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Social ScienceA bag of sugar weighs 1.50 lb on Earth. What would it weigh in newtons on the Moon, where the free-fall acceleration is one-sixth that on Earth? Repeat for Neptune, where g is 1.44 times that on Earth. Find the mass of the bag of sugar in kilograms at each of the three locations.(earth, moon, neptune)
A bag of sugar weighs 1.50 lb on Earth. What would it weigh in newtons on the Moon, where the free-fall acceleration is one-sixth that on Earth?
Repeat for Neptune, where g is 1.44 times that on Earth.
Find the mass of the bag of sugar in kilograms at each of the three locations.(earth, moon, neptune)
Expert Answer
Let the mass of the sugar bag be denoted by m.
Let the weight of the sugar bag on the earth be denoted by W
From the data given in the problem,
Weight of the bag of sugar on the moon denoted as Wm when the acceleration due to gravity there is 1/6 times that of the Earth is given by,
Substitute 0.68 kg for m, 9.81 m/s2 for g and solve for Wm...
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(0.68kg)(9.8m/s W 1lb =1.112N 4.45N = 0.2498 1b
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