As you requires I am here giving you sample questions On Work Power And Energy for IIT JEE.

Sample Questions :
Question 1

A peculiar spring has a force law
F = -Dx3
which of the following is true

(a) potential energy at point x when U = 0 at x = 0 is
(b) if a mass m is attached to the spring. Mass is displaced slightly, it will follow simple harmonic motion
(c) work has to be done on the spring in stretching it slowing from 0 to x
(d) none of the above

Question 2

An object of mass M slides downward along a plane inclined at angle θ .
The coefficient of friction is k
Find d(U + KE)/dt
(a) kmg2cosθ (sinθ - kcosθ)
(b) kmg2sinθ (sinθ - kcosθ)
(c) kmg2 (sinθ - kcosθ)
(d) none of the above


Question 3

What is true for gravitational force
(a) work done between the two points does not depend on the path travelled
(b) work done in a closed loop is zero
(c) W = - ΔU
(d) it is a conservative force


Question 4

An object moves on a inclined plane in upward direction at uniform velocity. Neglect frictional force. Which of the following is true
(a) gravitational force does negative work
(b) engine does positive work
(c) normal reaction force does not do any work
(d) none of the above

Question 6

A body(m) is moving along positive x axis at t = 0, v = v0 and x = 0
It is subjected to retarded force
F = -2x

Find the x coordinate, where is 0
(a) x = v0 √(m/2)
(b) x = v0 √(m)
(c) x = v0 √(2m)
(d) none of the above


Question 7

A particle moves from rest at point P1 on the surface of the smooth circular cylinder of radius R
Find the angle it will leave the cylinder
(a) θ = sin-12/3
(b) θ = cos-11/3
(c) θ = cos-12/3
(d) none of the above


Question 8

The kinetic energy of a particle moving along a circle of radius R depend on the distance covered S as
T = aS2
where a is constant
find the force acting on the particle as a function of S
(a) 2aS2/R
(b) 2aS √[1 + (S/R)2]
(c) 2aS √[1 - (S/R)2]
(d) none of the above


Question 9

A body is thrown vertically upward with a velocity v. It rise to some height and come back. find the mean power over all cycle
(a) mgv
(b) 0
(c) mgv2

(d) none of the above


1.(a), (c)
2. (a)
3. all
4. (a), (b), (c)
5. (a), (c)
6. (a)
7. (c)
8. (b)
9. (b)