A 0.520-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of 11.8 cm. (Assume the position of the object is at the origin at t = 0.)

Principles of Physics: A Calculus-Based Text
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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 0.520-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of
11.8 cm. (Assume the position of the object is at the origin at t = 0.)
(a) Calculate the maximum value of its speed.
46.258
cm/s
(b) Calculate the maximum value of its acceleration.
181.323
cm/s
(c) Calculate the value of its speed when the object is 9.80 cm from the equilibrium position.
25.78
cm/s
(d) Calculate the value of its acceleration when the object is 9.80 cm from the equilibrium position.
-150.74
cm/s²
(e) Calculate the time interval required for the object to move from x = 0 to x = 3.80 cm.
Can you use your equation for x(t) to determine the time for the object to first reach 3.80 cm? s
Transcribed Image Text:A 0.520-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of 11.8 cm. (Assume the position of the object is at the origin at t = 0.) (a) Calculate the maximum value of its speed. 46.258 cm/s (b) Calculate the maximum value of its acceleration. 181.323 cm/s (c) Calculate the value of its speed when the object is 9.80 cm from the equilibrium position. 25.78 cm/s (d) Calculate the value of its acceleration when the object is 9.80 cm from the equilibrium position. -150.74 cm/s² (e) Calculate the time interval required for the object to move from x = 0 to x = 3.80 cm. Can you use your equation for x(t) to determine the time for the object to first reach 3.80 cm? s
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