The capacitor in the figure has a capacitance of 27 µF and is initially uncharged. The battery provides a potential difference of 116 V. After switch S is closed, how much charge will pass through it?

Answers

Answer 1

The charge that passes through the capacitor is 3.132 mC (milli Coulombs). Therefore, option B. 3.132 mCis the correct answer.

The circuit shown below is a simple circuit consisting of a battery, a capacitor, and a switch.

The capacitance of the capacitor is 27 µF, and it is initially uncharged. After switch S is closed, how much charge will pass through it?

Circuit diagram with a capacitor

The expression for the amount of charge (Q) that passes through the capacitor is

Q = CΔV,

where, C is the capacitance of the capacitor and

ΔV is the potential difference between the plates of the capacitor.

Q = CΔV = (27 × 10-6 F)(116 V)

Q = 3132 × 10-6 C

Q = 3.132 mC

The charge that passes through the capacitor is 3.132 mC (milli Coulombs).

for such more question on capacitor

https://brainly.com/question/21851402

#SPJ11


Related Questions

The outer edge of a rotating Frisbee with a diameter of 30 cm has a linear speed of 3.2 m/s

What is the angular speed of the Frisbee? In rad/s

Answers

The angular speed of the Frisbee is 21.33 rad/s.

What is Angular speed ?

Angular speed is a measure of how fast an object is rotating or moving around a central point or axis. It is a scalar quantity, which is defined as the rate of change of the object's angular displacement over time, expressed in units of radians per second (rad/s).

Angular speed is calculated using the formula:

Angular speed (ω) = Δθ / Δt

The linear speed of the outer edge of the Frisbee is given by:

v = 3.2 m/s

The diameter of the Frisbee is given by:

d = 30 cm = 0.3 m

The radius of the Frisbee is half the diameter:

r = d/2 = 0.15 m

The linear speed of a point on the edge of a rotating object is related to the angular speed by the formula:

v = ωr

where ω is the angular speed in radians per second.

Substituting the given values, we can solve for ω:

ω = v/r

ω = 3.2 m/s / 0.15 m

ω = 21.33 rad/s (rounded to two decimal places)

Therefore, the angular speed of the Frisbee is 21.33 rad/s.

To know more about diameter visit:-

https://brainly.com/question/23220731

#SPJ1

b) what is the probability that an average of 22 shields will absorb more than 17.1 j/kg? use 4 decimal places.

Answers

The probability that an average of 22 shields will absorb more than 17.1 J/kg is approximately 0.3085.

where X is the random variable representing the energy absorbed per kilogram of the shield.

To calculate this probability, we need to know the distribution of X.

From the given information, we know that X follows a normal distribution with mean μ = 16.8 J/kg and standard deviation σ = 0.6 J/kg.

Thus, we can standardize X as follows:

Z = (X - μ)/σZ ~ N(0, 1)

P(X > 17.1) = P((X - μ)/σ > (17.1 - μ)/σ)

                = P(Z > (17.1 - 16.8)/0.6)

                = P(Z > 0.5)

Using a standard normal table, we can find the probability that Z > 0.5 to be 0.3085 (rounded to 4 decimal places).

Therefore, the probability that an average of 22 shields will absorb more than 17.1 J/kg is approximately 0.3085.

for such more question on probability

https://brainly.com/question/13604758

#SPJ11

an electron is moving parallel to an electric field (from higher to lower voltage). its potential energy is

Answers

The potential energy of an electron moving parallel to an electric field decreases as it moves from higher voltage to lower voltage. The work done by the electric field on the electron is equal to the decrease in potential energy. The potential energy of the electron is proportional to its charge and the voltage difference between the two points.

When an electron moves parallel to an electric field, its potential energy is conserved. The potential energy of an electron is proportional to its charge and the voltage through which it moves. As the electron moves from higher voltage to a lower voltage, its potential energy decreases. The work done by the electric field on the electron is equal to the decrease in potential energy. When the electron is at rest, it has a certain potential energy due to its position in the electric field. If the electron is allowed to move freely, it will accelerate towards the lower voltage region, gaining kinetic energy. As it moves, the electric field continues to do work on the electron, converting its potential energy into kinetic energy. If the electric field is uniform, the potential energy of the electron will be given by the equation U = -qV, where q is the charge of the electron and V is the voltage difference between the two points. The negative sign indicates that the potential energy decreases as the voltage difference decreases.

To learn more about Potential energy :

https://brainly.com/question/21175118

#SPJ11

is the amount by which the total run that conduit can cover is reduced because of the extra length required to bend around an obstacle.

Answers

Bending allowance is the amount by which the total run that conduit can cover is reduced because of the extra length required to bend around an obstacle.

When running conduit, bending is necessary to go around obstructions like structural members or corners. In order to avoid the use of too many fittings and to make installation faster and more efficient, it is best to avoid angles less than 30 degrees.
When measuring conduit length, it is important to include the bending allowance. The length of the conduit required can be calculated using the following formula:
Bending allowance = (Conduit diameter x bending angle) x 0.0175
Where,
Bending allowance is the additional length of the conduit needed to make the bend.
Conduit diameter is the diameter of the conduit being used.
Bending angle is the angle of the bend being made.
0.0175 is the constant factor used in this calculation.
For example, suppose we have to bend a 1.5-inch diameter conduit around a corner with a 45-degree angle. The bending allowance for this conduit would be:
Bending allowance = (1.5 x 45) x 0.0175
Bending allowance = 1.4 inches
So, when measuring the length of the conduit required for this bend, 1.4 inches should be added to the length of the conduit required to make up for the bending allowance.

