Question

find the expression for acceleration due to gravity at a height h above the Earth surface.

Answer 1

You have a formula,

gh=g[1−(2h/R)]gh=g[1−(2h/R)]

Where, gh=gravity at height h meters.

Now, you just need to put all the values given and change gh according to the relation provided.

The question says, gh is 96% less than g, or we can also say it as, GH is 4% that of g. Now put GH=4% of g.

You get an equation,

h=[1−0.04]R/2h=[1−0.04]R/2

Solve the equation to find h and you will get the height at which the gravity will become 96% less.

Hope this answer helps you.