Answer:
The value of g at a distance of twice the Earth's radius is approximately 2.45 m/s^2."
Explanation:
\\\\1. Start with the given value of g at the Earth's surface: g = 9.8 m/s^2.\\2. Use the formula g = GM / R^2, where G is the gravitational constant, M is the mass of the Earth, and R is the radius of the Earth.\\3. Substitute 2R for the distance in the formula to find g' at a distance of twice the Earth's radius.\\4. Simplify the expression to g' = (1/4) * g.\\5. Substitute the value of g as 9.8 m/s^2 to find g' = (1/4) * 9.8 m/s^2.\\6. Calculate g' to get approximately 2.45 m/s^2.\\\\Therefore, the value of g at a distance of twice the Earth's radius is approximately 2.45 m/s^2."