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A ball resting on a roof 75 meters high has 1000 Joules of gravitational potential energy. Calculate the mass of the ball. (SHOW ALL WORK)

User Kkkkk
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1 Answer

5 votes

Answer:

The mass of the ball is 1.360 kilograms.

Step-by-step explanation:

By Work-Energy Theorem, gravitational potential energy (
U), in joules, is the product of weight of the ball (
W), in newtons, and height (
h), in meters. Please notice that weight is the product of the mass of the ball (
m) and gravitational acceleration (
g), in meters per square second. Then, the formula for the mass of the ball is:


m = (U)/(g\cdot h) (1)

If we know that
U = 1000\,J,
g = 9.807\,(m)/(s^(2)) and
h = 75\,m, then the mass of the ball is:


m = (U)/(g\cdot h)


m = 1.360\,kg

The mass of the ball is 1.360 kilograms.

User Cintu
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