A cart of mass 50 kg is moving on a straight track with a speed of 12 m/s. A mass of 10 kg is gently put into the cart. What will be the velocity of the cart after this?
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Since there is no external forces acting on the system using the conservation of momentum:
Initial momentum = final momentum
m1 = 50kg
m2 = 50+10 = 60kg
V1 = 12kg
V2 = ??
`m1V1 = m2V2`
`50xx12 = (50+10)V2`
`V2 = (50xx12)/60`
`V2 = 10`
So the velocity of the cart after this is 10m/s.
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