Which is the correct equation for calculating the kinetic energy of an object?

Answers

Answer 1

Answer:

Below

Explanation:

K.E. = 1/2 * m * v^2


Related Questions

if you weight 100 pounds on earth,
what would you weight on the moon

Answers

Answer: 16 Pounds.

To figure out how much YOU would weigh on the moon, take your weight and divide it by 6. So, if you weighed 100 pounds on Earth, you would weigh only about 16 pounds on the moon.

A soccer player runs at 10 m/s and runs into a 80 kg referee standing on the field causing the referee to fly forward at 6.0 m/s. Assume the soccer player comes to complete stop after impact. What would be the mass of the soccer player be?

Answers

The mass of soccer player will be 120kg.  Writing down 1/2 m1 will help us remember that KE = 1/2 mv2 (v1i) 2 + 1/2 m2(vi) (vi) 2 = 1/2 m1(v1f) (v1f) 2 + 1/2 m2 (v2f) (v2f) 2.

How to solve ?

According to Newton's third law,

Given that a soccer player runs at 10m/s and plows into a 80kg referee standing on the field causing the referee to fly forward at 56m/s. Let

mass of the player = ?

initial velocity of the player = 10m/s

Final velocity of the player

mass of the referee = 80 kg

Initial velocity of the referee = 0 ( since he is at rest )

Final velocity of the referee = 6 m/s

Since it is a perfectly elastic collision,

U1 =V2 - V1 ........ (1)

M1U1 = M2V2 + M1V1........ (2)

Substitute all the necessary parameters into the equation (1)

10 = 6 - V1

V1 = 10 - 6

V1 = 4 m/s

Now, Substitute all the necessary parameters into the equation (2)

10M1 = (80 x 6) + (4M1)

10 M1- 4 M1 = 480

4M1 = 480

M1 = 480/4

M1 = 120kg

Therefore, the mass of soccer player will be 120kg

Collision formula: What is it?

When kinetic energy (KE) and momentum (p) are conserved during a collision, the collision is said to be elastic. To put it another way, it denotes that KE0 = KEf and po = pf. Writing down 1/2 m1 will help us remember that KE = 1/2 mv2 (v1i) 2 + 1/2 m2(vi) (vi) 2 = 1/2 m1(v1f) (v1f) 2 + 1/2 m2 (v2f) (v2f) 2.

How is velocity determined?

By dividing the entire distance traveled by the time it took the object to go a certain distance, you may calculate the object's initial velocity. V, d, and t are the three variables that make up the equation V = d/t.

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compare and contrast what it looks like to fall into a black hole from the perspective of the person falling into it vs. the perspective of someone watching it from a safe distance.

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From the perspective of a person falling into the black hole, it would look like a high gravity object pulling us and from the perspective of person at a safe distance, it will appear a black dot.

From the perspective of a person falling into the black hole, the universe is compressed into a dot, the color changes, the stars orbit at a rate ten times faster than before, and you see a flash of visible light or invisible microwave radiation before your particles are stretched to the point where they are crushed by the extreme gravity of the black hole. This will probably happen in a matter of seconds.

It will appear to be little more than a dot to someone standing back and viewing from a safe distance.

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All the following statements are true. Which one makes it possible to learn of the existence of extrasolar planets without seeing the planets themselves?Planets exert gravitational tugs on their stars that cause stars to orbit around the center of mass of their planetary systems.

Answers

Planets exert gravitational tugs on their stars that cause stars to orbit around the center of mass of their planetary systems. is true

What does the term "extrasolar planet" mean?Extrasolar planets, often known as exoplanets, are any planetary bodies outside of the solar system that typically circle stars other than the Sun.A planet beyond the Solar System is referred to as an exoplanet or extrasolar planet. In 1917, the first potential sign of an exoplanet was observed, but it was not taken seriously. In 1992, the first detection confirmation took place. 1988 saw the discovery of a different planet, which was verified in 2003. Telescopes have photographed a small number of exoplanets directly, but the great majority have been discovered via indirect techniques like the transit method and the radial-velocity approach. There are 5,284 confirmed exoplanets in 3,899 planetary systems as of December 1, 2022.

The complete questio is Which one makes it possible to learn of the existence of extrasolar planets without seeing the planets themselves?

