Let g0 be the acceleration due to gravity at Earth’s surface, where the mean radius of Earth is RE.
(i) Derive an expression for the acceleration due to gravity gh at a height h above the surface in terms of g0, RE, and h.
(ii) Using your result, calculate the height (in km) at which the acceleration due to gravity decreases by 10% from its surface value.
(iii) A body weighs 600N on the surface. Determine its weight at the height found in part (ii).