You have been asked to design a "ballistic spring system" to measure the speed of bullets. A spring whose spring constant is k is suspended from the ceiling. A block of mass M hangs from the spring. A bullet of mass mm is fired vertically upward into the bottom of the block. The spring's maximum compression dd is measured from its initial suspended position. Find an expression for the bullet's speed vB. Express your answer in terms of the variables mmm, M, k, d, and constant g   What was the speed of a 15 gg bullet if the block's mass is 2.0 kg and if the spring, with k = 55 N/mN/m, was compressed by 47 ccm? Express your answer in meters per second to two significant figures.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter10: Systems Of Particles And Conservation Of Momentum
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You have been asked to design a "ballistic spring system" to measure the speed of bullets. A spring whose spring constant is k is suspended from the ceiling. A block of mass M hangs from the spring. A bullet of mass mm is fired vertically upward into the bottom of the block. The spring's maximum compression dd is measured from its initial suspended position.

Find an expression for the bullet's speed vB.

Express your answer in terms of the variables mmm, M, k, d, and constant g

 

What was the speed of a 15 gg bullet if the block's mass is 2.0 kg and if the spring, with k = 55 N/mN/m, was compressed by 47 ccm?
Express your answer in meters per second to two significant figures.
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