From what height above the Earth should an object be dropped to experience an initial acceleration of 0.92g? (where in this case g= 9.8 m/s^2)

Question

From what height above the Earth should an object be dropped to experience an initial acceleration of 0.92g? (where in this case g= 9.8 m/s^2)

Im just so confused, what.

Answer 1

Use the equation for gravitational force F=GmM/r² where m is the mass of the object, is the mass of the earth, r is the radius of the earth. Let mg = GmM/ (r+h)² where h is the height from which the object is to be dropped.

Then g = GM/(r+h)² and solve for h where g = .92g (r+h)² =GM/.92g and h =√(GM/.92g) -r plug in the values for G,M,r and g and solve for h.