Question

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

Answer 1

Answer: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

​

Explanation: