A spring of force constant k = 3000 N/m launches 1-kg marbles upward into a 20-kg block, as shown at right. The spring is compressed 0.2 m from its natural length and then released. The marble travels upward 0.2 m as the spring pushes it and then travels upward an additional 0.8 m to strike the bottom of the block. The block then flies upward into the air. (see attachment below for image of problem)

If the collision between the marble and the block is elastic, what is the speed of the block after the collision?

Question

A spring of force constant k = 3000 N/m launches 1-kg marbles upward into a 20-kg block, as shown at right. The spring is compressed 0.2 m from its natural length and then released. The marble travels upward 0.2 m as the spring pushes it and then travels upward an additional 0.8 m to strike the bottom of the block. The block then flies upward into the air.   (see attachment below for image of problem)

If the collision between the marble and the block is elastic, what is the speed of the block after the collision?

anonymous · Answer

Problem Diagram

anonymous · Answer

use basic momentum and energy equations...