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A 1.3 kg block sits at rest on a frictionless table. An 8 g bullet is shot at 30

ID: 2185038 • Letter: A

Question


A 1.3 kg block sits at rest on a frictionless table. An 8 g bullet is shot at 300 m/s towards the block and embeds itself into the block.
A. What is the final velocity of the block after the bullet embeds itself?
B. Considering the initial and final kinetic energies, how much energy is lost in the process?
C. The block with the bullet embedded in it then slides across the frictionless surface until it hits a spring of spring constant (1100 N/m) attached to the wall. How much does the spring compress before the block and bullet comes briefly to rest?
D. The spring recoils and shoots the block and bullet back in the opposite direction. What is the velocity of the block after it leaves the spring and slides away across the frictionless surface?

Explanation / Answer

A) conserving momentum, 0.004*500 = 1.204*v so, v = 1.66 m/s