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 11.4 cm. (Assume the position of the object is at the origin at t = 0.) (a) Calculate the maximum value of its speed. 0.47 x Have you calculated the angular velocity? You almost always need this quantity for problems involving simple harmonic motion. cm/s (b) Calculate the maximum value of its aceleration. | cm/s² (c) Calculate the value of its speed when the object is 9.40 cm from the equilibrium position. cm/s (d) Calculate the value of its acceleration when the object is 9.40 cm from the equilibrium position. cm/s2 (e) Calculate the time interval required for the object to move from x = 0 to x = 3.40 cm.

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Chapter1: Units, Trigonometry. And Vectors
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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 11.4 cm. (Assume the position
of the object is at the origin at t = 0.)
(a) Calculate the maximum value of its speed.
0.47 x
Have you calculated the angular velocity? You almost always need this quantity for problems involving simple harmonic motion. cm/s
(b) Calculate the maximum value of its acceleration.
| cm/s²
(c) Calculate the value of its speed when the object is 9.40 cm from the equilibrium position.
cm/s
(d) Calculate the value of its acceleration when the object is 9.40 cm from the equilibrium position.
| cm/s²
(e) Calculate the time interval required for the object to move from x = 0 to x = 3.40 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 11.4 cm. (Assume the position of the object is at the origin at t = 0.) (a) Calculate the maximum value of its speed. 0.47 x Have you calculated the angular velocity? You almost always need this quantity for problems involving simple harmonic motion. cm/s (b) Calculate the maximum value of its acceleration. | cm/s² (c) Calculate the value of its speed when the object is 9.40 cm from the equilibrium position. cm/s (d) Calculate the value of its acceleration when the object is 9.40 cm from the equilibrium position. | cm/s² (e) Calculate the time interval required for the object to move from x = 0 to x = 3.40 cm.
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