Question 295: 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