a)Find an expression for the bullet's initial speed v_B in terms of m, M, k, and d. Express your answer in terms of the variables m M k d b)What was the speed of a 1.8 g bullet if the block's mass is 1.1 kg and if the spring, with k = 37 N/m , was compressed by 16 cm? Express your answer in meters per second. c)What percentage of the bullet's energy is "lost"? Express your answer in percent to four significant figures

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Oscillatory Motion
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a)Find an expression for the bullet's initial speed v_B in terms of m, M, k, and d.

Express your answer in terms of the variables m M k d
b)What was the speed of a 1.8 g bullet if the block's mass is 1.1 kg and if the spring, with k = 37 N/m , was compressed by 16 cm?
Express your answer in meters per second.
c)What percentage of the bullet's energy is "lost"?
Express your answer in percent to four significant figures.
You have been asked to design a "ballistic spring
system" to measure the speed of bullets. A bullet of
mass m 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.
Transcribed Image Text:You have been asked to design a "ballistic spring system" to measure the speed of bullets. A bullet of mass m 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.
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