A 20-kg object weighs 195 N on the top of a mountain. What is the force of gravity on this object?

Asked Dec 10, 2013
Newtons (N) is a unit of force, so the answer is right there in the problem: 195 N. I'm guessing, though, that you might have misunderstood the question. The question probably asked "What is the acceleration due to gravity on this object?" In order to answer this question, you would use the formula F=m*a. That's force equals mass times acceleration.

You know the force (195 N) and you know the mass (20 kg), so you just solve for a. That would be a = F/m. So, a = 195 N / 20 kg = 9.75 meters per second squared.

Acceleration due to gravity at sea level is about 9.8 m/s^2. The reason this is a little bit lower is because it is on a mountain which is farther away from the center of the earth, so the pull of gravity is lower there.
Answered Dec 10, 2013

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