path or distance from the handle to the bottom of the bucket (35 cm)

To express the answer in revolutions per minute, the radius of the circle must be converted to meters;R = 35 cm = 0.35 m

Substituting the values given above into the formula;

Vmin=√g/R Vmin=√9.81/0.35 Vmin = 5.56 rpm

Therefore, the minimum angular velocity (in rpm) for swinging a bucket of water in a vertical circle without spilling any is 5.56 rpm.

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a waterbed heater uses 450 w of power. it is on 35 % of the time, off 65 % . part a what is the annual cost of electricity at a billing rate of $0.13 per kwhr ? express your answer using two significant figures.

Answers

The annual cost of electricity at a billing rate of $0.13 per kWhr for a waterbed heater that uses 450 W of power is $36.51.

What is the usage of the waterbed heater in a day?

For the calculation of the energy consumed, one must know the energy consumed by the heater per day. The energy consumed in one day can be calculated by multiplying the power consumed by the hours the heater is used. The power consumed by the heater is 450 W.

The heater is used 35% of the time and is off 65% of the time. The percentage of time the heater is used is calculated using the formula:

Percentage of time the heater is used = (Time heater is on/Total time) × 100

Percentage of time the heater is used = (35/100) × 100

Percentage of time the heater is used = 35%

The percentage of time the heater is off is calculated using the formula:

Percentage of time the heater is off = (Time heater is off/Total time) × 100

Percentage of time the heater is off = (65/100) × 100

Percentage of time the heater is off = 65%

Thus, the heater is used for 8.4 hours per day (i.e., 24 hours × 35%) and is off for 15.6 hours per day (i.e., 24 hours × 65%).

The energy consumed per day can be calculated by multiplying the power consumed by the time the heater is on. Energy consumed per day = Power consumed × Time heater is on

Energy consumed per day = 450 W × 8.4 hours

Energy consumed per day = 3780 Wh

Energy consumed per day = 3.78 kWh

The annual cost of electricity can be calculated by multiplying the energy consumed per year by the cost of electricity per kWh.

Annual cost of electricity = Energy consumed per year × Cost of electricity per kWh

Annual cost of electricity = 3.78 kWh × $0.13/kWh

Annual cost of electricity = $0.4914/day

Annual cost of electricity = $179.31/year

Hence, the annual cost of electricity at a billing rate of $0.13 per kWhr for a waterbed heater that uses 450 W of power is $36.51.

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A student wants to use the output from the aux port on their phone to play music from their speakers. The aux port supplies 5v and a max current of 0.015A, but the speakers need 12v and a max current of 1.5A. You decide to use a power transistor to amplify the signal from the aux port. What does the beta value of your chosen transistor need to be to amplify the current enough?

pls explain or elaborate the answer if u can!!

Answers

Answer:The beta value of a transistor represents the current gain, which is the ratio of the collector current to the base current. In this case, we want to use the transistor as an amplifier to increase the current from the 0.015A supplied by the phone to the 1.5A required by the speakers.

The required current gain can be calculated using the following formula:

Beta = (Ic / Ib)

Where:

Beta is the current gain of the transistor

Ic is the collector current (output current)

Ib is the base current (input current)

To find the required beta value, we need to first calculate the base current required to drive the transistor. We can use Ohm's Law to do this:

Ib = V / R

Where:

Ib is the base current

V is the voltage supplied by the phone (5V)

R is the input resistance of the transistor circuit

Assuming an input resistance of 1kΩ, the base current required is:

Ib = V / R = 5 / 1000 = 0.005A (5mA)

Now, we can calculate the required collector current using the maximum current required by the speakers:

Ic = 1.5A

Finally, we can calculate the required beta value:

Beta = Ic / Ib = 1.5 / 0.005 = 300

Therefore, we need to choose a power transistor with a beta value of at least 300 to amplify the current from the aux port enough to drive the speakers.

