Gravitational Portential Energy near the ground? A motorcycle stunt person attem

Question

Gravitational Portential Energy near the ground?

A motorcycle stunt person attempts to jump across a wide chasm as represented below. Let coordinate system "A" have its origin at the motorcyclists initial position with the positive vertical direction measured upwards. Let coordinate system "B" have its origin at the motorcyclists final position with the positive vertical direction measured upward. Let coordinate system "C" have the origin at the initial position of the motorcyclist with its positive direction measured downward. Complete the following table for the gravitational potential energy of the motorcyclist.

Explanation / Answer

as we know potential energy of the system depends upon it's frame of refrence so if we change the origin or change the potential energy measurment system. This will automatically change the potential energy at all point but the magnitude of the change in the potential energy will not change however it's change can be negative or positive.

for A-

Ugi = 0

Ugf = - mgh

dU = - mgh

for B -

Ugi = mgh'

Ugf = 0

dU = - mgh

for C-

Ugi = 0

Ugf = mgh

dU = mgh

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