A particle with total mechanical energy which is small and negative is under the influence of a one dimensional potential U ( x ) = x 4 4 - x 2 2 J , where x is in meters. At time t = 0 s , it is at x = - 0 . 5 m . Then at a later time it can be found,

between x = - 1 . 0 m and x = 0 . 0 m

between x = - 1 . 0 m and x = 1 . 0 m

between x = 0 . 0 m and x = 1 . 0 m .

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A string of negligible mass going over a clamped pulley of mass $m$ supports a block of mass $M$ as shown in the figure. The force on the pulley by the clamp is given by

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Important Questions on Work, Energy and Power

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Physics Crash Course JEE Main>Chapter 4 - Work, Energy and Power>Level 2>Q 17

A particle with total mechanical energy which is small and negative is under the influence of a one dimensional potential

U (x) = \frac{x^{4}}{4} - \frac{x^{2}}{2} J

, where

x

is in meters. At time

t = 0 s,

it is at

x = - 0.5 m .

Then at a later time it can be found,

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Physics Crash Course JEE Main>Chapter 4 - Work, Energy and Power>Level 3>Q 7

Two objects are initially at rest on a frictionless surface. Object

1

has greater mass than object

2

. Some constant force starts to act on each object. The force is removed from each object after it accelerates over a distance

d

. After the force is removed from both objects, which of the statements is correct (

p :

momentum;

K :

kinetic energy)?

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Physics Crash Course JEE Main>Chapter 4 - Work, Energy and Power>Level 3>Q 9

A weightless rod of length $2 l$ carries two equal masses $m$ , one tied at the lower end $A$ and the other at the middle of the rod at $B$ . The rod can rotate in a vertical plane about a fixed horizontal axis passing through $C$ . The rod is released from rest in a horizontal position. The speed of the mass $B$ at the instant rod become vertical is

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Physics Crash Course JEE Main>Chapter 4 - Work, Energy and Power>Level 3>Q 10

In the figure shown, a particle of mass $m$ is released from the position $A$ on a smooth track. When the particle reaches at $B$ , then normal reaction on it by the track is

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Physics Crash Course JEE Main>Chapter 4 - Work, Energy and Power>Level 3>Q 11

An engine can pull

4

coaches at a maximum speed of

20 m s^{- 1}

. Mass of the engine is twice the mass of every coach. Assuming resistive forces to be proportional to the weight, approximate maximum speed of the engine when it pulls

12

and

6

coaches will be

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Physics Crash Course JEE Main>Chapter 4 - Work, Energy and Power>Level 3>Q 12

A constant power

P

is applied to a car starting from rest. If

v

is the velocity of the car at time

t,

then

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Physics Crash Course JEE Main>Chapter 4 - Work, Energy and Power>Level 3>Q 13

A small body of mass $m$ slides down from the top of a hemisphere of radius $r$ . The surface of the block and hemisphere are frictionless.

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The height at which the body loses contact with the surface of the sphere is

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Physics Crash Course JEE Main>Chapter 4 - Work, Energy and Power>Level 3>Q 14

A massive ball moving with speed

v

collides head on with a tiny ball at rest having a mass very less than the mass of the first ball. If the collision is elastic, then immediately after the impact, the second ball will move with a speed approximately equal to

A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given by

Important Questions on Work, Energy and Power

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A string of negligible mass going over a clamped pulley of mass $m$ supports a block of mass $M$ as shown in the figure. The force on the pulley by the clamp is given by