First slide

The steps in collision

Question

Two objects of mass m each moving with speed $u {ms}^{- 1}$ collide at 90°, then final momentum is (assume collision is inelastic) [JIPMER 2019]

Moderate

A

mu
B

2 mu
C

$\sqrt{2} mu$
D

$2 \sqrt{2} mu$

Solution

Speed of objects = $u {ms}^{- 1}$
Since, both objects collide at 90°.
Hence, by the law of conservation of momentum,
Total momentum before collision
= Total momentum after collision
$| m u \hat{i} + m u \hat{j} | = p_{f}$
$\sqrt{m^{2} u^{2} + m^{2} u^{2}} = p_{f}$
$\Rightarrow$ $p_{f} = \sqrt{2} mu$

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