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20 Nov 2019

A horizontal spring is lying on a frictionless surface. One endofthe spring is attached to a wall whle the other end is connectedtoa movable object. The spring and object are compressed by0.074 m,released from rest, andsubsequently oscillate back and forth withan angular frequency of11.6 rad/s. What is the speed of theobjectat the instant when the spring is stretched by 0.041 m relative toits unstrained length?
____________ m/s

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Irving Heathcote
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13 Feb 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A horizontal spring is lying on a frictionless surface. Oneendof the spring is attaches to a wall while the other endisconnected to a movable object. The spring and object arecompressedby 0.056 m, released from rest, and subsequentlyoscillate back andforth with an angular frequency of 16.8 rad/s.What is the speed ofthe object at the instant when the spring isstretched by0.035 m relative to its unstrained length?

A 2.00-kg object is attached to a spring and placed on a frictionless, horizontal surface. A horizontal force of 20.0 N is required to hold the object at rest when it is pulled 0.200 m from its equilibrium position (the origin of the x axis). The object is now released from rest from this stretched position, and it subsequently undergoes simple harmonic oscillations. Find (a) the force constant of the spring, (b) the frequency of the oscillations, and (c) the maximum speed of the object. (d) Where does this maximum speed occur? (e) Find the maximum acceleration of the object. (f) Where does the maximum acceleration occur? (g) Find the total energy of the oscillating system. 

A 2.00-kg object is attached to a spring and placed on a frictionless, horizontal surface. A horizontal force of 20.0 N is required to hold the object at rest when it is pulled 0.200 m from its equilibrium position (the origin of the x-axis). The object is now released from rest from this stretched position, and it subsequently undergoes simple harmonic oscillations. Find

(a) the force constant of the spring,

(b) the frequency of the oscillations, and

(c) the maximum speed of the object.

(d) Where does this maximum speed occur?

(e) Find the maximum acceleration of the object.

(f) Where does the maximum acceleration occur?

(g) Find the total energy of the oscillating system.

Find (h) the speed and (i) the acceleration of the object when its position is equal to one-third the maximum value.

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