Simple problem that i dont know how to do

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SUMMARY

The acceleration due to gravity on a planet with a mass of 5.6x10^25 kg and a radius of 25,000,000 m is calculated using the formula g = G * M / r^2. By substituting the gravitational constant G (6.67x10^-11 N*m^2/kg^2) into the equation, the resulting acceleration is 0.746 m/s^2. This calculation demonstrates the application of Newton's law of universal gravitation to determine gravitational acceleration.

PREREQUISITES
  • Understanding of Newton's law of universal gravitation
  • Familiarity with the gravitational constant (6.67x10^-11 N*m^2/kg^2)
  • Basic algebra for solving equations
  • Knowledge of units of measurement (kg, m, N)
NEXT STEPS
  • Study the derivation and applications of Newton's law of universal gravitation
  • Learn how to perform dimensional analysis in physics calculations
  • Explore gravitational effects on different celestial bodies
  • Investigate the implications of varying gravitational acceleration on planetary environments
USEFUL FOR

Students in physics, educators teaching gravitational concepts, and anyone interested in astrophysics or planetary science will benefit from this discussion.

neiliam
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i have a problem:
a planet has a mass of 5.6x10^25kg. It's radius is 25,000,000 m. what is the acceleration due to gravity?

Um, i haven't had a math course in a good two years, how do i find it?
 
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You do't need a math corse to do some multiplications and one division.

Apply the law of universal gravitational attraction of I.Newton.

Daniel.

PS.The acceleration due to gravity is the gravity force acting on a body of 1Kg.
 


To find the acceleration due to gravity, you can use the formula g = G * M / r^2, where g is the acceleration due to gravity, G is the gravitational constant (6.67x10^-11 N*m^2/kg^2), M is the mass of the planet, and r is the radius of the planet.

In this case, plugging in the values given, we get g = (6.67x10^-11 N*m^2/kg^2) * (5.6x10^25 kg) / (25,000,000 m)^2.

Solving this equation, we get g = 0.746 m/s^2.

So, the acceleration due to gravity on this planet is 0.746 m/s^2.

I hope this helps! It's always a good idea to review some basic math concepts before attempting to solve problems like this. Good luck!
 

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