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In the figure, determine the character of the collision. The masses of the blocks, and the velocities before and after are given. The collision is (Show your work-no work shown = ZERO POINTS) 1.8 m/s 0.2 m/s 0.6 m/s 1.4 m/s 4 kg 6 kg 4 kg 6 kg Before After A) perfectly elastic. B) partially inelastic. C) completely inelastic. D) characterized by an increase in kinetic energy E) not possible because momentum is not conserved.

Answers

When two bodies come into close touch with one another, a collision occurs. In this instance, the two bodies quickly exert forces on one another. The collision changes the energy and momentum of the bodies that are interacting.

Briefing

the system's initial kinetic energy, KEi, is equal to 0.5 * 4 * 1.8 2 plus 0.5 * 6 * 0.2 2 J.

KEi = 6.6 J

The system's ultimate kinetic energy, KEf

, following the collision is equal to 0.5 * 4 * 0.6 + 0.5 * 6 * 1.4 J.

KEf = 6.6 J

since KEi = KEf

Perfectly elastic is the collision

the appropriate response is A) completely elastic.

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when a man loves a magnetic continually changes magnitude and direction a voltage is continually being induced in the coil this voltage is called voltage

Answers

When a magnetic field continually changes magnitude and direction, a voltage is continually induced in the coil. This voltage is called induced voltage.

Induced voltage is the type of voltage that is a product of electromagnetic induction. It is generally defined as the rate of change of magnetic flux with respect to time via a closed circuit.

A wire that is carrying a current will experience an induced voltage along its length if the current changes. The changes in current change the magnetic field flux perpendicular to the wire.

Induced voltage is calculated using the Faradays equation:

e = N(dΦ/dt)

e = induced voltage (volts).N = number of turns in the wire coil.Φ = magnetic flux (webers).t = time (seconds)

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g calculate the mass-to-light ratio for a globular cluster with a luminosity of 106 lsun and 105 stars. (assume that the average mass of a star in such a cluster is 1 msun.)

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The mass-to-light ratio for a globular cluster is equal to 137.7 kg/lsun

To measure the mass-to-light ratio of a globular cluster, we first determine the total mass of the cluster. Since the cluster has 105 stars, and the average mass of a star in the cluster is 1 m-sun, therefore, the total mass of the cluster is 10^5 * 1 msun = 10^5 msun.

Now, we convert the luminosity of the cluster from solar units to kilograms. The luminosity of the cluster is given as 10^6 lsun, which is equal to 10^6 * 3.828 x 10^26 W.

Using the equation, [tex]E = mc^2[/tex], we can convert this energy to mass:

[tex]mass = (luminosity * time) / (c^2)[/tex]

where, c is the speed of light (3 x 10^8 m/s) and time is the amount of time over which the luminosity is measured (here, time is equal to 1 second).

Substituting the values in above equation, we find that the mass of the cluster in kilograms is approximately 1.45 x 10^31 kg.

To determine the mass-to-light ratio, divide the total mass of the cluster (in kilograms) by its luminosity (in solar units):

mass-to-light ratio = (total mass of cluster in kg) / (luminosity in solar units)

Substituting the values in above equation, we find that the mass-to-light ratio for this globular cluster is approximately:

1.45 x 10^31 kg / 10^6 lsun = 137.7 kg/lsun.

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Emily and Henry were in the lab and graphed the heating of ice to 125°C. Emily and Brad made an observation that the graph contains three sloped and two level portions. Emily and Brad determined that the two level portions in the graph represented:

Answers

The two level portions in the graph represented phase changes.

What are phase changes?

The transition of matter from one state (solid, liquid, gas, or plasma) to another is referred to as a phase change.  These changes also take place when the pressure on the system varies, as well as when the system receives enough energy or loses enough energy.

The slope of the line dividing two phases is determined by the relative densities of the two phases. The solid-liquid line, for instance, slopes up and to the right if the liquid is less dense than the solid, whereas up and to the left if the liquid is denser than the solid.

Therefore the two level portions in the graph represented phase changes.

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Interpret Would a hurricane be more likely
to remain a hurricane if it reached point A or
point B? Explain your answer.

Answers

Interpret If a hurricane got to point B, would it be more likely to stay a hurricane. because warm ocean water is what creates hurricanes. The hurricane will likely continue to be a hurricane if it travels to point b because it will still be on the ocean.

What does a hurricane means?

