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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)

Sagot :

Xero099idn

Answer:

The mass of the ball is 1.360 kilograms.

Explanation:

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

[tex]m = \frac{U}{g\cdot h}[/tex] (1)

If we know that [tex]U = 1000\,J[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] and [tex]h = 75\,m[/tex], then the mass of the ball is:

[tex]m = \frac{U}{g\cdot h}[/tex]

[tex]m = 1.360\,kg[/tex]

The mass of the ball is 1.360 kilograms.

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