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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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

10-
5+
-5-
-10+
1
3
4
5
Time (s)
Velocity (m/s)
2.
Transcribed Image Text:10- 5+ -5- -10+ 1 3 4 5 Time (s) Velocity (m/s) 2.
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.

T.E.=K.E.+P.E.For Max P.E.,K.E.=012mv2=0v=0

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