Question

At a height \( h \) above the Earth's surface, the acceleration due to gravity becomes \( \frac{g}{\sqrt{3}} \). What is the value of \( h \) in terms of the Earth's radius \( R \)?

• A. \( R \)
• B. \( \sqrt{2}R \)
• C. \( 2R \)
• D. \( \frac{R}{2} \)

Hint:

When working with gravitational problems involving height above the Earth's surface, remember to use the formula for gravity variation with height: \( g_h = \frac{g}{(1 + \frac{h}{R})^2} \).