A moon of radius, R moon is orbiting a planet which has a radius, Rplanet. Given Rplanet plus the radius and the period of the moon's circular orbit, it is posible to calculate

1) acceleration of gravity at the surface of both the moon and the planet and the centripetal of the moon at its location

2) acceleration of gravity at the surface of both the moon and the planet

3) acceleration of gravity at the surface of the planet and the centripetal acceleration of the moon at its location

4) acceleration of gravity at the surface of the moon and the centripetal acceleration of the moon at its location

5) acceleration of gravity at the surface of the planet

6) acceleration of gravity at the surface of the moon

7) centripetal acceleration of the moon at its location

Question

Physics

Sydnee Warner

20 August, 14:07

A moon of radius, R moon is orbiting a planet which has a radius, Rplanet. Given Rplanet plus the radius and the period of the moon's circular orbit, it is posible to calculate

1) acceleration of gravity at the surface of both the moon and the planet and the centripetal of the moon at its location

2) acceleration of gravity at the surface of both the moon and the planet

3) acceleration of gravity at the surface of the planet and the centripetal acceleration of the moon at its location

4) acceleration of gravity at the surface of the moon and the centripetal acceleration of the moon at its location

5) acceleration of gravity at the surface of the planet

6) acceleration of gravity at the surface of the moon

7) centripetal acceleration of the moon at its location

+5

Answers (1)

Know the Answer?

Leonard Haynes · Answer 1

Option 1 is correct

Explanation:

Since for a moon to remain in it circular orbit around the planet, centrapetal force would equal to gravitational force between the moon and it's planet.

Using Newton universal law = F = gravitational force = G*M*m / r² you can determine the gravitational acceleration on both surfaces of the moon and the planet

Using the formulae w = 2pai/T

Where w = angular velocity T = period of the moon

Centrepetal force of the moon = m rw²

Equating the two force