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.
Solution:
Momentum conservation along $x$
$2 \mathrm{mv}_{0} \cos \theta=2 \mathrm{~m} \frac{\mathrm{v}_{0}}{2}$
$\cos \theta=\frac{1}{2}$
$\theta=60$
Angle is $2 \theta=120$
Ans. $120.00$
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