Explanation:

The electric flux through a spherical surface is4.3×104 N⋅m2/C. What is the net charge enclosed by the surface? The net charge enclosed by the surface isμC. The electric flux through a cubical box34 cmon a side is7.5×103 N⋅m2/C. What is the total charge enclosed by the box? The total charge enclosed by the box isμC

Answers

For the electric flux through a spherical surface is 4.3 x 10⁴ N⋅m²/C, then the net charge enclosed by the surface is μC, and for the electric flux through a cubical box 34 cm on a side is 7.5 x 10³ N⋅m²/C, the total charge enclosed by the box is μC.

The electric flux through a spherical surface is 4.3 x 10⁴ N⋅m²/C.

The net charge is Electric Flux = Charge / Surface Area,

so the net charge enclosed is 4.3 x 10⁴ / (4πr²) where r is the radius of the sphere.

Therefore, the net charge enclosed by the surface is μC.

The electric flux through a cubical box 34 cm on a side is 7.5 x 10³ N⋅m²/C.

The total charge is Electric Flux = Charge / Surface Area,

so the total charge enclosed is 7.5 x 10³ / (6a²)

where a is the length of one side of the cube.

Therefore, the total charge enclosed by the box is μC.

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write an expression for the magnitude of the force, f, exerted on the firefighter by the pole. answer in terms of the variables from the problem statement as well as g for the acceleration due to gravity.

Answers

The expression for the magnitude of the force exerted on the firefighter by the pole can be expressed as  F = mg + ma.  

Where m is the mass of the firefighter,

g is the acceleration due to gravity, and

a is the acceleration of the pole

In order to find an expression for the magnitude of the force, F, exerted on the firefighter by the pole, we need to consider the forces acting on the firefighter.

According to Newton's second law of motion, the force acting on an object is equal to its mass multiplied by its acceleration. In this case, the forces acting on the firefighter are the gravitational force, which is pulling the firefighter downwards with a force of mg, and the force exerted on the firefighter by the pole, which is pushing the firefighter upwards with a force of ma. Therefore, the total force acting on the firefighter is given by the sum of these two forces, which is: F = mg + ma

Thus, this expression gives us the magnitude of the force exerted on the firefighter by the pole. Here, m is the mass of the firefighter, g is the acceleration due to gravity, and a is the acceleration of the pole. if the pole is not accelerating (i.e., if a = 0), then the expression reduces to F = mg, which is the gravitational force acting on the firefighter.

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A straight 2.40 m wire carries a typical household current of 1.50 A (in one direction) at a location where the earth's magnetic field is 0.550 gauss from south to north. *I know there's a lot of questions, but I will rate the you-know-what out of you a) Find the direction of the force that our planet's magnetic field exerts on this cord if is oriented so that the current in it is running from west to east. b) Find the magnitude of the force that our planet's magnetic field exerts on this cord if is oriented so that the current in it is running from west to east. c) Find the direction of the force that our planet's magnetic field exerts on this cord if is oriented so that the current in it is running vertically upward. d) Find the magnitude of the force that our planet's magnetic field exerts on this cord if is oriented so that the current in it is running vertically upward. e) Find the direction of the force that our planet's magnetic field exerts on this cord if is oriented so that the current in it is running from north to south. f) Find the magnitude of the force that our planet's magnetic field exerts on this cord if is oriented so that the current in it is running from north to south. g) Is the magnetic force ever large enough to cause significant effects under normal household conditions?

Answers

a) If the current is running from west to east, the force that our planet's magnetic field exerts on this cord is directed upwards
b) The magnitude of the force that our planet's magnetic field exerts on this cord if it is oriented so that the current in it is running from west to east is F =2.64 x 10^-4 N
c) If the current is running vertically upward, the force that our planet's magnetic field exerts on this cord is directed to the left.  west
d) The magnitude of the force that our planet's magnetic field exerts on this cord if it is oriented so that the current in it is running vertically upward is F = 0 zero
e) If the current is running from north to south, the force that our planet's magnetic field exerts on this cord is directed east.
f) The magnitude of the force that our planet's magnetic field exerts on this cord if it is oriented so that the current in it is running from north to south is F = 2.64 x 10^-4 N
g) The magnetic force is not large enough to cause significant effects under normal household conditions.

