What is the acceleration due to gravity at a height equal to the radius of the E

What is the acceleration due to gravity at a height equal to the radius of the Earth?

What is the acceleration due to gravity at a height equal to the radius of the Earth?

Step 1: Understand that 'g' is the acceleration due to gravity at the surface of the Earth.
Step 2: Recognize that 'h' is the height above the Earth's surface, and in this case, it is equal to the radius of the Earth (R).
Step 3: Use the formula for gravity at a height: g' = g / (1 + h/R)².
Step 4: Substitute h with R in the formula: g' = g / (1 + R/R)².
Step 5: Simplify the equation: g' = g / (1 + 1)² = g / (2)².
Step 6: Calculate (2)², which is 4: g' = g / 4.
Step 7: Conclude that the acceleration due to gravity at a height equal to the radius of the Earth is g/4.

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