The amount by which the total run that conduit can cover is reduced because of the extra length required to bend around an obstacle is called the bending allowance.

For similar question on Bending

https://brainly.com/question/16107975

#SPJ11

Question:-

___ is the amount by which the total run that conduit can cover is reduced because of the extra length required to bend around an obstacle.

Determine the absolute pressure on the bottom of a swimming pool 28.0 m by 8.5 m whose uniform depth is 1.8 m .
Express your answer using two significant figures.

Answers

The absolute pressure on the bottom of a swimming pool 28.0 m by 8.5 m whose uniform depth is 1.8 m is 287 kPa

the absolute pressure on the bottom of the pool is 17.6 kPa.

Pressure is defined as the amount of force per unit area applied to an object's surface. Pressure may also be defined as a scalar amount of stress exerted on a surface that is perpendicular to the direction of the force. Pressure is frequently represented by the symbol p, which stands for pressure.

Given,

Length of the pool, l = 28 m

Width of the pool, w = 8.5 m

Depth of the pool, h = 1.8 m

The density of water,

p = 1000 kg/m³

g = 9.81 m/s²

Absolute pressure formula:

p = ρgh

Absolute pressure p is given by,

p = ρgh

p = 1000 kg/m³ × 9.81 m/s² × 1.8 mp

  = 17604 Pa

Then, Converting the answer to kPa,

1 Pa = 1 × 10⁻³ kPa⇒ 17604 Pa = 17.6 kPa

Therefore, the absolute pressure on the bottom of the pool is 17.6 kPa rounded to two significant figures.

for such more question on  pressure

https://brainly.com/question/28012687

#SPJ11

A compact car can climb a hill in 10 s. The top of the hill is 30 m higher than the bottom, and the car’s mass is 1,000 kg What is the power output of the car?

Answers

Answer:

the power output of the car is 29.43 kW (rounded to two decimal places).

Explanation:

To find the power output of the car, we need to use the formula:

power = work / time

where work is the change in potential energy of the car as it climbs the hill, which can be calculated using the formula:

work = force x distance

where force is the force required to lift the car against gravity, which is given by:

force = mass x gravity

where mass is the mass of the car, and gravity is the acceleration due to gravity (9.81 m/s^2).

So, the force required to lift the car against gravity is:

force = 1000 kg x 9.81 m/s^2 = 9810 N

The distance the car travels up the hill is 30 m.

Therefore, the work done by the car is:

work = force x distance = 9810 N x 30 m = 294300 J

The time taken by the car to climb the hill is 10 s.

Therefore, the power output of the car is:

power = work / time = 294300 J / 10 s = 29430 W

moving water can be used as an energy source. select all the characteristics of this energy source that apply.

Answers

The above-listed characteristics apply to moving water as an energy source. Thus, moving water can be used as an energy source.

The following are the characteristics of moving water as an energy source:

It is a renewable energy source. It is a clean energy source. It is available in many different forms. It is the least expensive energy source to generate.

Water is an excellent resource for producing electricity since it is clean, renewable, and is available in many different forms. When water moves, it has the potential to generate energy, which can be harnessed in several ways to produce electricity. As a result, moving water is an excellent source of renewable energy, as it is available in many different forms and can be used in a variety of ways.The above-listed characteristics apply to moving water as an energy source. Thus, moving water can be used as an energy source.

for such more question on energy source

https://brainly.com/question/19887979

#SPJ11

Select the correct answer. In a given chemical reaction, the energy of the products is greater than the energy of the reactants. Which statement is true for this reaction? A. Energy is absorbed in the reaction. B. Energy is released in the reaction. C. No energy is transferred in the reaction. D. Energy is created in the reaction. E. Energy is lost in the reaction. Reset Next

Answers

A - energy is absorbed during the reaction

Estimat the number and wattage of lamps. which would be required to illuminate a workshop space 60x1.5 meteres by means of lamps mounted 5 metres above the working Plane The average illumination required is about 100 wt. coefficient of utilisation = 0.4 luminous efficiency 16 lumens per watt. Assume a space-height ratio of unity and a cundle Power depreciation of 20%​

Answers

The number and wattage of lamps required to illuminate the workshop would be approximately 8 lamps and 70 watts respectively.

