A 205 g object is attached to a spring that has a force constant of 74.5 N/m. The object is pulled 6.25 cm to the right ofequilibrium and released from rest to slide on a horizontal, frictionless table.Calculate the maximum speed Umax of the object.Find the locations of the object when its velocity is one-third of the maximum speed. Treat the equilibrium position as zero,positions to the right as positive, and positions to the left as negative.position:Umax =cmposition:m/scm

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Description: A 205 g object is attached to a spring that has a force constant of 74.5 N/m. The object is pulled 6.25 cm to the right ofequilibrium and released from rest to slide on a horizontal, frictionless table.Calculate the maximum speed Umax of the object.

Given: Mass of object is m=205 g Force constant of spring is k=74.5 N/m Maximum distance moved or…

Answered: object is attached to a spring that has…

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object is attached to a spring that has a force constant of 74.5 N/m.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter16: Oscillations

Section: Chapter Questions

Problem 11PQ: A 1.50-kg mass is attached to a spring with spring constant 33.0 N/m on a frictionless, horizontal...

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Concept explainers

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.

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Question

A 205 g object is attached to a spring that has a force constant of 74.5 N/m. The object is pulled 6.25 cm to the right of
equilibrium and released from rest to slide on a horizontal, frictionless table.
Calculate the maximum speed Umax of the object.
Find the locations of the object when its velocity is one-third of the maximum speed. Treat the equilibrium position as zero,
positions to the right as positive, and positions to the left as negative.
position:
Umax =
cm
position:
m/s
cm

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