Planet P has a rocky surface and a radius of 9250 km. At height h above the surf

Question

Planet P has a rocky surface and a radius of 9250 km. At height h above the surface, the gravitational acceleration is 58.8 percent of its value at the surface. What is h? Planet P has a rocky surface and a radius of 9250 km. At height h above the surface, the gravitational acceleration is 58.8 percent of its value at the surface. What is h? Planet P has a rocky surface and a radius of 9250 km. At height h above the surface, the gravitational acceleration is 58.8 percent of its value at the surface. What is h?

Explanation / Answer

Given R = 9250000 m

g' = 0.588 * g

the variation g with height is given by

g'/g = 1 - 2h/R

0.588 = 1 - (2h / 9250000)

h = 1905.5 km

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