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  4. A truck of mass 10 metric ton runs at 3 m s- 1 along a level track and collides with a loaded truck of mass 20 metric ton, standing at rest. If the trucks couple together, the common speed after the collision is

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Q. A truck of mass $10$ metric ton runs at $3 \, m \, s^{- 1}$ along a level track and collides with a loaded truck of mass $20$ metric ton, standing at rest. If the trucks couple together, the common speed after the collision is

NTA AbhyasNTA Abhyas 2020

Solution:

By the conservation of linear momentum
$v=\frac{m_{1} u_{1} + m_{2} u_{2}}{m_{1} + m_{2}}$
$v=\frac{10 \times 3 + 20 \times 0}{10 + 20}=1ms^{- 1}$