A mass m is attached to a spring with spring constant k on a frictionless table. We stretch and release it a distance xo away from the resting position. (a) Sketch the position, velocity, and acceleration plots (time on x-axis). (b) What is the period if: (i) the mass is doubled, (ii) or the spring constant is quadrupled, and (iii) or we double xo but the mass and spring constant remain unchanged? (c) On one plot, sketch the total energy, kinetic energy, and elastic energy with time on the x-axis. (d) When the mass is at the position -20/3, what is the velocity? (e) At what distance will the speed of the mass be half of its maximum speed?
A mass m is attached to a spring with spring constant k on a frictionless table. We stretch and release it a distance xo away from the resting position. (a) Sketch the position, velocity, and acceleration plots (time on x-axis). (b) What is the period if: (i) the mass is doubled, (ii) or the spring constant is quadrupled, and (iii) or we double xo but the mass and spring constant remain unchanged? (c) On one plot, sketch the total energy, kinetic energy, and elastic energy with time on the x-axis. (d) When the mass is at the position -20/3, what is the velocity? (e) At what distance will the speed of the mass be half of its maximum speed?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter39: Relativity
Section: Chapter Questions
Problem 1PQ
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Transcribed Image Text:A mass m is attached to a spring with spring constant k on a frictionless table. We stretch and release it a
distance xo away from the resting position. (a) Sketch the position, velocity, and acceleration plots (time
on x-axis). (b) What is the period if: (i) the mass is doubled, (ii) or the spring constant is quadrupled,
and (iii) or we double xo but the mass and spring constant remain unchanged? (c) On one plot, sketch
the total energy, kinetic energy, and elastic energy with time on the x-axis.
(d) When the mass is at the position -20/3, what is the velocity? (e) At what distance will the speed
of the mass be half of its maximum speed?
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