What is the gravitational force acting on a satellite of mass m in orbit at a he

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Question: What is the gravitational force acting on a satellite of mass m in orbit at a height h above the Earth\'s surface?

Options:

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

Solution:

The gravitational force acting on a satellite in orbit is given by F = GmM/(R+h)^2, where R is the radius of the Earth.

What is the gravitational force acting on a satellite of mass m in orbit at a height h above the Earth's surface?

What is the gravitational force acting on a satellite of mass m in orbit at a height h above the Earth's surface?

Step 1: Understand that the gravitational force is the force that pulls objects towards each other, in this case, the Earth and the satellite.
Step 2: Identify the variables: m is the mass of the satellite, M is the mass of the Earth, R is the radius of the Earth, and h is the height of the satellite above the Earth's surface.
Step 3: Recognize that the distance from the center of the Earth to the satellite is R + h (the radius of the Earth plus the height of the satellite).
Step 4: Use the formula for gravitational force, which is F = G * (m * M) / (R + h)^2, where G is the gravitational constant.
Step 5: Substitute the known values into the formula to calculate the gravitational force acting on the satellite.

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