Question

A particle of mass m1 moves with velocity v collides with .2 at rest then they get embedded

Answer 1

Answer:

Total initial momentum = mv + 0 = mv

Let bodies move with velocities v1 and v2 after collision

Total final momentum = m(v1 + v2)

Linear momentum is conserved

mv = m(v1 + v2)

v = v1 + v2 -- eq 1

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Total initial KE = mv2 /2

Total final KE = m[v12 + v22 ]/2

Kinetic energy is also conserved in elastic collision.

mv2 /2 = m[v12 + v22 ]/2

v2 = v12 + v22

from eq 1

(v1 + v2)2 = v12 + v22

v12 + v22 + 2 v1v2 = v12 + v22

gives v1v2 = 0

either v1 = 0 or v2 = 0