JEE MAIN - Physics (2020 - 6th September Morning Slot - No. 3)
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 ________.
Answer
120
Explanation
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Momentum conservation along x,
mv0 × cos $$\theta $$ × 2 = 2m $$ \times $$ $$\left( {{{{v_0}} \over 2}} \right)$$
$$ \Rightarrow $$ cos $$\theta $$ = $${1 \over 2}$$
$$ \Rightarrow $$ $$\theta $$ = 60o
$$ \therefore $$ 2$$\theta $$ = 120o
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