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A bullet with mass 25g and initial horizontal velocity 320m/s strikes a block of mass 2kg...

A bullet with mass 25g and initial horizontal velocity 320m/s strikes a block of mass 2kg 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 compresss the spring a maximum distance of 25cm. 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 func- tion 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.

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