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AWhat will an object weigh on the Moon's surface if it weighs 500 N on Earth's surface? (b) How many Earth radii must this same object be from the center of Earth if it is to weigh the same as it does on the Moon?

Alright, I know how to do part a. but I'm having issues on figuring out how to do part b. Please help!

Verified Answer :

taskmasters

first we must know the acceleration due to gravity in earth and in moon.
the g in earth equal to 9.8 m/s^2 while in moon is 1.6 m/s^2

first calculate the mass of the object first
w = mg
500 = m (9.81)
m = 500 / 9.81
m = 50.97 kg

weight on the surface of the moon
w = mg
w = (50.97) (1.6)
w = 81.55 N

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