EXPLANATION

a) The direction of the force that our planet's magnetic field exerts on the cord is perpendicular to both the direction of the current and the direction of the magnetic field, according to the right-hand rule. In this case, if the current is running from west to east, and the magnetic field is from south to north, the force will be directed upwards.

b) The magnitude of the force can be calculated using the formula:

F = BIL sin(theta)

where B is the magnitude of the magnetic field, I is the current, L is the length of the wire, and theta is the angle between the direction of the current and the direction of the magnetic field. In this case, theta is 90 degrees, so sin(theta) = 1. Substituting the given values, we get:

F = (0.550 x 10^-4 T) x (1.50 A) x (2.40 m) x 1

= 2.64 x 10^-4 N

Therefore, the magnitude of the force is 2.64 x 10^-4 N.

c) If the current in the wire is running vertically upward, the force will be directed towards the west.

d) Using the same formula as in part (b), we can calculate the magnitude of the force:

F = (0.550 x 10^-4 T) x (1.50 A) x (2.40 m) x sin(90)

= 0

Therefore, the magnitude of the force is zero.

e) If the current in the wire is running from north to south, the force will be directed towards the east.

f) Using the same formula as in part (b), we can calculate the magnitude of the force:

F = (0.550 x 10^-4 T) x (1.50 A) x (2.40 m) x 1

= 2.64 x 10^-4 N

Therefore, the magnitude of the force is 2.64 x 10^-4 N.

g) The magnitude of the magnetic force in this case is quite small, and under normal household conditions, it is unlikely to cause significant effects. However, in some situations, such as in electrical power transmission systems, the effects of the magnetic force may need to be taken into account.

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Select the correct location on the image.
The image shows the visible light spectrum received from a star. Which three parts of the spectrum show the presence of elements in the star’s atmosphere?

Answers

The visible light spectrum is the range of wavelengths the human eye can detect, ranging from 380 to 700 nanometers.

What are visible light examples?

People think of the sun, light bulbs, candles, and flames when they think of light, but visible light originates from many sources and in many hues. Other visible light sources include television and computer displays, glow sticks, and pyrotechnics.

This is why this area of the electromagnetic spectrum is known as the visible spectrum or colour spectrum. It primarily comprises of seven colours: violet, blue, green, yellow, orange, and red.

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Answer:

It is the three spots where there are lines. Between 400 and 500(the two lines), between 600 and 700(the two lines), and the one line between 700 and 800.

a density bottle has a mass of 0.04kg when empty a mass of 0.20kg when some quality of steel ball bearing is added to it and a mass of 0.24kg when the remainder of the bottle is filled with water. if the density bottle weight 0.1kg when filled with water. calculate the relative density of the steel ball bearing.​

Answers

Answer:

Bottle                 =               .04

Bottle + Bearing    =            .20

Bottle + Bearing + Water = .24

Bottle + Water =                   .1

Full bottle of water weighs  =  .06

Weight of bearing    =           .16

What volume  of water does the bearing replace????

It takes .14 of bottle to replace bearing leaving .06 of water

Density = 16 / 6 = 2.67

Check:     probably should use volumes

A battery-powered toy car pushes a stuffed rabbit across the floor.Part ADraw a free-body diagram for a car (assume that it is moving from left to the right).Draw the force vectors with their tails at the dot. The orientation of your vectors will be graded. The exact length of your vectors will not be graded but the relative length of one to the other will be graded.Part BDraw a free-body diagram for a rabbit.Draw the force vectors with their tails at the dot. The orientation of your vectors will be graded. The exact length of your vectors will not be graded but the relative length of one to the other will be graded.

Answers

Part A: Thrust acts on the right in the direction of motion. Gravity acts downward.

Part B:  The direction of air resistance is opposite to the direction of motion, which is shown towards the left. Gravity acts downwards.

Part A:

A free-body diagram for a car is as follows:

The direction of friction is opposite to the direction of motion, which is shown towards the left.
The diagram shows three forces acting on the toy car that is battery-powered, which is as follows:
The force due to friction is labeled as [tex]f_K[/tex].

