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Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli
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An object with mass 3.0 kg is attached to a spring with

Chapter 5, Problem 13P

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QUESTION:

Problem 13P

An object with mass 3.0 kg is attached to a spring with spring stiffness constant k = 280 N/m and is executing simple harmonic motion. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.55 m/s. (a) Calculate the amplitude of the motion. (b) Calculate the maximum velocity attained by the object. [Hint: Use conservation of energy.]

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QUESTION:

Problem 13P

An object with mass 3.0 kg is attached to a spring with spring stiffness constant k = 280 N/m and is executing simple harmonic motion. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.55 m/s. (a) Calculate the amplitude of the motion. (b) Calculate the maximum velocity attained by the object. [Hint: Use conservation of energy.]

ANSWER:

Step 1 of 3

(a)

The total energy of an object in SHM is constant. When the position is at the amplitude, the speed is zero. Use that relationship to find the amplitude.

                                                            

Now find the value of  from the above equation;

                                                           

 

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