A tropical storm is considered a hurricane if its sustained winds are 74 mph or higher. The eye of a storm can extend 400 miles and is normally 20 to 30 miles wide. Storms can be hazardous due to their intense rainfall, powerful gusts, and storm surges. A spiral arrangement of thunderstorms that produce torrential rain and squalls, a low-pressure center, and powerful winds are the characteristics of a tropical cyclone, a fast revolving storm system.

What kills a hurricane and why do hurricanes happen?

In a 2014 study, Dr. Edward Rappaport, the National Hurricane Center's deputy director, found that water is the No. 1 killer during a hurricane or tropical storm that strikes the U.S., accounting for nearly 90% of all tropical cyclone deaths. Most people drown in storm surge, rainfall flooding, or high surf.

Warm ocean water and humid, moist air are required for one to form. Water is released from the air, forming the storm clouds, while humid air is flowing upward at a zone of low pressure over warm ocean water. The air within a storm rotates as it climbs.

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Using the graph provided, determine the velocity in meters per second of the object at t = 6 seconds. Do not include units in your answer.

Answers

Answer:

Below

Expetion:

The SLOPE of the tim-position graph is the velocity at a given time....

   Slope = rise / run    

 From graph at  t =     6 sec =   (4 -8) / (7-5) = -2  m/s

From the graph, the position of the object at 6 seconds is 8.33 m. Then the velocity taken to cover this distance is 1.38 m/s.

What is velocity?

Velocity is a physical quantity used to express distance covered by object per unit time. Velocity is a vector quantity thus, having both magnitude and direction.

Velocity is the rate of speed and mathematically it is the ratio of distance to the time. As more distance covered within less time, the velocity is higher.

From the graph, after a time of 6 seconds, the position of the object is 8.33 m. Then, the velocity of the object is:

velocity = distance/ time

             = 8.33 m / 6 s

             = 1.38 m/s.

Therefore, the velocity of the object at 6 s is 1.38 m/s.

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A large water tank with cross sectional area A and height of h is filled to the top with water (density= rho). There is a hole of cross sectional area a located at the bottom of the tank. The velocity of the water exiting the small hole is

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A large water tank with cross sectional area A and height of h is filled to the top with water (density= rho). There is a hole of cross sectional area a located at the bottom of the tank. The velocity of the water exiting the small hole will raise to a height and then stop.

what is density?The mass of a substance per unit volume is used to define its density.Mass/Volume is the formula for density.Unit of Density = Unit of Mass/Unit of VolumeSI unit of density equals kg/m3 CGS unit of density equals g/ml (1 cm3 = ml).However, we typically employ g/cm3.A substance's distinctive quality is its density.How tightly a substance's molecules are packed into a specific volume is determined by its density.The amount of mass in a given space is measured as density. It is a means to gauge how small an object is.It is the quantity of molecules present in a space or the mass of matter per unit volume.

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an astronaut drops a rock from the top of a crater on the moon when the rock is halfwat down to the bottom of the crater its speed is what fraction of its cinal impact speed?A. 1/4–√2B.1/4C. 1/2–√2D. 1/–√2Answer:

Answers

The fraction of its final impact speed is 1/√2.

Impact speed is the speed of the vehicle at the time of impact or collision.

The rock has lost half of its gravitational potential energy, its kinetic energy at the halfway point is half of its kinetic energy at impact.

As we know kinetic energy is directly proportional to mass (m) and velocity square (v²),

KE ∝ v²

KE = (1/2)mv²

then K.E at halfway point is equal to 1/2 x K.E,

Then,

The K.E at impact, then the rock’s speed at the halfway point its speed at impact will be 1/√2 its impact speed.

Therefore option D is the correct answer, the fraction of its final impact speed is 1/√2.

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A 17,973 g object has an acceleration of 2m/s². What is the net force applied to the
object

Answers

Answer:

According to Newton's second law of motion, the acceleration of an object equals the net force acting on it divided by its mass, or a = F m .

Explanation:

What is the Force of Gravity acting on the object in the diagram?

Answers

The force of gravity acting on the 23 Kg object in the diagram is 225.4 N

How do I determine the force of gravity?

The force of gravity is defined as follow:

Force of gravity (F) = mass (m) × acceleration due to gravity (g)

Using the above formula, we can easily obtain the force gravity acting on the 23 Kg object. This is shown below:

Mass (m) = 23 KilogramsAcceleration due to gravity (g) = 9.8 m/s²Force of gravity (F) =?