Wattage calculation

To estimate the number and wattage of lamps required to illuminate a workshop space of 60x1.5 meters, we can follow these steps:

Calculate the area of the workshop:

Area = length x widthArea = 60m x 1.5mArea = 90 square meters

Determine the total lumens required:

Lumens = area x average illuminationLumens = 90 sq m x 100 luxLumens = 9000 lumens

Adjust for the coefficient of utilization and luminous efficiency:

Effective lumens = lumens / (coefficient of utilization x luminous efficiency)Effective lumens = 9000 / (0.4 x 16)Effective lumens = 1406.25 lumens

Adjust for space-height ratio and candle power depreciation:

Effective lumens per lamp = effective lumens x space-height ratio x (1 - depreciation)Effective lumens per lamp = 1406.25 x 1 x (1 - 0.2)Effective lumens per lamp = 1125 lumens

Determine the number of lamps required:

Number of lamps = total lumens required / effective lumens per lampNumber of lamps = 9000 / 1125Number of lamps = 8 lamps (rounded up)

Determine the wattage of each lamp:

Wattage per lamp = effective lumens per lamp / luminous efficiencyWattage per lamp = 1125 / 16Wattage per lamp = 70.3 watts (rounded up)

Therefore, approximately 8 lamps with a wattage of 70 watts each would be required to illuminate the workshop space.

More on wattage can be found here: https://brainly.com/question/14667843

#SPJ1

think back to what you've done so far - what are the factors that affect the temperature of the earth?

Answers

Greenhouse gases, Albedo , Orbital variations ,Solar radiation and Volcanic activity these are the factors that affect the temperature of the earth.

There are many factors that affect the temperature of the Earth, including the following:

Greenhouse gases: Certain gases, such as carbon dioxide, methane, and water vapor, trap heat in the Earth's atmosphere and cause the planet to warm up. As greenhouse gas emissions increase due to human activity, such as burning fossil fuels, the Earth's temperature is expected to continue to rise.

Albedo: This is a measure of how much light the Earth reflects back into space. When the Earth's surface is covered in snow or ice, it has a high albedo and reflects more light. When the Earth's surface is covered in dark vegetation or water, it has a low albedo and absorbs more light, which causes it to warm up. Changes in land use, such as deforestation, can also affect the Earth's albedo.

Orbital variations: The Earth's orbit around the sun changes over time due to gravitational interactions with other planets. These variations can affect the amount of sunlight that reaches different parts of the Earth and cause climate patterns to shift. For example, changes in the tilt of the Earth's axis can lead to changes in the seasons.

Solar radiation: The amount of energy the Earth receives from the sun varies over time due to changes in the sun's output and the Earth's position in its orbit. This can affect the Earth's climate, especially over long periods of time. For example, changes in solar radiation are thought to have contributed to past ice ages.

Volcanic activity: When a volcano erupts, it releases large amounts of gases and particles into the atmosphere. This can cause the Earth's temperature to drop temporarily by blocking sunlight. However, over longer periods of time, volcanic activity can also release greenhouse gases and cause the Earth to warm up.

for such more question on  temperature

https://brainly.com/question/26866637

#SPJ11

m
A baseball with a momentum of 4 kg is caught by a baseball player.
S
The baseball stops in 1 second.
What is the net force on the baseball?
Your answer should have one significant figure.
N

Answers

The net force on the baseball is approximately -4 N (one significant figure).

We can use the formula:

Net force = Change in momentum / Time

The change in momentum of the baseball is:

Δp = final momentum - initial momentum

Δp = 0 - 4 kg.m/s

Δp = -4 kg.m/s

The time taken for the baseball to stop is 1 second.

Substituting these values in the formula, we get:

Net force = -4 kg.m/s / 1 s

Net force = -4 N

Therefore, the net force on the baseball is approximately -4 N (one significant figure). Note that the negative sign indicates that the force is in the opposite direction to the initial momentum of the baseball.

What is momentum?

It is defined as the product of an object's mass and velocity, and is represented by the symbol "p". Mathematically, momentum can be expressed as: p = m * v

To know more about momentum, visit:

https://brainly.com/question/30677308

#SPJ1

when a ray of light hits a surface, the angles made by the reflection and refraction of the ray must all be measured from the normal, which is

Answers

When a ray of light hits a surface, the angles made by the reflection and refraction of the ray must all be measured from the normal, which is perpendicular to the surface at the point where the light ray hits it.

Reflection occurs when light rays hit a surface and bounce back whereas Refraction, occurs when light travels through a medium of a different density or refractive index.

The laws of reflection and refraction states that the angle of incidence is equal to the angle of reflection, and the ratio of the sine of the angle of incidence to the sine of the angle of refraction is constant. This ratio is known as the refractive index of the material from where the light is passing through.

To know more about reflection and refraction refer to:

brainly.com/question/16957723

#SPJ4

5.32 calculate ix and vo in the circuit of fig. 5.70. find the power dissipated by the 60-k resisto

Answers

The power dissipated by the 60-k Ohm resistor is 3 mv and 24mv.

[tex]=V_1=V =4mv\\=I_{iN}=\frac{4mv}{10k}=0.4\mu A\\= \frac{V_1 - V+}{50k}=0.4\mu A\\V_1 - 4m= 20m\\V_1 = 24mv[/tex]

[tex]i_x=\frac{V_1}{20+(6 || 3)} =\frac{24*10^{-3}}{(20+2.857)*10^{3}}\\i_x=1.05\mu A\\i_0=\frac{i_x*60}{60+3}=1\mu A\\V_0=3k*1\mu=3mv\\V_0=3mv[/tex]

An Ohm resistor is a passive electrical component that restricts the flow of current in an electrical circuit. It is named after Georg Simon Ohm, a German physicist who discovered Ohm's law which states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points.

