A wooden block of mass 25m sits on a floor attached to a spring in its equilibrium position. A bullet of mass m is fired with a velocity of v into the wooden block, where it remains. Derive an equation for the maximum displacement of the spring if the floor is frictionless and the spring has a spring constant of k.

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 9.52P
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A wooden block of mass 25m sits on a floor attached to a spring in its equilibrium
position. A bullet of mass m is fired with a velocity of v into the wooden block, where it
remains. Derive an equation for the maximum displacement of the spring if the floor is
frictionless and the spring has a spring constant of k.
Transcribed Image Text:A wooden block of mass 25m sits on a floor attached to a spring in its equilibrium position. A bullet of mass m is fired with a velocity of v into the wooden block, where it remains. Derive an equation for the maximum displacement of the spring if the floor is frictionless and the spring has a spring constant of k.
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