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 the Earth? (R = radius of Earth)

Options:

Correct Answer: g/9

Solution:

Gravitational field strength (g\') = g / (distance^2) = g / (3R)^2 = g / 9.

What is the gravitational field strength at a distance of 3R from the center of the Earth? (R = radius of Earth)

What is the gravitational field strength at a distance of 3R from the center of the Earth? (R = radius of Earth)

Step 1: Understand that 'g' is the gravitational field strength at the surface of the Earth.
Step 2: Recognize that 'R' is the radius of the Earth.
Step 3: Identify that we need to find the gravitational field strength at a distance of 3R from the center of the Earth.
Step 4: Recall the formula for gravitational field strength at a distance: g' = g / (distance^2).
Step 5: Substitute the distance with 3R in the formula: g' = g / (3R)^2.
Step 6: Calculate (3R)^2, which equals 9R^2.
Step 7: Substitute 9R^2 back into the formula: g' = g / 9R^2.
Step 8: Conclude that the gravitational field strength at a distance of 3R from the center of the Earth is g / 9.

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