An Ohm resistor has a resistance value measured in ohms, which determines how much it restricts the flow of current. The higher the resistance value, the more it restricts the current flow. Ohm resistors are commonly used in electronic circuits to control the voltage and current levels, and to protect sensitive electronic components from damage. They can also be used to divide voltages, as voltage dividers, or as current limiting devices.

To learn more about Ohm resistor visit here:

brainly.com/question/1495664

#SPJ4

Complete Question: -

Calculate i_x and v_o in the circuit of Fig. 5.70. Find the power dissipated by the 60-k Ohm resistor.

Can someone check my answers? If I’m incorrect can you correct me? Thank you. Image below.

Answers

Refer to the attached image.

Overall: Parts (a) and (c) need to be corrected.

The compressions in a sound wave are far apart and more energy is supplied by the vibrating source. Which statement best describes how this will affect the wave and what you hear?

A: The wavelength will increase, and the sound will become louder.
B: The amplitude will increase, and the sound will become louder.
C: The frequency will increase, and the pitch will become higher.
D: The intensity will increase, and the pitch will become higher.

Answers

The sound will get louder and the amplitude will rise. The separation between compressions in a sound wave indicates that the wave's wavelength has grown.

What happens when a sound wave is compressed and rarefied?

When particles travel in close proximity to one another, compression occurs, creating areas of intense pressure. In contrast, when particles are separated from one another in low-pressure locations, rarefactions take place. As the tines of a vibrating tuning fork move back and forth, compressions and rarefactions are produced.

What does it signify when a longitudinal wave's compressions are spaced widely apart?

Compressions and rarefactions are terms used to describe where a medium's particle distribution spreads out farther from one another.

To know more about amplitude visit:-

https://brainly.com/question/13110234

#SPJ1

imagine that the blue light and orange light from the source were blocked. what color would how be present in the spectrum of light observed

Answers

Everything but blue & orange would now be present in the spectrum of light observed.

Spectrum refers to a range of different wavelengths of electromagnetic radiation. Electromagnetic radiation is a form of energy that travels through space and includes different types such as radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. Each type of electromagnetic radiation has a different wavelength and frequency, and together they make up the electromagnetic spectrum.

The concept of spectrum is used in a variety of fields, including physics, astronomy, and telecommunications. The spectrum of electromagnetic radiation is essential for many technologies, such as radios and televisions, cell phones, and medical imaging devices, as they all rely on the transmission and reception of specific wavelengths of electromagnetic radiation.

To learn more about Spectrum visit here:

brainly.com/question/11837978

#SPJ4

Complete Question: -

Imagine that the blue light and orange light from the source were blocked. What color(s) would now be present in the spectrum of light observed?

3. Large amplitude vibrations produced when the of receiver of the applied forced vibration matches the

Answers

An object's amplitude dramatically increases when the frequency of the applied forced vibrations matches the object's natural frequency. Resonance describes this behavior.

Theory A wave's amplitude directly relates to the quantity of energy it can carry. A wave with a high amplitude carries a lot of energy, whereas one with a low amplitude carries only a little. A wave's strength is determined by the typical energy that moves through a given area in a certain amount of time and in a particular direction.The sound wave's amplitude grows in proportion to its strength. We perceive louder noises to be of higher intensity. Comparative sound intensities are frequently expressed using decibels (dB)

For more information on amplitude of vibration kindly visit to

https://brainly.com/question/1380029

#SPJ1


How would you ensure that the food you have prepared remains hot till you reach to hospital?​

Answers

Employ heat packs to keep food warm during delivery. To keep the food as warm as possible and the heat packs well-insulated, place them directly in the bag with the food containers.

Two blocks of unequal mass are tied together with a massless string that does not stretch and connected via a frictionless and massless pulley. Mass one, M1, rests on a frictionless table top. Mass two, M2, is released and both blocks begin to move....
The blocks accelerate at the same rate since they are connected. What is the acceleration?

Answers

The blocks accelerate at the same charge for the reason that they're linked. The acceleration is a value between zero and g.

Acceleration is a physical concept that refers to the rate of change of an object's velocity with respect to time. When an object's velocity changes, either by speeding up or slowing down, it is said to be accelerating.

Acceleration plays an important role in many aspects of physics, from the motion of celestial bodies to the behavior of particles in a particle accelerator.  The magnitude of acceleration is the rate at which an object's velocity changes, and it is measured in units of meters per second squared (m/s^2) in the International System of Units (SI). There are several factors that can cause an object to accelerate, such as a force acting on it, a change in its direction of motion, or a combination of both.

To learn more about Acceleration visit here:

brainly.com/question/30660316

#SPJ4

according to j. richard hackman and gerg oldham, which of the following is a factor necessary for job enrichment to be effective?

Answers

Job enrichment is a strategy used to motivate workers by adding the responsibility and diversity of their work. variant d

Feedback is essential to effective plant enrichment. Successful job enrichment depends on numerous effects, including acceptable backing and operation support, and clear performance norms.

Job Enrichment is a system of hand engagement in which jobs are designed to have intriguing and grueling tasks that may bear further chops and may increase pay.

The purpose of job enrichment is to compound the tasks performed by each hand, allow them to perform tasks in different ways, and eventually give them more control over the work they perform.

