Question

A body of mass m moves with velocity v and collides elastically with a another body of mass m (m>>m) at rest then the velocity of body of mass m is: options

Answer 1

After collision the Velocity of m1 "v1" = v and Velocity of m2  "v2" = 2v

Explanation:

We are given m1 >> m2

• m1 ---> v1 = v

• u2 = 0

The velocity of first body after collision.

v1 = (m1 - m2) / (m1 + m2 ).r + 2 m2r / m1 + m2 = (m1 - m2) / (m1 + m2 ). u1 + 0

• m1 >> m2 therefore m2 is neglectrd.

v1 = ( m1 / m1 ). v = v

The velocity of second body after collision.

v2 = 2m1v1 / m1 + m2 + (m2 - m1 / m1v + m2)v2 = 2 m1 v1 / m1 + m2 + 0

2 m1 v1 / m1 = 2v

after collision

Velocity of m1 "v1" = v

Velocity of m2  "v2" = 2v

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