Mickey, a daredevil mouse of mass M, is attempting to become the world's first "mouse cannonball." He is loaded into a spring-powered gun pointing up at some angle, and is shot into the air. The gun's spring has force constant k and is initially compressed a distance L from its relaxed position. If Mickey has a constant horizontal speed v while he is flying through the air, how high above his initial location in the gun does Mickey soar? Find an expression for Mickey's maximum height hm in terms of M, v, L, k, and g. (kL² sin² o) 2gM

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter3: Oscillations
Section: Chapter Questions
Problem 3.9P: A particle of mass m is at rest at the end of a spring (force constant = k) hanging from a fixed...
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Mickey, a daredevil mouse of mass M, is attempting to become the world's first "mouse cannonball." He is loaded into a
spring-powered gun pointing up at some angle, and is shot into the air. The gun's spring has force constant k and is initially
compressed a distance L from its relaxed position. If Mickey has a constant horizontal speed v while he is flying through the
air, how high above his initial location in the gun does Mickey soar? Find an expression for Mickey's maximum height hm in
terms of M, v, L, k, and g.
(kL² sin² o)
2gM
Transcribed Image Text:Mickey, a daredevil mouse of mass M, is attempting to become the world's first "mouse cannonball." He is loaded into a spring-powered gun pointing up at some angle, and is shot into the air. The gun's spring has force constant k and is initially compressed a distance L from its relaxed position. If Mickey has a constant horizontal speed v while he is flying through the air, how high above his initial location in the gun does Mickey soar? Find an expression for Mickey's maximum height hm in terms of M, v, L, k, and g. (kL² sin² o) 2gM
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