One of the most important motorists of change in professional enrichment programs is feedback. This not only needs to be done at the hand- director position, but also needs to be encouraged within the brigades.

Question

According to J. Richard Hackman and Gerg Oldham, which of the following is necessary for job enrichment to be effective?

a) Hygiene

b) Dissatisfied

c) Valencia

d) feedback

To know more about Job enrichment,

brainly.com/question/12288524

#SPJ4

Suppose a NASCAR race car rounds one end of the Martinsville Speedway. This end of the track is a turn with a radius of approximately 57.0 m . If the track is completely flat and the race car is traveling at a constant 27.5 m/s (about 62 mph ) around the turn, what is the race car's centripetal (radial) acceleration? What is the Coefficient of friction?

Answers

Answer:

Explanation:

The centripetal acceleration of the race car is given by the formula:

a = v^2 / r

where v is the speed of the race car and r is the radius of the turn.

Substituting the given values, we get:

a = (27.5 m/s)^2 / 57.0 m = 13.3 m/s^2

So the centripetal acceleration of the race car is 13.3 m/s^2.

To find the coefficient of friction, we need to use the formula:

f = μN

where f is the force of friction, μ is the coefficient of friction, and N is the normal force.

The normal force is equal to the weight of the car, which we can calculate as:

N = mg

where m is the mass of the car and g is the acceleration due to gravity (9.81 m/s^2).

Assuming the mass of the car is 1500 kg, we get:

N = 1500 kg × 9.81 m/s^2 = 14,715 N

The force of friction is equal to the centripetal force required to keep the car moving in a circle:

f = ma = (1500 kg)(13.3 m/s^2) = 19,950 N

Substituting the values of N and f into the formula for friction, we get:

19,950 N = μ(14,715 N)

Solving for μ, we get:

μ = 1.35

So the coefficient of friction is 1.35.

a banked curve is safer than a flat curve because the ___ force required to keep the car from skidding is supplied by the horizontal component of the ___ force instead of friction.

Answers

Answer:

centripetal, normal

In which of the following cases is the largest force exerted on an object by electromagnetic radiation? a) The radiation is absorbed by the object. b) Nearly all of the radiation is transmitted through the object because it is transparent. C) The radiation strikes the surface at a large angle with respect to the normal to the surface. (d) The radiation is reflected back along its incident path e) In all of the above cases the force will be the same since it is the same light striking the object.

Answers

The largest force exerted on an object by electromagnetic radiation is       d) The radiation is reflected back along its incident path.

What is electromagnetic radiation?

The electromagnetic (EM) field's waves, which travel across space carrying momentum and electromagnetic radiant energy, make up electromagnetic radiation (EMR).  It consists of X-rays, gamma rays, microwaves, infrared, visible light, ultraviolet, and radio waves. These waves are all a component of the electromagnetic spectrum. 

Electromagnetic waves, which are synchronised oscillations of the electric and magnetic fields, are the traditional form of electromagnetic radiation. The electromagnetic spectrum is created at various wavelengths depending on the oscillation frequency. Electromagnetic waves move at the speed of light, in a vacuum. The oscillations of the two fields create a transverse wave in homogeneous, isotropic media when they are perpendicular to each other, perpendicular to the direction of energy and wave propagation, and perpendicular to each other.

What is electromagnetic spectrum?

The range of electromagnetic radiation's frequencies, along with their corresponding wavelengths and photon energies, is known as the electromagnetic spectrum.

The electromagnetic spectrum includes electromagnetic waves with frequencies between one hertz and above 10²⁵ hertz, or wavelengths between thousands of kilometres and a small portion of the size of an atomic nucleus. The electromagnetic waves that are contained within each of these bands have different names; starting at the low-frequency (long wavelength) end of the spectrum, these are radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. This frequency range is divided into separate bands.

To know more about photon, visit:

https://brainly.com/question/20912241

#SPJ1

FILL IN THE BLANK 33. the road surface condition on which most motor vehicle crashes in florida occurred was on ___roads.

Answers

The road surface condition on which most motor vehicle crashes in Florida occurred was on WET ROADS.

The blank space should be filled with the word 'wet'.

A wet road is a road with water or other fluids on it, making it slippery, and it can cause vehicles to skid, slide, or hydroplane. Wet roads have been found to be the most common surface condition in most car accidents in Florida because of its weather condition.

Therefore, drivers should be extra careful while driving in the rain or during a storm to prevent such collisions. It's recommended to lower your driving speed, keep your car's headlights on, and avoid sharp turns or sudden braking when driving on wet roads.

for such more question on road surface

https://brainly.com/question/11211893

#SPJ11

lonie is being pulled from a snake pit with a rope that breaks if tension in it exceeds 755N. If one has a mass of 70kg and the snake pit is 3 Am deep, what is the minimum time necessary to pull out lonie?

Answers

The minimum time required to pull out lonie from the snake pit is √(3/4) seconds.

Given: Mass, m = 70 kg Distance, d = 3 m Limiting tension, T = 755N

The minimum time required to pull out lonie from a snake pit, t

Given, mass, m = 70 kg Acceleration due to gravity, g = 9.8 m/s²Distance, d = 3 m

Let's assume the minimum time required to pull out lonie from a snake pit is t.

