A 0.420-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic m amplitude of 10.4 cm. (Assume the position of the object is at the origin at t = 0.) (a) Calculate the maximum value of its speed. 45.4 cm/s (b) Calculate the maximum value of its acceleration.

Principles of Physics: A Calculus-Based Text
5th Edition
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Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Oscillatory Motion
Section: Chapter Questions
Problem 13P: A 500-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic...
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A 0.420-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an
amplitude of 10.4 cm. (Assume the position of the object is at the origin at t = 0.)
(a) Calculate the maximum value of its speed.
45.4
cm/s
(b) Calculate the maximum value of its acceleration.
198
cm/s?
(c) Calculate the value of its speed when the object is 8.40 cm from the equilibrium position.
26.8
cm/s
(d) Calculate the value of its acceleration when the object is 8.40 cm from the equilibrium position.
| cm/s²
(e) Calculate the time interval required for the object to move from x = 0 to x = 2.40 cm.
Transcribed Image Text:A 0.420-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of 10.4 cm. (Assume the position of the object is at the origin at t = 0.) (a) Calculate the maximum value of its speed. 45.4 cm/s (b) Calculate the maximum value of its acceleration. 198 cm/s? (c) Calculate the value of its speed when the object is 8.40 cm from the equilibrium position. 26.8 cm/s (d) Calculate the value of its acceleration when the object is 8.40 cm from the equilibrium position. | cm/s² (e) Calculate the time interval required for the object to move from x = 0 to x = 2.40 cm.
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