Gravitation Part 1

We know that, ve=√‌

2Gm

R1

...(i)
where, ve= escape velocity,
G= gravitational constant,
R= radius of earth
and m= mass of the body.
Now, the escape velocity is increased to 10 times,
⇒‌‌10ve=√‌

2Gm

R2

...(ii)
Dividing Eq. (ii) by Eq. (i), we get
⇒ 10=√‌

R1

R2

⇒100=‌

R1

R2

⇒‌‌R2=‌

R1

100

=‌

6400

100

⇒R2=64km