bullet of mass m moving with velocity v is fired into a large wooden block of mass M . If bullet remains inside the block , what is the velocity of the system
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Answer:
- Mass of the bullet = m
- Mass of the block = M
- Initial Velocity of the bullet = v
- Initial Velocity of the block = 0
- Final Velocity of the bullet and block system = V = ?
According to Conservation of Linear Momentum,
Initial Momentum = Final Momentum
In this case, Initial Momentum is given as:
⇒ mv + M ( 0 )
⇒ mv
Final Momentum is given as:
⇒ ( m + M ) V
Substituting in the equation we get,
⇒ mv = ( m + M ) V
⇒ V = mv / ( m + M )
Therefore the velocity of the system ( V ) is [ mv/( m + M ) ].
Hope it helped !!
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