Force of gravity (F) = mass (m) × acceleration due to gravity (g)

Force of gravity = 23 Kg × 9.8 m/s²

Force of gravity = 225.4 N

Thus, from the calculation made above, we can conclude that the gravitaional force is 225.4 N

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show that the probability density for the ground state solution of the one dimensional coulomb potential energy in the schrodinger equation has its maximum at x=a0

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Through Schrodinger equation probability, we can prove that the probability density for the ground state solution of the one dimensional coulomb potential energy in the Schrodinger equation has its maximum at x=a₀.

Given wave function is Ψ(1s) = 1/√π{1/a₀}^(3/2) e ^(x/a₀)

Probability refers to potential.  The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means.

The Schrödinger equation is a linear partial differential equation that describes the wave function or state function of a quantum-mechanical system.

To find the most probable distance, differentiate the equation |Ψ(1s)|²x² with respect to x and equating to zero, we get

d / dr | 1/√π e(1/a₀)^3 / 2e^(-x/a₀) |² x² = 0

1 / π(1 / a₀)³ d / dr (e^-2x / e₀) (x²) = 0

[2e^(-2Zx / a₀) x + e^(-2Zx / a₀) {-2 / a₀} x²] = 0

2 + (-2 / a₀) x = 0

This gives x = a₀

Therefore, through Schrodinger equation probability, we can prove that the probability density for the ground state solution of the one dimensional coulomb potential energy in the Schrodinger equation has its maximum at x=a₀.

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what is the length of the y component shown below?

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The length of the y component shown is C. 2.0.

How to find the length ?

We are given the angle of the vector, and the length of one of the components of the vetor. Given the angle we have, the available component is the hypotenuse. The y component that we are to find, will then be the opposite or perpendicular component.

To solve for the length of the y - component therefore, the useful operation would be the Sin function.

The length of the y - component would be:
Sin 42 ° = Opposite / Hypotenuse

Sin 42 ° = y component / Hypotenuse

y - component = Sin 42 ° x Hypotenuse

y - component = Sin 42 ° x 3

y - component = 0. 6691 x 3

y - component = 2. 0

In conclusion, the y - component is 2.0.

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Full question is:

What is the length of the y-component of the vector shown below?

A. 2.2 B. 3 c. 2.0 D. 2.7

A mass m is suspended by a massless string forming a simple pendulum of length 2.0 m. The string of the pendulum is initially at an angle of 60° with the vertically downward direction when the mass is released from rest.

Answers

The centripetal acceleration of the mass m when it is at the lowest position is 10 m/s². The correct option is A.

What is centripetal acceleration?

Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any object moving in a circle with an acceleration vector pointing in the direction of the circle's center.

A projectile is an object that is launched into the air and then moves only in response to the acceleration of gravity. The trajectory of the object is referred to as the projectile's trajectory.

The equation of projectile motion is:

[tex]V = \sqrt{2gh}\\\\\\V = \sqrt{2 \times 10 \times \dfrac{1}{2} } \\\\V = \sqrt{20}[/tex]

a² = v² / l  = 20 / 2 = 10 m/s²

Therefore, the correct option is A, 10 m/s².

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The question is incomplete. Your most probably complete question is given below:

The centripetal acceleration of the mass m when it is at the lowest position is:

10 m/s²

5 m/s²

20 m/s²

25 m/s²

_______ drink(s) within a 4 hour time span, regardless of height and weight, can get you a BAC of .01% .
1

Answers

1 drink(s) within a 4-hour time span regardless of the height and weight can get you a BAC of .01%.

Even one drink of alcohol can impair your ability to drive. Having more than one drink in his bloodstream puts him in danger and could get him arrested. Failure to pay this will result in a fine of 10% of the service tax. No penalty if service tax and interest are paid within 30 days after the notice is served.

Usually, you can apply the one-drink-an-hour rule without hesitation. So if you have two glasses of wine, you have to wait two hours before going out. Drinking one cup for an hour will give your body time to overcome the other factors above and hopefully bring you to a safe enough alcohol level to drive.

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4. For an ideal gas, the specific heat at constant pressure Cp is greater than the specific heat at constant volume CV because the A. pressure of the gas remains constant when its temperature remains constant B. gas does work on its environment when its pressure remains constant while its temperature is in creased C. increase in the gas's internal energy is greater when the pressure remains constant than when t he volume remains constant D. heat input per degree increase in temperature is the same in processes for which either the pressure or the volume is kept constant

Answers

Whenever the gases are heated at a fixed volume, no outside work is done as well as the heat energy given is simply used to make the gas more energetic internally.

