Laws Of Motion Question 94

Question: A particle of mass m moving with velocity u makes an elastic one dimensional collision with a stationary particle of mass m. They are in contact for a very short time T. Their force of interaction increases from zero to F0 linearly in time T/2, and decreases linearly to zero in further time T/2. The magnitude of F0 is

Options:

A) mu/T

B) 2mu/T

C) mu/2T

D)None of these

Show Answer

Answer:

Correct Answer: B

Solution:

In elastic one dimensional collision particle rebounds with same speed in opposite direction i.e. change in momentum =2mu

But Impulse =F×T= Change in momentum therefore F0×T=2mu

therefore F0=2muT



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