A horizontal springwith a spring constant of 25 N/mis lying on a frictionless surface. One end of the spring isattaches to a wall while the other end is connected to a 0.5 kgobject. The spring and object are compressed by0.07m, released from rest, and subsequently oscillate back and forth. a.Calculate the total energy of the system. b.Calculate the kinetic and potential energies of the system when the spring isstretchedby 0.03m. c.What is the speed of the object at the instant when the spring isstretchedby 0.03m relative to its unstrained length?

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter6: Energy Of A System
Section: Chapter Questions
Problem 19P: A light spring with spring constant 1 200 N/m is hung from an elevated support. From its lower end...
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A horizontal springwith a spring constant of 25 N/mis lying on a frictionless surface. One end of the spring isattaches to a wall while the other end is connected to a 0.5 kgobject. The spring and object are compressed by0.07m, released from rest, and subsequently oscillate back and forth.

a.Calculate the total energy of the system.

b.Calculate the kinetic and potential energies of the system when the spring isstretchedby 0.03m.

c.What is the speed of the object at the instant when the spring isstretchedby 0.03m relative to its unstrained length?

d.What is the maximum speed of the object?

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