First slide

Collisions

Question

Two bodies of masses 0.1 kg and 0.4 kg move towards each other with the velocities 1 m/s and 0.1 m/s respectively, After collision they stick together. In 10 sec the combined mass travels

Moderate

Solution

Velocity of combined mass, $v = \frac{m_{1} v_{1} - m_{2} v_{2}}{m_{1} + m_{2}}$
$= \frac{0 .1 \times 1 - 0 .4 \times 0 .1}{0 .5} = 0 .12 m / s$
$∴$ Distance travelled by combined mass
= $v \times t =$ 0.12 × 10 = 1.2 m.

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