Question

How far from the earth's surface must an astronaut in space be if she is to feel a gravitational acceleration that is half, what she would feel on the earth surface ?​

Answer 1

Correct option is

E

2

R

Earth

−R

Earth

Let the radius of earth be R

Earth

and acceleration due to gravity at the surface be g.

Thus acceleration due to gravity at a height h above the surface g

′

=g

(R

Earth

+h)

2

R

Earth

2

∴

2

g

=g

(R

Earth

+h)

2

R

Earth

2

OR R

Earth

+h=

2

R

Earth

⟹h=

2

R

Earth

−R

Earth