Why is CP for just an ideal gas higher than Cv?

The specific heat under constant pressure for an ideal gas, Cp, is higher than Cv.This is due to the fact that when the gas' temperature rises while the pressure stays constant, the gas must perform some finite work on its surroundings.

Does CP always exceed Cpk?

When the goal value and the specification's average are equal, Cpk equals Cp.Never can Cpk go above Cp.With the creation of descriptive statistic displays and histograms, Cp and Cpk can both be determined.

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explain how doping can increase the conductivity of a semiconductor. match the words in the left column to the appropriate blanks in the sentence on the right.

Answers

The left column to the appropriate blanks in the sentence on the right.: The conductivity of semiconductors is increased by adding an appropriate amount of suitable impurity or doping. Doping can be done with an impurity.

A semiconductor is a fabric, which has an electrical conductivity price falling between that of a conductor, including copper, and an insulator, inclusive of glass. Its resistivity falls as its temperature rises; metals behave in the opposite manner.

A semiconductor is a material, which has an electrical conductivity cost falling among that of a conductor, consisting of copper, and an insulator, such as glass. Its resistivity falls as its temperature rises; metals behave in the opposite manner.

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What quantity describes how long an object is moving for?

Answers

it is quantity of motio

A rocket designed for vertical takeoff has a mass of 5398kg. Find the net work done on the rocket as it accelerates upward at 2.0m/s through a distance of 30.0m starting from rest

Answers

The net work done on the rocket as it accelerate upward at 2 m/s is 10796 J.

What is work done?

Work done is the product of force and distance.

To calculate the net work done on the rocket, we use the formula below.

Formula:

W = mv²/2.......................Equation 1

Where:

W = Net work donem = Mass of the rocketv = Velocity of the rocket

From the question,

Given:

m = 5398 kgv = 2 m/s

Substitute these values into equation 1

W = (5398×2²)/2W = 10796 J

Hence, the net work done is 10796 J.

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The net work done on the rocket as it accelerates upward at 2.0 m/s through a distance of 30.0m starting from rest is 10796 J

How do I determine the net workdone?

First, we shall list out the given parameters. This is shown below:

Mass (m) = 5398 KgVelocity (v) = 2.0 m/sDistance (d) = 30.0 mNet work done (W) = ?

Considering the given parameters, we can obtain the net work done on the rocket as illustrated below:

W = ½mv²

Inputting the various varables we have:

W = ½ × 5398 × 2²

W = 2699 × 4

W = 10796 J

Thus, we can conclude that the net work done on the rocket is 10796 J

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Sorrow, hurt, anger, guilt, confusion, and other feelings that arise after suffering a loss are reflected in: a. grief. b. acceptance. c. mourning. d. distancing.

Answers

Correct answer:-  (a) grief

Sorrow, hurt, anger, guilt, confusion, and other feelings that arise after suffering a loss are reflected in grief.

What does grief mean?

Regardless of whether someone's sadness is caused by the loss of a loved one or by receiving a terminal illness, grief is a powerful, perhaps overwhelming feeling for people.

What is the duration of grief?

Grieving typically lasts for a year or longer. The individual in grieving must deal with the emotional and life changes brought on by the loss of a loved one. It's normal to feel emotionally attached to the deceased for a very long time after they have passed away, even though the anguish may eventually lessen.

How much time does grief last?

Grieving typically lasts for a year or longer. The individual in grieving must deal with the emotional and life changes brought on by the loss of a loved one. It's normal to feel emotionally attached to the deceased for a very long time after they have passed away, even though the anguish may eventually lessen.

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(a) A Carnot engine working in a forward direction (i.e. taking heat from a hot body and rejecting remaining heat after work to a cold body) is a heat engine. Therefore the engine to be used as a heat engine operates in a direction. as it is in contact with the heat reservoir during this segment; and, as its is in contact with cold sink.

Answers

A heat engine, symbolized by a circle in this illustration, uses some of the heat transfer to produce work.

