Question

A bullet with mass 25 g and initial horizontal velocity 320 m/s strikes a block of mass 2 kg that rests on a frictionless surface and is attached to one end of a spring. The bullet becomes embedded in the block. The other end of the spring is attached to the wall. The impact compress the spring a maximum distance of 25 cm . After the impact, the block moves in simple harmonic motion.

1. What is the frequency of the oscillation?

2. Sketch graphs for the block’s position, velocity, and acceleration as a function of time (x vs. t, v vs. t, a vs. t). Check to make sure your graphs are consistent.

3. Write an description of what is happening to the energy in this system from the time the bullet is fired until the block returns to its starting position for the first time. Meaning, tell a story about how the energy changes form or moves from one object to another.

Answer 1

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