So, using the equation of motion,S = ut + 1/2 at²

Here, S = d = 3m (Distance),u = 0 m/s (Initial velocity),a = g = 9.8 m/s² (Acceleration) and t = time

Substituting the above values in the equation, we get3 = 0 + 1/2 × 9.8 × t² => t² = 3/4 => t = √(3/4) sec

Also, we know that the tension in the rope is given byT = mg + ma

Now, the rope will break when T exceeds 755 N.

So, substituting the values of m, g, and a in the above equation, we getT = mg + ma = 70 × 9.8 + 70 × a

Since the tension in the rope should be less than or equal to 755 N, we have70 × 9.8 + 70 × a ≤ 755 => a ≤ (755 - 70 × 9.8)/70=> a ≤ 3.29 m/s²

Therefore, the minimum time required to pull out lonie from the snake pit is √(3/4) seconds.

for such more question on minimum time

https://brainly.com/question/14517981

#SPJ11

clock a remains in place and clock b is carried around the earth ( 40,000 km). by how many seconds will is clock b slower if carried on

Answers

Clock a remains in place and clock b is carried around the earth (40,000 km). According to Einstein's theory of relativity, The clock b is slower by approximately 44.6 seconds.

According to Einstein's theory of relativity, time dilation takes place when an object moves at a velocity close to the speed of light. The closer the velocity is to the speed of light, the more time slows down. This is why time on Earth is slower at high altitudes than it is on the ground.

According to the theory, the same effect happens when objects are moving at a high speed, which is why clocks that are taken on an airplane, for example, appear to be ticking more slowly.

1. The following equation is used to determine the time dilation:

t = t0 / √(1 – v²/c²),

where t is the time elapsed, t0 is the time at rest, v is the velocity, and c is the speed of light. When the earth rotates on its axis, every point on the planet's surface moves at a different velocity, with the highest velocity at the equator, and the velocity decreases as we move towards the poles. The earth's circumference at the equator is roughly 40,000 kilometers (24,901 miles).
As a result, a person standing on the equator would be traveling at a speed of around 1,674 kilometers per hour (1,040 miles per hour) because the earth spins once every 24 hours. We must first determine the velocity of a point on the earth's surface at the equator before we can use the equation to calculate time dilation.

2. We use the formula

v = 2πr / T,

where v is velocity, r is the radius of the earth, and T is the time it takes the earth to complete one rotation. The formula is as follows:

v = 2πr / Tv

= 2 x 3.14 x 6,378 km / 24 hv

= 1,674 km/h

3. Substituting these values into the equation, we get:

t = t0 / √(1 – v²/c²)t = t0 / √(1 – (1,674 m/s)² / (299,792,458 m/s)²)t = t0 / √(1 – 2.8 x 10^-8)t = t0 / 0.9999999714

This means that the clock on the equator will tick slightly slower than it would at rest. The difference in time can be calculated by subtracting the two values:

t – t0 = t0 / 0.9999999714 – t0t – t0 = t0 (1 – 0.9999999714)t – t0 = 0.0000000286 t0

4. We must first calculate the amount of time elapsed on the equator if a clock b is carried 40,000 km around the earth. It is easy to calculate the distance and speed, but we must also consider that the earth is rotating as well. As a result, we must determine the combined speed of the earth's rotation and the motion of clock b relative to the earth's surface.

5. To calculate this combined velocity, we can use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. If we imagine the velocity of the earth's rotation as the base of the triangle and the velocity of clock b as the height of the triangle, we can use this theorem to calculate the combined velocity as follows:

combined velocity = √(1,674² + vclock²)

where v clock is the velocity of clock b. Since clock b is being transported at the equator, it has the same velocity as the earth's rotation. As a result, we can substitute 1,674 km/h for v clock:

combined velocity = √(1,674² + 1,674²)

combined velocity = √(2 x 1,674²)

combined velocity = 2,367 km/h

6. Substituting the combined velocity into the equation for time dilation, we obtain:

t – t0 = t0 (1 – √(1 – v²/c²))t – t0 = t0 (1 – √(1 – (2,367 km/h)² / (299,792,458 m/s)²))t – t0

= t0 (1 – √(1 – 1.579 x 10^-11))t – t0

= t0 (1 – 0.999999999920215)t – t0

= 0.000000000079785 t0

Converting this value to seconds, we get:

0.000000000079785 t0 = 79.785 ns

Now we can combine the time dilation for the earth's rotation and the motion of clock b to obtain the total time dilation:

t – t0 = 0.0000000286 t0 + 0.000000000079785 t0t – t0 = 0.000000028679785 t0

Substituting the value of t0 (one second) into the equation, we get:

t – 1 = 0.000000028679785 seconds

Therefore, clock b will be approximately 44.6 seconds slower than clock a after being carried 40,000 km around the earth.

For more such questions on Einstein's theory of relativity , Visit:

https://brainly.com/question/3489672

#SPJ11

A 120-kN truck has an engine that transmits a power of 380 kW to all the wheels. If the wheels do not slip on the ground, determine the angle of the largest incline the truck can climb at a constant speed of 72 km/h.

Answers

To determine the angle of the largest incline the truck can climb at a constant speed of 72 km/h, we need to use the formula for power, which is P = Fv, where P is the power, F is the force, and v is the velocity.

