Acceleration of gravity on an unknown planet.

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SUMMARY

The discussion centers on calculating the acceleration of gravity on an unknown planet, given a 92 kg man's weight of 189 Newtons. The relevant formula is F = mg, where F is the weight (189 N), m is the mass (92 kg), and g is the acceleration due to gravity. By rearranging the formula, g can be determined as g = F/m, resulting in an acceleration of approximately 2.05 m/s² on this unknown planet. The confusion regarding the gravitational constant G and the distance from the planet's center is clarified, emphasizing the simplicity of using the weight formula.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the formula for weight (F = mg)
  • Basic knowledge of gravitational force concepts
  • Ability to perform unit conversions and calculations
NEXT STEPS
  • Research the implications of varying gravitational forces on human physiology
  • Explore the concept of gravitational acceleration on different celestial bodies
  • Learn about the gravitational constant (G) and its applications in astrophysics
  • Investigate methods for measuring gravitational acceleration in experimental physics
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Students in physics, educators teaching gravitational concepts, and anyone interested in the effects of gravity on different planets.

flysae
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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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