Question

A planet has the same acceleration due to gravity as that of the planet while having 25 times the earth's mass. How many times is its radius as compared to earth?​

Answer 1

Answer:

Given,

The new value of acceleration due to gravity,

g

′

=

100

g×25

=

4

g

g

′

=

4

g

We know that

The variation in the value of acceleration due to gravity is given by:

g

′

=

(h+R)

2

gR

2

4

g

=

(h+R)

2

gR

2

4

1

=

(h+R)

2

R

2

Taking square root both side.

2

1

=

h+R

R

h+R=2R

h=R