What Are the Correct SI Units for the Gravitational Constant G?

In summary, the SI units of the proportionality constant G in Newton's law of universal gravitation are m^3/(kg*s^2).
  • #1
ramin86
42
0
I'm stuck on the following question:

Newton's law of universal gravitation is represented by the following equation.
F = GMm/r2

Here F is the magnitude of the gravitational force exerted by one small object on another, M and m are the masses of the objects, and r is a distance. Force has the SI units kg · m/s2. What are the SI units of the proportionality constant G?

Not sure of what to do, please help
 
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  • #2
ramin86 said:
I'm stuck on the following question:

Newton's law of universal gravitation is represented by the following equation.
F = GMm/r2

Here F is the magnitude of the gravitational force exerted by one small object on another, M and m are the masses of the objects, and r is a distance. Force has the SI units kg · m/s2. What are the SI units of the proportionality constant G?

Not sure of what to do, please help

Just solve for G:

kg*m/s^2 = G*kg*kg/m^2

What you can do with numbers can also be done with units...
 
  • #3
I solved for G and I get (m/s^2 / kg/m^2) = G, however, its not correct.
 
  • #4
ramin86 said:
I solved for G and I get (m/s^2 / kg/m^2) = G, however, its not correct.
uhh... you didn't even simplify it. so guess what you have to do...
 

FAQ: What Are the Correct SI Units for the Gravitational Constant G?

What is Newton's law of gravitation?

Newton's law of gravitation states that every object in the universe attracts every other object with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

How did Newton come up with this law?

Newton developed this law after observing the motion of objects falling to the ground and realizing that the force that pulls them towards the Earth is the same force that keeps the Moon in orbit around the Earth.

What are the implications of this law?

This law explains why objects fall towards the Earth, why the planets orbit around the Sun, and why the Moon orbits around the Earth. It also allows us to calculate the force of attraction between any two objects in the universe.

Is this law applicable to all objects in the universe?

Yes, this law is applicable to all objects in the universe, regardless of their size or mass. However, it becomes less accurate when dealing with extremely large or extremely small objects, or at high speeds.

Can this law be proven?

No, Newton's law of gravitation cannot be proven as it is a scientific theory based on observations and experiments. However, it has been tested and proven to be accurate in predicting the motion of objects in the universe.

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