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NOTE: Remember, GPE can be negative if

an object is below the reference point!

A 2.24 kg ball is attached to a ceiling by a

1.14 m long string. The height of the room is

3.46 m.The acceleration of gravity is 9.81 m/s^2

What is the gravitational potential energy

associated with the ball relative to

Athe ceiling?
Bthe floor?
Ca point at the same elevation as the ball?

Answer in units of J

Verified Answer :

gravitational potential energy can be calculated using the formula:GPE = mghwhere GPE is the gravitational potential energym is the massg is the acceleration due to gravityh is the height
a) the ceiling
GPE = mghGPE = (2.24 kg) ( 9.81 m/s^2) (-1.14 m)GPE = -25.05 J
b) the floorGPE = mghGPE = (2.24 kg) ( 9.81 m/s^2) (3.46 - 1.14 m)GPE = 50.98 J
c) a point at the same elevation as the ballGPE = mghGPE = (2.24 kg) ( 9.81 m/s^2) (0 m)GPE = 0 J