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A block of mass m and a pan of equal mas...

A block of mass m and a pan of equal mass are connected by a string going over a smooth light pulley as shown in figure. Initially the system is at rest when a particle of mass m falls on the pan and sticks to it. If the particle strikes the pan with a speed v find the speed with which the system moves just after the collision.

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To solve the problem step by step, we will use the principles of conservation of momentum and the concept of impulsive forces. ### Step 1: Understand the system We have: - A block of mass \( m \) hanging on one side of a pulley. - A pan of mass \( m \) on the other side. - A particle of mass \( m \) falling onto the pan with an initial speed \( v \). ...
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