If the mass of the Earth is M and the radius is R, what is the gravitational for

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Question: If the mass of the Earth is M and the radius is R, what is the gravitational force acting on a satellite of mass m at a height h?

Options:

Correct Answer: GmM/(R+h)^2

Solution:

The gravitational force F acting on a satellite at height h is given by F = GmM/(R+h)^2, where G is the gravitational constant.

If the mass of the Earth is M and the radius is R, what is the gravitational force acting on a satellite of mass m at a height h?

If the mass of the Earth is M and the radius is R, what is the gravitational force acting on a satellite of mass m at a height h?

Step 1: Understand that the gravitational force depends on the masses involved and the distance between them.
Step 2: Identify the mass of the Earth as M and the mass of the satellite as m.
Step 3: Recognize that the radius of the Earth is R and the height of the satellite above the Earth's surface is h.
Step 4: Calculate the total distance from the center of the Earth to the satellite, which is R + h.
Step 5: Use the formula for gravitational force, which is F = G * (mass1 * mass2) / (distance^2). Here, mass1 is M (mass of Earth), mass2 is m (mass of satellite), and distance is (R + h).
Step 6: Substitute the values into the formula: F = G * m * M / (R + h)^2.

Gravitational Force – The force of attraction between two masses, calculated using Newton's law of universal gravitation.
Height Above Earth's Surface – Understanding how the distance from the center of the Earth affects gravitational force.
Gravitational Constant – A proportionality factor in the equation for gravitational force, denoted as G.