The most effective heat engine that is theoretically possible—i.e., any machine that can transform thermal energy (heating) into mechanical energy—is the Carnot engine (work).The heat and cold reservoirs are the names given to the hot and cold items. Only the hot temperatures' absolute values affect efficiency. A portion of the heat QH that is extracted from the high-temperature source TH in the case of a heat engine is transformed into work. The ratio of net work completed to heat absorbed throughout one full cycle is known as a heat engine's thermal efficiency.

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Fig. 62.7 A C₁2V 50 V 5₁ 30 (a) Calculate the readings of the ammeter and the voltmeter when the switches are as shown with S closed and S₂ open. Explain your calculations.​

Answers

The reading on the ammeter will be 10 A.The reading on the voltmeter will be 50 V.

What is ammeter?

Generally, To solve this problem, we need to first analyze the circuit and determine the current and voltage at various points.

Starting at the left side of the circuit, we have a 50 V battery with its positive terminal connected to a resistor and its negative terminal connected to a switch. When the switch is closed, this allows current to flow from the battery through the resistor. The current will be given by Ohm's law:

I = V/R

Where I is the current, V is the voltage (50 V in this case), and R is the resistance of the resistor (5Ω in this case). Plugging in these values, we get:

I = 50 V / 5Ω = 10 A

Next, we need to determine the voltage across the resistor. This can be found using Ohm's law again:

V = IR

Where V is the voltage across the resistor, I is the current through the resistor (10 A in this case), and R is the resistance of the resistor (5Ω in this case). Plugging in these values, we get:

V = 10 A * 5Ω = 50 V

Since the voltage across the resistor is equal to the voltage of the battery, we know that the current through the resistor must be flowing in the same direction as the battery's current.

The ammeter in the circuit is connected in series with the resistor, so it will measure the current flowing through the resistor. Therefore, the reading on the ammeter will be 10 A.

The voltmeter is connected in parallel with the resistor, so it will measure the voltage across the resistor. Therefore, the reading on the voltmeter will be 50 V.

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A simple pendulum on Planet X oscillates at 3.1 Hz. If the acceleration due to gravity is 31.3 m/s^2 what is the length of the pendulum in cm?

Answers

The length of the pendulum is 8.258 cm .

Given,

Frequency f= 3.1 Hz

Acceleration due to gravity

We have to find out the length of pendulum

L=g / ( 4 x (π)^2 x (f)^2  )    --------------(1)

Where,

L  is length

g is acceleration due to gravity

f is frequency

Put the given value in equation (1) becomes

L= (31.3)m/s^2 / (4x (3.14)^2 x (3.1)^2)Hz

L= 31.3 / 379

L = (0.08258) m

L= (8.258)cm

The length of pendulum is

L= (8.258)cm.

The rate by which velocity changes concerning time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

The pace at which a body's velocity varies is represented by acceleration, which is a vector quantity.

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The length of the pendulum is 8.258 cm .

What is pendulum?

A weight suspended from a pivot such that it can freely swing is called a pendulum. Gravity's restoring force will cause a pendulum to accelerate back toward its equilibrium position if it is sideways moved from its resting, equilibrium position.

Given,

Frequency f= 3.1 Hz

Acceleration due to gravity

We have to find out the length of pendulum

L=g / ( 4 x (π)^2 x (f)^2  )    --------------(1)

Where,

L  is length

g is acceleration due to gravity

f is frequency

Put the given value in equation (1) becomes

L= (31.3)m/s^2 / (4x (3.14)^2 x (3.1)^2)Hz

L= 31.3 / 379

L = (0.08258) m

L= (8.258)cm

The length of pendulum is

L= (8.258)cm.

The rate by which velocity changes concerning time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

The pace at which a body's velocity varies is represented by acceleration, which is a vector quantity.

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Determine the momentum of …

a. … an electron (m= 9.1 x10-31 kg) moving at 2.18 x 106 m/s (as if it were in a Bohr orbit in the H atom).
b. … a 0.45 Caliber bullet (m = 0.162 kg) leaving the muzzle of a gun at 860 m/s.
c. … a 110-kg professional fullback running across the line at 9.2 m/s.
d. … a 360,000-kg passenger plane taxiing down a runway at 1.5 m/s

Answers

A. The momentum of the electron is 1.98×10⁻²⁴ Kg.m/s

B. The momentum of the Caliber bullet is 139.32 Kg.m/s

C. The momentum of the professional fullback is 1012 Kg.m/s

D. The momentum of the passenger plane is 540000 Kg.m/s

What is momentum?

