bullet of mass m is fired straight up at a falling wooden block that has a mass of mass M. The bullet has a speed v m/s when it strikes the block. The block originally was dropped from rest from the top of a building and had been falling for a time t when the collision with the bullet occurred. As a result of the collision, the block (with the bullet in it) reverses direction, rises, and comes to a momentary halt at the top of the building.   Determine time t taken by the block falling from rest to a point of collision with the bullet. Give your answer in term of mass m, M, v and g.

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A bullet of mass m is fired straight up at a falling wooden block that has a mass of mass M. The bullet has
a speed v m/s when it strikes the block. The block originally was dropped from rest from the top of a
building and had been falling for a time t when the collision with the bullet occurred. As a result of the
collision, the block (with the bullet in it) reverses direction, rises, and comes to a momentary halt at the
top of the building.

 

Determine time t taken by the block falling from rest to a point of collision with the bullet. Give
your answer in term of mass m, M, v and g.

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