Question

From what height (in kilometers) off the surface of Earth should an object be dropped to initially experience an acceleration of 0.54 g?

Answer 1

r = 8675867.3 m above the earth's surface

Step-by-step explanation:

let M be the mass of earth, g be the acceleration of gravity and r be the distance of the object above the surface of the earth.

the acceleration of gravity is given by:

g = GM/(r^2)

then

r^2 = GM/g

r = \sqrt{GM/g}

= \sqrt{(6.67×10^-11)(5.972×10^24)/(0.54×9.8)}

= 8675867.3 m

Therefore, for object ot experience an acceleration of 0.54g it should be dropped at a height of 8675867.3 meters above the surface of the earth.