While playing a football match, Krish collided and got entangled with Tom who was playing for opposite team and running from opposite side. The mass of Krish was 40 kg and the mass of Tom was 60 kg. If Tom was running with a velocity of 4 m/s and Krish was running with a velocity of 3 m/s, If Krish stops completely, find the velocity of tom after collision assuming other forces were negligible (in m/s).

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Solution

Mass of Krish, $m_{1}$ = 40 kg

Initial velocity of Krish, $u_{1}$ = -3 m/s

Mass of Tom, $m_{2}$ = 60 kg

Initial velocity of Tom, $u_{2}$ = 4 m/s

Initial momentum = (60 $\times$ 4) - ( 40 $\times$ 3) = 120 Kg $\frac{m}{s}$

Final velocity of krish = 0 (stops)

Final velocity of tom = V (yet to find)

Final momentum = (40 $\times$ 0) + 60V

According to conservation of momentum, Final momentum = initial momentum

60 V = 120

V = 2 $\frac{m}{s}$

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