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JEE 2020 Physics: Work, Energy and Power Quiz 4 (01.08.2019)

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Question 1

A block of mass

slides from rest at a height

on a frictionless inclined plane as shown in the figure. It travels a distance

across a rough horizontal surface with coefficient of kinetic friction

, and compresses a spring of spring constant

by a distance

before coming to rest momentarily. Then the spring extends and the block travels back attaining a final height of

. Then

Question 2

Ramesh takes 5 minutes to raise a box through a height of 10 m. Suresh takes 2 minutes for the same job and does the same amount of work. Which one uses greater energy?

Question 3

The particle is placed at the origin and a force F = kx is acting on it (where, k is a positive constant.) If U (0) = 0, the graph of U (x) versus X will be, (where, U is the potential energy function)

Question 4

A rigid body of mass m is moving in a circle of radius r with a constant speed v. The force on the body is

and is directed towards the centre. What is the work done by this force in moving the body over half the circumference of the circle?

Question 5

A block of mass m is suspended by a light thread from an elevator. The elevator is accelerating upward with uniform acceleration a. The work done by tension on the block during t seconds is :

Question 6

A car of mass 400kg and travelling at 72 kmph crashes into a truck of mass 4000kg and travelling at 9 kmph, in the same direction. The car bounces back at a speed of 18 kmph. The speed of the truck after the impact is

Question 7

A big ball of mass M, moving with velocity u strikes a small ball of mass m, which is at rest. Finally, small ball attains velocity u and big ball v. Then what is the value of v

Question 8

A smooth sphere of mass M moving with velocity u directly collides elastically with another sphere of mass m at rest. After collision their final velocities are V and v respectively. The value of v is

Question 9

The mass of a hydrogen molecule is

hydrogen molecules strike, per second, a fixed wall of area

at an angle of 45 ° to the normal, and rebound elastically with a speed of

10³ m/s, then the pressure on the wall is nearly

Question 10

In a collinear collision, a particle with an initial speed

strikes a stationary particle of the same mass. If the final total kinetic energy is 50% greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after collision is :

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