What is the equation for the maximum incline angle as ?

Since the velocity is constant, the force required to maintain this speed up an incline is equal to the force of gravity acting on the truck, which is given by Fg = mg, where m is the mass of the truck and g is the acceleration due to gravity.

Thus, we can write the equation for the maximum incline angle as:

sinθ = Fg/F

where θ is the angle of the incline. Substituting the given values, we get:

sinθ = (mg)/Pv

sinθ = (120000 kg)(9.81 m/s²)

sinθ =( 0.157)/(380000 W)(20 m/s)

θ = 9.04 degrees

Therefore, the angle of the largest incline the truck can climb at a constant speed of 72 km/h is approximately 9.04 degrees.

To know more about constant speed , visit :

https://brainly.com/question/24909693

#SPJ1

The maximum angle of incline the truck can climb at a constant speed of 72 km/h without slipping is approximately 18.3 degrees.

calculation of the question :-

First, we need to calculate the force required to maintain a constant speed of 72 km/h on an incline. We can use the following formula:

Force = weight * sin(theta) + rolling resistance + air resistance

where weight is the weight of the truck, theta is the angle of the incline, rolling resistance is the force required to overcome the friction between the wheels and the ground, and air resistance is the force required to overcome air resistance.

Since the wheels do not slip on the ground, the rolling resistance is equal to the weight of the truck multiplied by the coefficient of rolling resistance, which is typically around 0.01. Air resistance is typically negligible at lower speeds, so we can ignore it in this case.

Let's assume the weight of the truck is 120 kN and the coefficient of rolling resistance is 0.01. We can now calculate the force required to maintain a constant speed of 72 km/h on an incline:

Force = 120 kN * sin(theta) + 0.01 * 120 kN

Next, we need to determine the power required to produce this force. We can use the following formula:

Power = force * speed

where speed is the speed of the truck in meters per second. Since the speed of the truck is 72 km/h, or 20 m/s, we can calculate the power required:

Power = (120 kN * sin(theta) + 0.01 * 120 kN) * 20 m/s

Now we can use the given engine power of 380 kW to determine the maximum angle of incline:

380 kW = (120 kN * sin(theta) + 0.01 * 120 kN) * 20 m/s

Simplifying this equation, we get:

sin(theta) = (380 kW / (120 kN * 20 m/s)) - 0.01

sin(theta) = 0.3167

Taking the inverse sine of both sides, we get:

theta = sin^-1(0.3167) = 18.3 degrees

Therefore, the maximum angle of incline the truck can climb at a constant speed of 72 km/h without slipping is approximately 18.3 degrees.

To know more about Speed visit :-

https://brainly.com/question/13943409

#SPJ1

A beam consisting of five types of ions labeled A, B, C, D, and E enters a region that contains a uniform magnetic field as shown in the figure below. The field is perpendicular to the plane of the paper, but its precise direction is not given. All ions in the beam travel with the same speed. The table below gives the masses and charges of the ions. Note: 1 mass unit = 1.67 x 10â€"27 kg and e = 1.6 x 10â€"19 C
Which ion falls at position 2?

Answers

At position 2, ion B falls. It is less deflected because it has a lesser mass than ions C, D, and E and the same charge as ion A.

A force perpendicular to the charged particle's velocity and the magnetic field's direction is applied when it reaches the magnetic field. The right-hand rule asserts that the palm will face the direction of the force if the thumb of the right hand points in the direction of the particle's velocity and the fingers point in the direction of the magnetic field. The particle's charge, velocity, and magnetic field intensity all affect how much force is generated.

Since all ions are moving at the same speed in this scenario, the force exerted on each ion is proportional to its charge to mass ratio. Ion B has the smallest mass of all the ions, so the least force and is least deflected of the ions, falling at position 2.

learn more about mass here:

https://brainly.com/question/19694949

#SPJ4

if ao is 50 feet, find the perimeter of the pool. (o is the center of the sector aob. oa and ob are the diameters of two semi-circles.)

Answers

The perimeter of the pool is approximately 206.85 feet if we use 3.14 as the approximation of the value of π.

In this case, the angle AOB is 360 degrees, so the arc length is:

arc length = (360/360) x 2π(25) = 50π feet

Finally, we can find the perimeter of the pool by adding up the lengths of the two semicircles and the arc AB:

perimeter = 2πr + 2r + arc length

perimeter = 2π(25) + 2(25) + 50π

perimeter = 50π + 50

Perimeter is a measurement of the distance around the edge of a two-dimensional shape, such as a square, rectangle, or circle. It is the sum of the lengths of all the sides that make up the shape. The perimeter is an important concept in geometry and is used to determine the amount of material needed to enclose or surround a shape, as well as to calculate the distance around a given route or path.

To find the perimeter of a shape, you simply add up the lengths of its sides. For example, if you have a square with sides that are each 5 units long, the perimeter would be 5 + 5 + 5 + 5 = 20 units. Similarly, if you have a circle with a radius of 10 units, the perimeter (also known as the circumference) would be 2πr or approximately 62.8 units.

To learn more about Perimeter visit here:

brainly.com/question/30252651

#SPJ4

Complete Question: -

If AO is 50 feet, find the perimeter of the pool. (O is the center of the sector AOB. OA and OB are the diameters of two semi-circles.)

