A heavy car A of mass 2000 kg travelling at 10 m/s has a head-on collision with a sports car B of mass 500 kg. If both cars stop dead on colliding, what was the velocity of car B?

As given, mass of car A, $m_A=2000\ kg$

Speed of car A, $v_A=10\ m/s$

Mass of car B, $m_B=500\ kg$

Let $v_B$ the speed of car B.

According to the law of conservation of momentum

$m_Av_A=m_Bv_B$

Or $2000\times 10=500\times v_B$

Or $v_B=\frac{20000}{500}$

Or $v_B=40\ m/s$

Therefore, the velocity of car B is $40\ m/s$.

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Updated on: 10-Oct-2022

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