5. -14 points OSColPhys1 4.P.006.WA An astronaut weighing 218 Ibs on Earth is on

Question

5. -14 points OSColPhys1 4.P.006.WA An astronaut weighing 218 Ibs on Earth is on a mission to the Moon and Mars. (a) What would he weigh in newtons when he is on the Moon? The acceleration due to gravity on the Moon is one-sixth that on Earth. (b) How much would he weigh in newtons when he is on Mars, where the acceleration due to gravity is 0.38 times that on Earth? (c) What is his mass on Earth? kg (d) Which of the following are true? (Select all that apply.) O His mass on the Moon is exactly equal to his mass on Earth. His mass on the Moon is smaller than his mass on Earth. O His mass on the Moon is greater than his mass on Earth. His mass on Mars is exactly equal to his mass on Earth. His mass on Mars is greater than his mass on Earth. His mass on Mars is smaller than his mass on Earth. Supporting Materials Physical Constants

Explanation / Answer

1 lb = 0.454 kg

1 lb = 4.45 N

part(a)

weight W = m*g

on earth WE = 218 lbs = 218*4.45 = 970.1 N

on Moon Wmoon = WE/6 = 970.1/6 = 161.8 N

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part(b)

Weight on mars Wmars = 0.38*WE = 0.38*970.1 = 368.64 N

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part(c)

mass on earth = 218*0.454 = 99 kg

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part(d)

His mas on moon is exactly equal to his mass on earth

His mass on mars is exactly equal to his mass on earth

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