A 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-spring system is then placed into simple harmonic motion. The figure shows a graph of the velocity of the block as a function of time. At which of the following times does the block-spring system have maximum spring potential energy? A.1.5 s B.2.5 s C.2 s D.4.5 s
A 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-spring system is then placed into simple harmonic motion. The figure shows a graph of the velocity of the block as a function of time. At which of the following times does the block-spring system have maximum spring potential energy? A.1.5 s B.2.5 s C.2 s D.4.5 s
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Question
A 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-spring system is then placed into simple harmonic motion. The figure shows a graph of the velocity of the block as a function of time.
At which of the following times does the block-spring system have maximum spring potential energy?
A.1.5 s
B.2.5 s
C.2 s
D.4.5 s
Expert Solution
Step 1
The total energy is the sum of the kinetic energy plus the potential energy and it is constant.
The potential energy is maximum when the speed is zero. Let v be defined as the speed.
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