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Important Questions on Work, Energy and Power

EASY

Physics>Mechanics>Work, Energy and Power>Work Energy Theorem

A force acts on a

2 kg

object so that its position is given as a function of time as

x = 3 t^{2} + 5 .

What is the work done by this force in first

5

seconds?

EASY

Physics>Mechanics>Work, Energy and Power>Work Energy Theorem

Two particles $A, B$ are moving on two concentric circles of radii $R_{1}$ and $R_{2}$ with equal angular speed $ω .$ At $t = 0,$ their positions and direction of motion are shown in the figure:

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The relative velocity $\vec{V_{A}} - \vec{V_{B}}$ at $t = \frac{π}{2 ω}$ is given by:

EASY

Physics>Mechanics>Work, Energy and Power>Work Energy Theorem

A disc of radius

2 m

and mass

100 k g

rolls on a horizontal floor. Its centre of mass has speed of

20 c m s^{- 1} .

How much work is needed to stop it?

EASY

Physics>Mechanics>Work, Energy and Power>Work Energy Theorem

If the kinetic energy of a particle of mass $m,$ performing uniform circular motion in a circle of radius $r,$ is $E,$ find the acceleration of the particle.

EASY

Physics>Mechanics>Work, Energy and Power>Work Energy Theorem

An astronaut of mass

m

is working on a satellite orbiting the earth at a distance

h

from the earth's surface. The radius of the earth is

R

, while its mass is

M

. The gravitational pull

F_{G}

on the astronaut is

EASY

Physics>Mechanics>Work, Energy and Power>Work Energy Theorem

K_{i}

and

K_{f}

are the initial and final values of kinetic energy of a body respectively, then the work done by the net force on the body is equal to

EASY

Physics>Mechanics>Work, Energy and Power>Work Energy Theorem

A force of 5 N making an angle

θ

with the horizontal, acting on an object displaces it by 0.4 m along the horizontal direction. If the object gains kinetic energy of 1J, the horizontal component of the force is

EASY

Physics>Mechanics>Work, Energy and Power>Work Energy Theorem

A body of mass

1 kg

is moving in a vertical circular path of radius

1 m

. The difference between the kinetic energies at the highest and lowest position is,

EASY

Physics>Mechanics>Work, Energy and Power>Work Energy Theorem

A ball of mass m is dropped from a height h on a platform fixed at the top of a vertical spring, as shown in figure. The platform is depressed by a distance x. Then the spring constant is

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