1.- What is net net charge on the sweater? Why?
2.- What is the net charge on the balloon? Why?

ASAP pls and thank you!!

Answers

When students brush balloons against their wool sweaters or hair, electrons are moved from the wool or hair to the balloon. As a result, the balloon has a net negative charge, whereas the garment or hair, having shed negative charges, has a net positive charge.

What is net charge?

The term "net" refers to the sum after both positive and negative costs have been deducted. So, if something has 321 positive charges and 319 negative charges, the overall charge is 321 - 319 = +2. The overall charge is 37 - 42 = -5 if it includes 37 positive charges and 42 negative charges.

Electrons are negatively charged, whereas protons are favourably charged. Atoms have an identical amount of electrons and protons and have a net charge of zero. This makes atoms always neutral.

Learn more about net charge

https://brainly.com/question/30196320

#SPJ1

Other Questions
what part of the eye changes shape to adjust the size of the pupil? Calculate the mass in kg of a ball at a height of 3m above the ground with a potential energy of 120J. Which quotes characterize the climate,or long-term pattern of weather, nearDorothy's home? When the following two solutions are mixed:K2CO3(aq)+Fe(NO3)3(aq)the mixture contains the ions listed below. Sort these species into spectator ions and ions that react.Drag the appropriate items to their respective bins.NO3-)aq), Fe3+ , CO3 2-, K+Part BWhat is the correct net ionic equation, including all coefficients, charges, and phases, for the following set of reactants? Assume that the contribution of protons from H2SO4 is near 100 %.Ba(OH)2(aq)+H2SO4(aq)? what needs to be improved about the human activity system? critics of the world trade organization . charge that it gives too much money to environmental causes complain that it frequently worsens environmental problems discriminates against developing nations say that the international taxes that it regulates are burdensome to smaller countries charge that the wto's subsidy policies unfairly target poor people which statemnt is ture when the dimensions of a two-dimensional figures are dilated by a scale factor of 2 Two pieces of clay, one white and one gray, are thrown through the air. Themwhite clay has a momentum of 25 kg, and the gray clay has aSmomentum of -30 kg immediately before they collide.What is the magnitude and direction of their final momentum immediatelyafter the collision?Your answer should have one significant figure.hkg.m-mSS Using C2H4 + 3 O2 -> 2 CO2 + 2 H2O.What is the limiting reactant for this equation based on the previous question? Read the following sentences from the passage.I guess that's one of the benefits of having to go first, she thought. Everyone is so worried about speaking in front of the class that no one is really listening.What does this quote from the passage mean? A. Ms. Richardson is making all of Hope's classmates sit up straight and listen. B. Hope's classmates are afraid they will be called on to go first in her place. C. All of the students in Hope's class are equally afraid of giving their book reports. D. All of the students in Hope's class are listening because they love the book, too. policy is a contract between an individual and a company under which the company agrees to reimburse the individual for losses suffered by him or her according to specified terms.a. Underwritingb. Riskc. Insuranced. Debte. Reimbursement There is some evidence that pharyngeal gill slits occur in certain species of echinoderms that appear early in the fossil record. If confirmed, what do these data suggest? HELP complete the conversation with the forms of ser and estar_______ muy inteligente y quirere _____ dentistaY donde _____ su familia?Sus padres _____ aqui con el.Su hermana esta aqui con el y sus dos hermanos todavia _____ en su paisGilberto _____ en mi class de historia A que hora _____ tu clashVoy a ______ alli manana a esa hora______ las doce y media. Tengo Prisa y ______ muy nerviosa porque tengo un examen Assessing the entrepreneurial competencies of ABM students and their potential for starting a successful small business in Philippines.Send help badly need for RRLs(Review Related of Literature) Which of the following represents vector vector t equals vector PQ in trigonometric form, where P (13, 11) and Q (18, 2)? t = 10.296 sin 60.945i + 10.296 cos 60.945j t = 10.296 sin 240.945i + 10.296 cos 240.945j t = 10.296 cos 60.945i + 10.296 sin 60.945j t = 10.296 cos 240.945i + 10.296 sin 240.945j According to Storms' model of sexual orientation, identify a true statement about bisexual individuals.a.Their sexual orientation is a continuum from exclusively heterosexual to exclusively homosexual.b.They are high on both homoeroticism and heteroeroticism dimensions.c.Their sexual behavior pattern changes across a lifetime.d.They are heterosexual individuals trying to be homosexual. ethical egoism says to select the act that improves your own well-being. group of answer choices true false Can you use the syntax where [column name] (select * from [table name 2]) syntax when you want to compare a value of a column against the results of a subquery? It is likely that participants in Stanley Milgram obedience experiments conducted in the 1960's were willing to administer increasingly severe shocks to a confederate learner because, when confronted with a confusing, unfamiliar and upsetting situation, they would turn to the experimenter for cues as to how to proceed. This speculation in essence identifies _____ asa source of participants' shockingly cruel Obedience. - Information social influence - Sociopathology - Latent sadism - Psychopathology - Normative social influence - Social norms 3. When x = 6, which number is closest to the value of y on the line of best fit in the graph below?0901071009876543221X0 1 2 3 4 5 6 7 8 9 10