For your compass, the measured angle between maximum deflection and equilibrium is 58°. Wha percent of the maximum kinetic energy does the needle have when it is only deflected 29° from equilibrium?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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If you shake a magnetic compass e and then set it down, you can watch the needle bounce back and
forth around its equilibrium position. If this motion is unimpeded by friction, it is an example of
simple harmonic motion 2. You may learn more about simple harmonic motion in Phys 1230, but
we'll be seeing another example soon in Unit 8.
In this case, energy is being transferred continually between magnetic potential energy and kinetic
energy, and the energy is conserved if there is no friction. When there is no kinetic energy, the
needle is the maximally deflected and its magnetic potential energy is maximum; when the magnetic
potential energy is minimum, the needle is moving the fastest. Conservation of energy shows that
KE (0) +U (0) = Umax (functions of angle, not multiplication).
For your compass, the measured angle between maximum deflection and equilibrium is 58°. What
percent of the maximum kinetic energy does the needle have when it is only deflected 29° from
equilibrium?
Give your answer as a %.
Transcribed Image Text:If you shake a magnetic compass e and then set it down, you can watch the needle bounce back and forth around its equilibrium position. If this motion is unimpeded by friction, it is an example of simple harmonic motion 2. You may learn more about simple harmonic motion in Phys 1230, but we'll be seeing another example soon in Unit 8. In this case, energy is being transferred continually between magnetic potential energy and kinetic energy, and the energy is conserved if there is no friction. When there is no kinetic energy, the needle is the maximally deflected and its magnetic potential energy is maximum; when the magnetic potential energy is minimum, the needle is moving the fastest. Conservation of energy shows that KE (0) +U (0) = Umax (functions of angle, not multiplication). For your compass, the measured angle between maximum deflection and equilibrium is 58°. What percent of the maximum kinetic energy does the needle have when it is only deflected 29° from equilibrium? Give your answer as a %.
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