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. What was the speed of a 1.5 g bullet if the block's mass is 1.1 kg and if the spring, with k = 20 N/m, was compressed by 17 cm? What percentage of the bullet's energy is "lost"?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.36P: In an elastic collision of two particles with masses m1 and m2, the initial velocities are u1 and u2...
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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.
What was the speed of a 1.5 g bullet if the
block's mass is 1.1 kg and if the spring, with
k = 20 N/m, was compressed by 17 cm?
What percentage of the bullet's energy is
"lost"?
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. What was the speed of a 1.5 g bullet if the block's mass is 1.1 kg and if the spring, with k = 20 N/m, was compressed by 17 cm? What percentage of the bullet's energy is "lost"?
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