The force of thrust is labeled as [tex]f_T[/tex]. The force of gravity is labeled as [tex]f_g[/tex].
Part B:

A free-body diagram for a rabbit is as follows:
The diagram shows three forces acting on the stuffed rabbit that is being pushed by a toy car that is battery-powered, which is as follows:

The direction of friction is opposite to the direction of motion, which is shown towards the right.
The force due to friction is labeled as [tex]f_K[/tex]. The force due to air resistance is labeled as fair. The force of gravity is labeled as [tex]f_g[/tex].
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an object starts from rest at when the object moves in the x direction with positive velocity after the instantaneous velocity and average velocity are related by (a) (b) (c) (d) can be larger than, smaller than, or equal to

Answers

When an object starts from rest, and it moves in the x direction with a positive velocity, the instantaneous velocity and average velocity are related by the inequality d) "can be larger than, smaller than, or equal to."

The rate at which an object moves in a given direction is known as velocity. It is a vector quantity that has a magnitude and a direction. For example, if an object moves 10 meters to the north in 5 seconds, the velocity is 2 m/s northward.Average velocity and instantaneous velocityInstantaneous velocity is the velocity of an object at a particular instant or point in time. In other words, it's the speed of an object at a specific moment. The average velocity is the total displacement divided by the total time taken for the motion. In other words, it is the total distance covered in a given direction over a specific time period.

The instantaneous velocity and average velocity are related by the inequality that can be larger than, smaller than, or equal to. The instantaneous velocity represents the velocity at a particular moment or point in time, while the average velocity represents the average velocity over a specified time period. The instantaneous velocity and average velocity can be different because the instantaneous velocity is the velocity at a specific moment, whereas the average velocity is the average of all the velocities over a given period of time. Therefore, the instantaneous velocity and average velocity are related by the inequality d) "can be larger than, smaller than, or equal to."

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Which of the following correctly compares the Sun's energy generation process to the energy generation process in human-built nuclear power plants?
Both processes involve nuclear fusion, but the Sun fuses hydrogen while nuclear power plants fuse uranium.
The Sun generates energy by fusing small nuclei into larger ones, while our power plants generate energy by the fission (splitting) of large nuclei.
The Sun generates energy through nuclear reactions while nuclear power plants generate energy through chemical reactions.
The Sun generates energy through fission while nuclear power plants generate energy through fusion.

Answers

The correct comparison of the energy generation processes is "The Sun generates energy by fusing small nuclei into larger ones, while our power plants generate energy by the fission (splitting) of large nuclei". Thus, the correct options are A and B.

What is Nuclear power?

Nuclear reactions involve the alteration of an atom's nucleus in both cases. Nuclear power plants and the sun both use energy generated by these nuclear reactions to produce electricity. The difference is in the type of nuclear reaction that takes place.

In the Sun, nuclear fusion is the process by which atomic nuclei of low atomic number fuse to form a heavier nucleus with the release of energy. The energy produced in this way is what makes the Sun so hot and bright. In a nuclear power plant, nuclear fission is the process by which the nucleus of an atom is split into two smaller nuclei.

The energy that is released in the process is used to heat water, creating steam that drives a turbine, which in turn drives a generator to produce electricity.

Therefore, the correct options are A and B.

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Given the definition of EER, find the EER of an 8000 Btu/hour air conditioner that requires a power input of 1500 W. Express your answer numerically in British thermal units per hour per watt. EER = __________(Btu/hour)/W

Answers

EER is defined as the Energy Efficiency Ratio which is the ratio of cooling capacity in BTU/hr to the power input in watts.

The EER of the given 8000 Btu/h air conditioner is 5.33 Btu/hour per watt.

In the case of the given 8000 Btu/h air conditioner that requires a power input of 1500 W, the EER can be calculated as follows:

EER = (cooling capacity in Btu/hr) / (power input in watts)

EER = 8000 Btu/hour / 1500 W = 5.33 Btu/hour per wat.

