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\times T= $ Change in momentum therefore $ F _{0}\times T=2mu $
therefore $ F _{0}=\frac{2mu}{T} $
