Gravitational field, density and mass.

AI Thread Summary
The gravitational field strength at the radius of the orbit is influenced by the planet's density and the satellite's mass. If the planet's density is doubled, the gravitational field strength at the satellite's position will increase due to the greater mass of the planet. However, doubling the satellite's mass does not directly double the gravitational force experienced by it, as gravitational force is also dependent on the distance from the center of the planet. The formula for gravitational force, F = Gm1m2/r^2, illustrates that while mass affects force, the relationship is not linear with respect to changes in mass alone. Understanding these relationships is crucial for grasping gravitational dynamics.
lostie100
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A satellite orbits a planet. The gravitational field strength at the radius of the orbit is 12 N/kg. What will the gravitational field strength at the position of the satellite be if
- The planet's density is doubled?
- The satellite's mass is doubled?

I just don't understand their relationship. Any help is appreciated =)
 
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Do you know the formula for gravitational force?
 
F = Gm1m2/r^2
but doubling the mass doesn't double the force.
 

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