What is the gravitational field strength at the surface of a planet of mass M an

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Question: What is the gravitational field strength at the surface of a planet of mass M and radius R?

Options:

Correct Answer: GM/R^2

Solution:

The gravitational field strength g at the surface of a planet is given by g = GM/R^2.

What is the gravitational field strength at the surface of a planet of mass M and radius R?

What is the gravitational field strength at the surface of a planet of mass M and radius R?

Step 1: Understand that the gravitational field strength (g) is a measure of the force of gravity experienced by an object at the surface of a planet.
Step 2: Recognize that the formula for gravitational field strength is derived from Newton's law of universal gravitation.
Step 3: Identify the variables in the formula: G is the gravitational constant, M is the mass of the planet, and R is the radius of the planet.
Step 4: Write down the formula for gravitational field strength: g = GM/R^2.
Step 5: Substitute the values of M (mass of the planet) and R (radius of the planet) into the formula to calculate g.

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