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A ball has 116.62 J of gravitational potential energy at a height of 85 m. What is the mass of the ball?

a.0.14 kg
b.0.37 kg
c.11.9 kg
d.21.82 kg

User Leemeichin
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2 Answers

6 votes
The answer is a. 0.14 kg

PE = mgh
116.62 = m•(9.8)•(85)
m = 116.62/(9.8•85)
= 0.14 kg
User Sparkup
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7.5k points
5 votes

Answer:

a)0,14 kg

Step-by-step explanation:

Formula to calculate the gravitational potential energy:

U= m *g*h : equation (1)

U: It's gravitational potential energy in Joules (J)

m: body mass in kilograms (kg)

g= the acceleration of gravity (
m/s^(2))

h= the body heigt measured from the floor (m)

Known information:

U= 116.62 J

g = 9.8
m/s^(2)

h =85m

mass calculation:

We replace the known information in equation 1 :

116.62 = m*9.8*85

m =116.62/(9.8*85)

m= 0,14 kg

The mass of the ball is 0,14 kg

User Williham Totland
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8.9k points