Question

Which of the following statements for a rigid object undergoing pure translational motion are false?

This question has multiple correct options
A

If an object receives an impulse its kinetic energy must change.

B

An object's kinetic energy can change without the object changing momentum.

C

An object can receive a net impulse without any work being done on it.

D

A force may do work on an object without delivering any change in momentum.

Hard

Solution

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Correct options are A) , B) and D)

(A) For head on elastic collision of sphere with wall, K.E. of sphere does not change but the sphere receives an impulse. Hence false.

(B) If K.E. of a sphere changes its velocity and thus momentum must change. Hence false.

(C) A force acting perpendicular to velocity changes momentum, but does no work. Hence true.

(D) When a force does work, kinetic energy of body changes. If K.E. changes, velocity and thus momentum must change. Hence false.

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