A cricket ball of mass 100g moving with a speed of 30m/s is brought to rest by a player in 0.03 secs find the change in momentum and the force applied by the player
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Given -
- Mass = 100 g = 0.1 kg
- Speed = 30 m/s
- Time = 0.03 s
To Find -
- Change in momentum ?
- Force applied by the player ?
Solution -
Initial Momentum = mu = 0.1*30 = 3 kg m/s
Final Momentum = mv = 0.1*0 = 0 kg m/s
So, change in momentum = 0 - 3 = (-3) kg m/s
Finding acceleration :
➸ v = u + at
➸ 0 = 30 + a * 0.03
➸ - 30 = a * 0.03
➸ a = -30/0.03
➸ Acceleration = -1000 m/s²
Force applied by the player : mass * acceleration
➸ F = ma
➸ F = 0.1 * -1000
➸ Force = -100 N
Hence, change in momentum = - 3 kg m/s force applied by the player = - 100 N.
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