Momentum is defined as the product of mass and velocity. It is expressed mathematically as:

Momentum = mass × velocity

A. How do I determine the momentum of the electron?

Mass of electron = 9.1×10⁻³¹ KgVelocity of electron = 2.18×10⁶ m/sMomentum of electron =?

Momentum = mass × velocity

Momentum of electron = 9.1×10⁻³¹ × 2.18×10⁶

Momentum of electron = 1.98×10⁻²⁴ Kg.m/s

B. How do I determine the momentum of the Caliber bullet?

Mass of Caliber bullet = 0.162 KgVelocity of Caliber bullet = 860 m/sMomentum of Caliber bullet =?

Momentum = mass × velocity

Momentum of Caliber bullet = 0.162 × 860

Momentum of Caliber bullet = 139.32 Kg.m/s

C. How do I determine the momentum of the professional fullback?

Mass of professional fullback = 110 KgVelocity of professional fullback = 9.2 m/sMomentum of professional fullback =?

Momentum = mass × velocity

Momentum of professional fullback = 110 × 9.2

Momentum of professional fullback = 1012 Kg.m/s

D. How do I determine the momentum of the passenger plane?

Mass of passenger plane = 360000 KgVelocity of passenger plane = 1.5 m/sMomentum of passenger plane =?

Momentum = mass × velocity

Momentum of passenger plane = 360000 × 1.5

Momentum of passenger plane = 540000 Kg.m/s

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A large cannon is mounted on a cart with frictionless wheels that is initially at rest on a horizontal surface. The cannon fires a large cannonball to the right with a speed v_b which is then caught by a trap firmly attached to the cart. What is the final speed of the cannoncart-cannonball system? V > v_b, to the left

Answers

The final velocity of the cannonball-cart system is less than the initial velocity of the cannonball and the system will move in the direction of the cannonball ( V < v_b ).

What is the law of conservation of linear momentum?

The law of conservation of linear momentum states that the sum of the initial momentum is equal to sum of the final momentum, provided that the system is Isolated.

Mathematically, the law of conservation of linear momentum is given as;

Pi = Pf

where;

Pi is the sum of the initial momentumPf is the sum of the final momentum

m₁u₁ + m₂u₂ = v ( m₁ + m₂ )

where;

m₁ is the mass cannon ballu₁ is the initial velocity of the cannon ballm₂ is the mass of the cartu₂ is the initial velocity of the cartv is the final velocity of the cannoncart-system

since the cart is initially at rest, the initial velocity of the cart = 0

m₁u₁ + 0 = v ( m₁ + m₂ )

m₁u₁ = v ( m₁ + m₂ )

v = ( m₁u₁ ) / ( m₁ + m₂ )

given initial velocity of the cannon ball = v_b

The final velocity of the cannonball-cart system is calculated as follows;

V = ( m₁v_b ) / ( m₁ + m₂ )

Hence, V < v_b

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Earth satellite whose height is 35786 km then find its distance velocity ?

help me it's urgent i mark u brainlist​

Answers

Earth satellite whose height is 35786 km them the distance velocity is 11,300 km/h.

What is satellite?

Satellite is defined as a piece of technology that is launched into space and orbits the earth or another planet with a specific purpose. An object that orbits a larger object can be referred to as a satellite.

The equation for estimating the speed for the orbital velocity of a satellite is derived using the centripetal force and gravitation equations. The spacecraft would need to maintain a velocity of roughly 11,300 km/h in order to complete one orbit of the earth, which is located nearly 35,786 km above the surface of the planet.

Thus, earth satellite whose height is 35786 km them the distance velocity is 11,300 km/h.

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Calculate the total momentum of the system comprising the two carts and the two people.
Christine and Daemon both have a momentum of 81.69kgm/s

Answers

The momentum of the system can now be obtained as 163.38kgm/s.

What is the momentum of the cart and the people

We know that momentum is a vector quantity and as such, we know that we must have to look at the direction If we are talking about the vector and this is important to our discussion.

We must note that if we consider the two objects that we have, they are moving in the same direction and as such, the velocity of the momentum of the objects would have to be added accordingly in the way that we work with vector

Then we have;

Total momentum of the system = Momentum of Christine + momentum

Daemon

In order to obtain the total momentum of the system we can now add up and we have;

81.69kgm/s + 81.69kgm/s

= 163.38kgm/s

Thus the combined system would be found to have a momentum of 163.38kgm/s.

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