Physics Questions: Changes in Gravitational Force and Orbital Speed

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The discussion focuses on the effects of changes in distance and mass on gravitational force and orbital speed, specifically referencing Newton's law of universal gravitation and centripetal force. When the distance between the Earth and the Moon is tripled while the Earth's mass is also tripled, the gravitational force decreases by a factor of 6. Additionally, when a satellite's separation from the Earth's surface is doubled, its orbital speed decreases by a factor of sqrt(2). These conclusions are derived from established physical laws.

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If the distance between the Earth and the Moon were tripled and the mass of the Earth was tripled, what would happen to the gravitational force between them?

a)Remains the same
b)Increase by a factor of 3
c)Increase by a factor of 9
d)Decrease by a factor of 3
e)Decrease by a factor of 6

The booster motors on a satellite were used to increase its separation from the surface of the Earth by a factor of two. What happens to its orbital speed?

Remains the same
Increases by a factor of two
Increases by a factor of sqrt(2)
Decreases by a factor of sqrt(2)
Decreases by a factor of two
None of the above

I did most questions and just left out these two. hope someone can help me out. thanks. please explain the reason.
 
Physics news on Phys.org
Do you know Newton's law for gravitational force? The 2nd problem requires a formula for the orbital speed based on the centripetal force law. Check your notes for those and if you're still having problems, post back and show some work.
 

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