A compact, dense object with a mass of 4.10 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The object is pulled to a distanceof 0.200 m from its equilibrium position, held in place with a force of 29.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The objectoscillates along the x-axis, where x =O is the equilibrium position.)(a) What is the spring constant (in N/m)?N/m(b) What is the frequency of the oscillations (in Hz)?Hz(c) What is the maximum speed of the object (in m/s)?m/s(d) At what position(s) (in m) on the x-axis does the maximum speed occur?X = +(e) What is the maximum acceleration of the object? (Enter the magnitude in m/s2.)m/s?(f) At what position(s) (in m) on the x-axis does the maximum acceleration occur?X = ±m(g) What is the total mechanical energy of the oscillating spring-object system (in J)?(h) What is the speed of the object (in m/s) when its position is equal to one-third of the maximum displacement from equilibrium?m/s(i)What is the magnitude of the acceleration of the object (in m/s) when its position is equal to one-third of the maximum displacement from equilibrium?m/s?

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A compact, dense object with a mass of 4.10 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The object is pulled to a distance of 0.200 m from its equilibrium position, held in place with a force of 29.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The object oscillates along the x-axis, where x = 0 is the equilibrium position.) (a) What is the spring constant (in N/m)? N/m (b) What is the frequency of the oscillations (in Hz)? Hz (c) What is the maximum speed of the object (in m/s)? m/s

A compact, dense object with a mass of 4.10 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The object is pulled to a distance of 0.200 m from its equilibrium position, held in place with a force of 29.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The object oscillates along the x-axis, where x = 0 is the equilibrium position.) (a) What is the spring constant (in N/m)? N/m (b) What is the frequency of the oscillations (in Hz)? Hz (c) What is the maximum speed of the object (in m/s)? m/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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 compact, dense object with a mass of 4.10 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The object is pulled to a distance
of 0.200 m from its equilibrium position, held in place with a force of 29.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The object
oscillates along the x-axis, where x =
O is the equilibrium position.)
(a) What is the spring constant (in N/m)?
N/m
(b) What is the frequency of the oscillations (in Hz)?
Hz
(c) What is the maximum speed of the object (in m/s)?
m/s
(d) At what position(s) (in m) on the x-axis does the maximum speed occur?
X = +
(e) What is the maximum acceleration of the object? (Enter the magnitude in m/s2.)
m/s?
(f) At what position(s) (in m) on the x-axis does the maximum acceleration occur?
X = ±
m
(g) What is the total mechanical energy of the oscillating spring-object system (in J)?
(h) What is the speed of the object (in m/s) when its position is equal to one-third of the maximum displacement from equilibrium?
m/s
(i)
What is the magnitude of the acceleration of the object (in m/s) when its position is equal to one-third of the maximum displacement from equilibrium?
m/s?

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