Question

While playing a football match, Gaurav collided and got entangled with Shubhendu who was playing for opposite team and running from opposite side. The mass of Gaurav was 40 kg and the mass of Shubhendu was 60 kg. If Gaurav was running with a velocity of 5m/s and Shubhendu was running with a velocity of 7m/s, find the velocity and direction of both of the players after collision.(Assume no other forces)

• A. 6.2 m/s
• B. 6.0 m/s
• C. 2.0 m/s
• D. 2.2 m/s

Answer 1

The correct option is D

2.2 m/s

Let assume Gaurav has positive velocity.
By conservation of momentum,
$m_1{u}_1+m_2{u}_2=(m_1+m_2)v$
$\Rightarrow 40\ast 5+(-60)\ast 7=100\ast v$
$\Rightarrow$ 100v=-220
$\Rightarrow$ v = -2.2 m/s
Hence they both will have velocity of 2.2 m/s towards the side of Shubendu.