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 m is fired vertically upward into the bottom of the block and stops in the block. The spring's maximum compression d is measured. Find an expression for the bulletť's speed vg in terms of m, M, k, and d. What was the speed of a 10 g bullet if the block's mass is 2.0 kg and if the spring, with k = 50 N/m, was compressed by 45 cm?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 m is fired vertically upward into the bottom of the block and stops in the block. The spring's
maximum compression d is measured. Find an expression for the bulletť's speed vg in terms of m, M, k,
and d. What was the speed of a 10 g bullet if the block's mass is 2.0 kg and if the spring, with k = 50 N/m,
was compressed by 45 cm?
Transcribed Image Text: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 m is fired vertically upward into the bottom of the block and stops in the block. The spring's maximum compression d is measured. Find an expression for the bulletť's speed vg in terms of m, M, k, and d. What was the speed of a 10 g bullet if the block's mass is 2.0 kg and if the spring, with k = 50 N/m, was compressed by 45 cm?
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