What is the gravitational field strength at a distance of 3R from the center of

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Question: What is the gravitational field strength at a distance of 3R from the center of a planet of mass M and radius R?

Options:

Correct Answer: G*M/(9R²)

Solution:

g = GM/r², at 3R, g = GM/(3R)² = GM/9R².

What is the gravitational field strength at a distance of 3R from the center of a planet of mass M and radius R?

What is the gravitational field strength at a distance of 3R from the center of a planet of mass M and radius R?

Step 1: Understand the formula for gravitational field strength, which is g = GM/r², where G is the gravitational constant, M is the mass of the planet, and r is the distance from the center of the planet.
Step 2: Identify the distance from the center of the planet. In this case, the distance is 3R, where R is the radius of the planet.
Step 3: Substitute the distance into the formula. Replace r with 3R in the formula: g = GM/(3R)².
Step 4: Calculate (3R)². This equals 9R².
Step 5: Substitute 9R² back into the formula: g = GM/9R².
Step 6: The final expression for gravitational field strength at a distance of 3R from the center of the planet is g = GM/9R².

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