A block of mass m = 5.00-kg is moving to the right with a speed of v = 2.00 m/s on a horizontal, frictionless surface. The block encounters a relaxed (that is, neither compressed nor extended) spring with spring constant k = 2,000.00 N/m. a. What is the kinetic energy of the block before hitting the spring? b. What is the kinetic energy of the block when the spring is at maximum compression? c. How much energy is stored in the spring at maximum compression? d. How far does the spring compress at its maximum compression? e. If the spring converts its stored energy completely into motion of the block, what is the speed of the block after release from the spring? f. (For this part of the problem, the surface is not frictionless) Suppose the speed of the block after release from the spring is 1.5 m/s to the left, how much work (sign and magnitude) was done by non-conservative forces between the time when the initial velocity is 2.00 m/s and the time when the velocity = -1.50 m/s?

College Physics
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Chapter13: Vibrations And Waves
Section: Chapter Questions
Problem 15P: A horizontal block-spring system with the block on a frictionless surface has total mechanical...
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Classical Mechanics. A block of mass m = 5.00-kg is moving to the right with a speed of v = 2.00 m/s on a horizontal, frictionless surface. The block encounters a relaxed (that is, neither compressed nor extended) spring with spring constant k = 2,000.00 N/m.

a. What is the kinetic energy of the block before hitting the spring?

b. What is the kinetic energy of the block when the spring is at maximum compression?

c. How much energy is stored in the spring at maximum compression?

d. How far does the spring compress at its maximum compression?

e. If the spring converts its stored energy completely into motion of the block, what is the speed of the block after release from the spring?

f. (For this part of the problem, the surface is not frictionless) Suppose the speed of the block after release from the spring is 1.5 m/s to the left, how much work (sign and magnitude) was done by non-conservative forces between the time when the initial velocity is 2.00 m/s and the time when the velocity = -1.50 m/s?

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