A 2 kg block on a horizontal surface is attached to a horizontal spring of negligible mass. The other end of the spring is attached to a wall, and there is negligible friction between the block and the horizontal surface. The block is released from rest after the spring is stretched such that the block-spring system experiences simple harmonic motion, as shown in the graph that represents the block's velocity as a function of time.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 15P: A block of mass m = 2.00 kg is attached to a spring of force constant k = 500 N/m as shown in Figure...
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Multiple Choice Question 7

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Time (s)
A 2 kg block on a horizontal surface is attached to a horizontal spring of negligible mass. The other end of the
spring is attached to a wall, and there is negligible friction between the block and the horizontal surface. The
block is released from rest after the spring is stretched such that the block-spring system experiences simple
harmonic motion, as shown in the graph that represents the block's velocity as a function of time.
LO
Velocity (m/s)
Transcribed Image Text:-5 1 2 3 4 5 6. 7 8 10 11 12 Time (s) A 2 kg block on a horizontal surface is attached to a horizontal spring of negligible mass. The other end of the spring is attached to a wall, and there is negligible friction between the block and the horizontal surface. The block is released from rest after the spring is stretched such that the block-spring system experiences simple harmonic motion, as shown in the graph that represents the block's velocity as a function of time. LO Velocity (m/s)
How could a student use the known information and the graph to determine the magnitude of the change in
spring potential energy of the system from the release point of the block to the moment when the system's
spring potential energy is zero?
A
By determining the kinetic energy of the block at 8 s by using K
By determining the kinetic energy of the block at 2 s by using K =
By determining the kinetic energy of the block at 2 s and 6 s by using K
mv and adding
the two values of kinetic energy together.
By determining the kinetic energy of the block at 2 s and 6 s by using K
D
mv?, subtracting
the two values of kinetic energy, and determining the magnitude of the result.
Transcribed Image Text:How could a student use the known information and the graph to determine the magnitude of the change in spring potential energy of the system from the release point of the block to the moment when the system's spring potential energy is zero? A By determining the kinetic energy of the block at 8 s by using K By determining the kinetic energy of the block at 2 s by using K = By determining the kinetic energy of the block at 2 s and 6 s by using K mv and adding the two values of kinetic energy together. By determining the kinetic energy of the block at 2 s and 6 s by using K D mv?, subtracting the two values of kinetic energy, and determining the magnitude of the result.
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