Question

At what height must we go so that the value of g becomes half of what it is
at the surface of the earth?

Answer 1

Answer:

I hope it will help you.

Answer 2

Dear Student,

◆ Answer -

h = 2650 km

● Explaination -

Acceleration due ti gravity at height h is given by formula -

g' = gR² / (R+h)²

For g' = g/2,

g/2 = gR² / (R+h)²

1/2 = R² / (R+h)²

1/√2 = R / (R+h)

R + h = √2R

h = √2R - R

h = (√2-1) R

Substitute R = 6.4×10^6 m

h = (1.414-1) 6.4×10^6

h = 2.65×10^6 m

h = 2650 km

Therefore, we must go 2650 km above earths surface to get half gravity as that at surface.

Hope this helps you...