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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

Verified Answer :

djsdoodle

The answer is a. 0.14 kg

PE = mgh
116.62 = m•(9.8)•(85)
m = 116.62/(9.8•85)
= 0.14 kg

valeriagonzalez0213

Answer:

a)0,14 kg

Explanation:

Formula to calculate the gravitational potential energy:

U=  m gh  : 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 = m9.885

m =116.62/(9.8*85)

m= 0,14 kg

The mass of the ball is 0,14 kg  

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