A ball of mass m slides with velocity v on a frictionless horizontal surface and

Question

A ball of mass m slides with velocity v on a frictionless horizontal surface and hits a large wooden block of mass M which lies on the same frictionless surface. The block M is suspended like a pendulum and initially at rest. The ball has become embedded in the block after the collision.

What is conserved during the collision?

Why is that conserved? (Provide a short explanation)

What is the speed of the block just after the ball has become embedded in terms of m, M, and v?

As a result of the collision, the block and the ball swing up to a maximum hight h. c) (2pts) What is conserved during the swing?

Why is that conserved? (Provide a short explanation)

d) Determine the maximum hight h in terms of m, M, and v.

Explanation / Answer

1.momentum is conserved

2)momentum of system is conserved because there is no external force on the system.here system consists of both the blocks

3.conserving momentum,

m*v=(m+M)V

V=mv/m+M

4)mechanical energy of both blocks is conserved because no external force is doing work on block

h=V^2 /2g

=(mv/m+M)^2 /2g

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