You are given a magical spring which has an odd restoring force, F = -kx', THIS IS NOT THE TYPICAL SPRING RESTORING FORCE (remember, this is a magical, supernatural spring!) calculate: a) The work done by an external force stretching the spring a distance L away from the equilibrium length. b) At a stretch length L, how much potential energy is stored in the spring? c) If a mass m is attached to the spring and released from a stretch length L, what is the maximum velocity of the mass? d) At what x coordinate does this maximum velocity occur?

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You are given a magical spring which has an odd restoring force, F = -kx', THIS IS NOT THE TYPICAL SPRING
RESTORING FORCE (remember, this is a magical, supernatural spring!) calculate:
a) The work done by an external force stretching the spring a distance L away from the equilibrium length.
b) At a stretch length L, how much potential energy is stored in the spring?
c) If a mass m is attached to the spring and released from a stretch length L, what is the maximum velocity
of the mass?
d) At what x coordinate does this maximum velocity occur?
Transcribed Image Text:You are given a magical spring which has an odd restoring force, F = -kx', THIS IS NOT THE TYPICAL SPRING RESTORING FORCE (remember, this is a magical, supernatural spring!) calculate: a) The work done by an external force stretching the spring a distance L away from the equilibrium length. b) At a stretch length L, how much potential energy is stored in the spring? c) If a mass m is attached to the spring and released from a stretch length L, what is the maximum velocity of the mass? d) At what x coordinate does this maximum velocity occur?
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