Question

Question #b6c63

Answer 1

There appears to be some missing text in the opening sentence of the question.

Assuming it is as follows:

"A golf ball collides elastically with a bowling ball initially at rest and bounces back."

It is given that the golf ball bounces back with tiny loss in its incident speed.

Let `m_g` be mass of golf ball and `v_i` be its initial velocity. Let `M_b` be the mass of bowling ball. And `p_b` be final momentum of bowling ball.
Initial momentum of the system is
`p_i=m_gxxv_i+M_bxx0`
`=>p_i=m_gv_i` .......(1)

Final momentum `p_f` is
`p_f=m_gxx(-v_i)+p_b`
`=>p_f=-m_gv_i+p_b` .....(2)

Using law of conservation of momentum, we equate (1) with (2). We get
`m_gv_i=-m_gv_i+p_b`
`=>p_b=2(m_gv_i)` ....(3)

We see that after collision, bowling ball recoils with twice the initial momentum of golf ball.