Question 296: Centre of Mass and Rotational Motion

Question

Two bodies of the same mass are moving with the same speed, but in different directions in a
plane. They have a completely inelastic collision and move together thereafter with a final speed
which is half of their initial speed. The angle between the initial velocities of the two bodies (in
degree) is ________.

Accepted Answer

Momentum conservation along x,
mv
0
ÃÂ cos $	heta $ ÃÂ 2 = 2m $ 	imes $ $\left( {{{{v_0}} \over 2}} ight)$
$ \Rightarrow $ cos $	heta $ = ${1 \over 2}$
$ \Rightarrow $ $	heta $ = 60
o
$ 	herefore $ 2$	heta $ = 120
o

Centre of Mass and Rotational Motion

Integer / Numeric Answer Type