Near the surface of the Earth (sea level), gravity decreases with height such that linear extrapolation would give zero gravity at a height of one half of the Earth’s radius – (9.8 m·s − 2 per 3,200 km.)
At what height above the surface of Earth is the value of g decreases by 2%?
Answer (2) Acceleration due to gravity above the surface of earth at a height h is given 2 ‘ 1 ⎛ ⎞ ⎜ ⎟ ⎝ ⎠ e h g g R here, g ‘ = 0.98 g 2 0.98 1 e h R 2 0.02 e h R h = 0.01 R = 0.01 × 6400 km = 64 km 17 .
At what height above the surface of Earth is the value of g decreasing?
Near the surface of the Earth (sea level), gravity decreases with height such that linear extrapolation would give zero gravity at a height of one half of the Earth’s radius – (9.8 m·s − 2 per 3,200 km.)