In the figure, a spring with spring constant k is at the top of a frictionless incline of angle 0. The lower end of the incline is distance D from the end of the spring, which is at its relaxed length. A mass m canister is pushed against the spring until the spring is compressed x distance and released from rest. By considering PE is zero at the lower end of the incline what is the total energy at the initial compressed position?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 19P: A light spring with spring constant 1 200 N/m is hung from an elevated support. From its lower end...
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In the figure, a spring with spring constant k is at the top of a frictionless incline of angle 0. The lower end of the incline is distance D
from the end of the spring, which is at its relaxed length. A mass m canister is pushed against the spring until the spring is
compressed x distance and released from rest. By considering PE is zero at the lower end of the incline what is the total energy at the
initial compressed position?
D
E = mgDsine + mgxsine +kx²+m
1
E = mgDcose + mgxcos@ +
E = mgDsine +mgxsin@ +kx2
1
E= mgDsine +kx²+mv2
Transcribed Image Text:In the figure, a spring with spring constant k is at the top of a frictionless incline of angle 0. The lower end of the incline is distance D from the end of the spring, which is at its relaxed length. A mass m canister is pushed against the spring until the spring is compressed x distance and released from rest. By considering PE is zero at the lower end of the incline what is the total energy at the initial compressed position? D E = mgDsine + mgxsine +kx²+m 1 E = mgDcose + mgxcos@ + E = mgDsine +mgxsin@ +kx2 1 E= mgDsine +kx²+mv2
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