Question

an artificial satellite is revolving at a height of 500km above the earth surface in a circular orbitsl completing one revolution in 98 min calculate mass of earth​

Answer 1

Answer:

The answer will be  5.62 x 10^24kg

Explanation:

According to the problem the satellite is completing one revolution of the circular orbital in 98 min

Now the let the velocity of the satellite is v

v = 2π(r+h)/t

Therefore the force can be calculated as

f = g Mm/(r+h)^2 = mv^2/(r+h)

=> gM/(r+h)^2 =  (2π(r+h))^2/t^2(r+h)

=> M = 4π^2(r+h)^2/Gt^2

now by putting all the values here

we will get M = 5.62 x 10^24kg