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Question

Which of the following statements for a rigid object undergoing pure translational motion are false?
  1. An object can receive a net impulse without any work being done on it.
  2. An object's kinetic energy can change without the object changing momentum.
  3. If an object receives an impulse its kinetic energy must change.
  4. A force may do work on an object without delivering any change in momentum.

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
A force may do work on an object without delivering any change in momentum.
D
An object can receive a net impulse without any work being done on it.
Solution
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(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.

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