Answer to Question #116236 in Mechanics | Relativity for Rethabile Force

Question

Two objects A and B having inertias Ma=m and Mb=1.1m are moving with velocities Va=V and Vb=8.4v.
Find the velocities of object B in the zero momentum frame of reference

Answer 1

The velocity of center of mass

$V=\frac{M_av_a+M_bv_b}{M_a+M_b}\\ =\frac{mv+1.1m\times 8.4v}{m+1.1m}=4.9v$

Hence, the velocities of object B in the zero momentum frame of reference

$v_b'=v_b-V=8.4v-4.9v=3.5v$