A mass-spring system oscillates on a frictionless horizontal surface in simple harmonic motion with an amplitude A = 0.2 m. At what position (x = ?) would the kinetic energy of the system be equal to three times its elastic potential energy (K = 3U)? %3D At x = +0.025 m

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter12: Oscillatory Motion
Section: Chapter Questions
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10 N
0.5 N
A traveling wave on a taut string witha tension force T is given by the wave
function: y(x,t) = 0.1sin(4x+100t), wherex and y are in meters and t is
int seconds.
The linear mass density of the string is u = 0.1 Kg/m. If the tension is reduced by a
factor of two, while keeping the same amplitude, same frequency, and doubling
the linear mass density, then the new power of the wave, is
O 250 W
O 1000 W
2000 W
500 W
125 W
Page 2 of 2
Transcribed Image Text:10 N 0.5 N A traveling wave on a taut string witha tension force T is given by the wave function: y(x,t) = 0.1sin(4x+100t), wherex and y are in meters and t is int seconds. The linear mass density of the string is u = 0.1 Kg/m. If the tension is reduced by a factor of two, while keeping the same amplitude, same frequency, and doubling the linear mass density, then the new power of the wave, is O 250 W O 1000 W 2000 W 500 W 125 W Page 2 of 2
O 0.019 kg
A mass-spring system oscillates on a frictionless horizontal surface in simple
harmonic motion with an amplitude A = 0.2 m. At what position (x = ?) would the
%3D
%3D
kinetic energy of the system be equal to three times its elastic potential energy
(K = 3U)?
%3D
O At x = +0.025 m
O At x = +0.1 m
O At x = ±0.05 m
At x = +0.04 m
O At x = t0.08 m
by the wave
Transcribed Image Text:O 0.019 kg A mass-spring system oscillates on a frictionless horizontal surface in simple harmonic motion with an amplitude A = 0.2 m. At what position (x = ?) would the %3D %3D kinetic energy of the system be equal to three times its elastic potential energy (K = 3U)? %3D O At x = +0.025 m O At x = +0.1 m O At x = ±0.05 m At x = +0.04 m O At x = t0.08 m by the wave
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