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If a person weighs 780N on Earth:

a. Determine her weight on a planet whose mass is 150 times greater than earth and whose mass is 5 times that of the Earth’s.
b. What is the acceleration due to gravity on this planet?
c. What is the person’s mass on this planet?

User Shiney
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1 Answer

5 votes

Answer:

a. 4680 N

b. 58.8 m/s²

c. 79.6 kg

Step-by-step explanation:

I'm guessing that the mass is 150 times greater, and the radius is 5 times greater.

The force due to gravity of a planet is:

F = GMm / r²

where G is the universal gravitational constant

M is the mass of the planet

m is the mass of the object

and r is the distance between the object and the center of the planet

On Earth, the person's weight is 780 N:

780 = GMm / r²

On the new planet, the weight is:

F = G (150M) m / (5r)²

F = 6 GMm / r²

F = 6 (780)

F = 4680 N

b. Her weight is 6 times that of her Earth weight, so the acceleration due to gravity must be 6 times greater than Earth's.

6 × 9.8 = 58.8 m/s²

c. Her mass is the same on both planets.

m = F/g = 780 / 9.8 = 79.6 kg.

User Weinde
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