Question: 1) A metallic arrow with mass m and an initial speed v collides with object of mass M, initially at rest, connected to a spring

1) A metallic arrow with mass m and an initial speed v collides with object of mass M, initially at rest, connected to a spring of constant K. After collision, the arrow and objects stick together. Determine:

a. The speed of object and the arrow just after the collision

b. the maximum compression of the spring assuming a smooth surface with no friction

A block with mass 24.0 kg is hanging from the ceiling by a rope. A bullet, with mass 25.0 g is fired directly into the center of the block and becomes lodged there, causing the block to swing like a pendulum. During the swing the block reachers a maximum height of 0.50 cm. What is the initial speed of the bullet?

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