The graph below shows the potential energy diagram for an object with a mass of

Question

The graph below shows the potential energy diagram for an object with a mass of 1 kg. If the object is initially at 1 meter and is moving at a speed of 1 m/s to the right, how fast will it be moving when it is at 3 meters?

The graph below shows the potential energy diagram for an object with a mass of 1 kg. If the object is initially at 1 meter and is moving at a speed of 1 m/s to the right, how fast will it be moving when it is at 3 meters?

Hint: Compute the initial kinetic energy of the object, and the change in potential energy between the two locations. Determine the final kinetic energy and the resulting speed.

Explanation / Answer

at x = 1 , PE = 2 J and KE = (0.5) m v2 = (0.5) (1) (1)2 = 0.5 J

at x = 3 , PE = 1 J and KE = ?

using conservation of energy

PEi + KEi = PEf + KEf

2 + 0.5 = 1 + KEf

KEf = 1.5 J

also KEf = (0.5) m Vf2

1.5 = (0.5) (1) Vf2

Vf = 1.73 m/s

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