A body of mass 3 kg collides elastically with another body at rest and then continues to move in the…

A body of mass 3 kg collides elastically with another body at rest and then continues to move in the original direction with one-half of its original speed. What is the mass of the target body (in kg)?

Solution

Picture 346


Conservation of linear momentum :
3u=(3u/2)+mv         mv=(3u/2)(1)


Picture 345


Newton's experimental law :
u=e(u/2v)

Putting e=1 for elastic collision we obtain,
v=3u2..(2)
Using (1) and (2), we obtain m=1 kg.

Asked in: Practice

Practice more Center of Mass Momentum and Collision questions on Aicharya