Energy efficiency ratio (EER) is used in the USA and is defined as the system output in Btu/h per watt of electrical energy.

Coefficient of performance (COP) is the equivalent measure using SI units, which is widely used in the UK. A COP of 1.0 equates to an EER of 3.4.

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The half life of a radioactive substance is 5 hours. If 5g of the substance is left after 20 hours, determine the original mass of the substance​

Answers

Answer:

The original mass of the substance was 10g.

Explanation:

The half-life of a radioactive substance is the amount of time it takes for half of the substance to decay. In this case, the half-life is 5 hours.

We can use the half-life formula to find the original mass of the substance:

N = N0 * (1/2)^(t/T)

where:

---N0 is the initial mass of the substance

---N is the remaining mass of the substance after time t

---T is the half-life of the substance

We know that after 20 hours, only half of the substance remains:

N = N0 * (1/2)^(20/5) = 0.5 * N0

If we solve for N0, we get:

N0 = N / 0.5 = 5g / 0.5 = 10g

Therefore, the original mass of the substance was 10g.

A student walks 1.0 kilometer due east and 1.0 kilometer due south. Then
she runs 2.0 kilometers due west. The magnitude of the student's
resultant displacement is closestto
A. 3.4 km
B. 1.4 km
C. 4.0 km
D. O km

Answers

The resulting displacement will be 3.4 km. The correct option is A.

How to calculate the displacement?

The displacement is calculated by finding the displacement from east to west, which is 2.0 km, and subtracting the displacement from north to south, which is 1.0 km.

A student walks 1.0 kilometers due east and 1.0 kilometers due south. Then she runs 2.0 kilometers due west. The magnitude of the student's resultant displacement is closest to 3.4 km.

To begin with, we may use the Pythagorean Theorem to determine the resultant displacement's magnitude. The Pythagorean Theorem is a formula that is used to determine the length of a right triangle's sides when one is missing. This theorem is used to calculate the magnitude of the resultant displacement, which is a quantity. It's a good idea to draw a diagram to help you understand the problem.

Here's a rough sketch of the scenario: We will now apply the Pythagorean theorem in this way: The resultant displacement's magnitude is 3.4 kilometers. Thus, the correct option is A.

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open the experiment file containing your pressure-temperature data. make sure that your graph displays temperature on the horizontal axis. if the relationship between pressure and temperature appears to be linear, fit a line to your data. if not, take the necessary steps to obtain a linear relationship. 2. is it correct to state that the pressure is proportional to the celsius temperature; i.e., does a doubling of the temperature produce a doubling of the pressure? if not, then manipulate your graph (logger pro) or use your equation to determine the celsius temperature at which the pressure of a gas should drop to zero. your instructor may guide you in this process. compare your experimental value to the accepted value for this temperature. 3. write a statement relating pressure to the absolute temperature of a gas.

Answers

The absolute temperature is determined by the Kelvin scale, which is the sum of the Celsius temperature and 273.15.

What is a temperature scale?

A temperature scale is a system used to measure and quantify the degree of hotness or coldness of an object or substance. It defines a set of numerical values that correspond to specific temperatures, which can be used to compare temperatures and measure changes in temperature over time.

To open the experiment file containing your pressure-temperature data, first launch the Logger Pro software. From there, you can access your file and adjust the graph's axes accordingly. If the data appears to follow a linear relationship, then fit a line to the data by clicking on the Linear Fit option from the Analyze menu. If the data does not appear to follow a linear relationship, take the necessary steps to adjust the graph and obtain a linear relationship.



It is not correct to state that the pressure is proportional to the Celsius temperature. Pressure increases as temperature increases, but it is not a linear relationship. To find the temperature at which the pressure of a gas should drop to zero, you can either manipulate the graph or use the equation to determine the Celsius temperature. Once you have obtained the temperature, compare it to the accepted value for this temperature.



The pressure of a gas is proportional to the absolute temperature of a gas. The absolute temperature is determined by the Kelvin scale, which is the sum of the Celsius temperature and 273.15.


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