Question

3)What is the value of acceleration due to gravity at
height
equal to half the radius of earth from surface of earth.
{take g=10 m/s- at earth surface}​

Answer 1

Answer:

Let the radius of earth from surface of earth is R and the height equal to half the radius of earth from surface of earth is h.

The acceleration on the surface of earth due to gravity is given as,

g=

R

2

GM

The acceleration at a height due to gravity is given as,

g

′

=

h

2

GM

=

(

2

R

)

2

GM

=4g

=4×10

=40m/s

2

Thus, the value of acceleration at a height due to gravity is 40m/s

2

.