You have been asked to design a ballistic spring system to measure the speed of

Question

You have been asked to design a ballistic spring system to measure the speed of bullets. A bullet of mass is fired into a block of mass M. The block, with the embedded bullet, then slides across a frictionless table and collides with a horizontal spring whose spring constant is k. The opposite end of the spring is anchored to a wall. The spring?s maximum compression d is measured. (a) Find an expression for the bullet?s initial speed in terms of m, M, k, and d. vi= (b) What was the speed of a 4.1 g bullet if the block?s mass is 2.0 kg and if the spring, with k = 45 N/m, was compressed by 10 cm? m/s (c) What fraction of the bullet?s energy is lost? Where did it go?

Explanation / Answer

214.5

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