Acceleration of gravity on an unknown planet.

AI Thread Summary
To find the acceleration of gravity on the unknown planet, the weight of the man (189 Newtons) can be used with the formula W = mg, where W is weight, m is mass, and g is acceleration due to gravity. Given the man's mass of 92 kg, the equation can be rearranged to find g by dividing the weight by the mass (g = W/m). This results in g = 189 N / 92 kg, which simplifies to approximately 2.05 m/s². The initial confusion regarding the gravitational force formula and the distance from the planet's center is unnecessary for this calculation. Understanding the relationship between weight and acceleration due to gravity simplifies the problem significantly.
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Homework Statement


A 92 kg man weighs 189 Newtons on the surface of an unknown planet. What ist he acceleration of gravity on this planet?

Basically, I thought the formula to finding the gravitational force was
G(gm)/r^2, but I'm missing the distance that the man from the planets center is. I don't know where the 189 Newtons fit in.


Homework Equations


G = (gm)/r^2


The Attempt at a Solution


G = (gm)/r^2
G = (6.67x10^-11nm^2/kg^2)(92kg)/r? What is R? I'm totally lost.

Thank you, appreciate it!
 
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It's simpler than all that. If you knew the value of "g" on the planet, how would you find the weight?
 

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