Question

Calculate the gravitational acceleration of a satellite that is in orbit at a distance of 1.0 x 10^8 meters from the center of the Earth (Mass of Earth is 6.0 × 10^24).

Answer 1

`g=0.035\ m/s^2`

Step-by-step explanation:

Given that,

Mass of Earth,
`m=6* 10^(24)\ kg`

We need to find the gravitational acceleration of a satellite that is in orbit at a distance of
`10^8\ m` from the center of the Earth.

Radius of earth is 6,371 km

The formula used to find the gravitational acceleration at a distance is given by :

`g=(Gm)/(R^2)`

R = r+d

`g=(6.67* 10^(-11)* 6* 10^(24))/((10^8+6371* 10^3)^2)\\\\g=0.035\ m/s^2`

So, the gravitational acceleration is
`0.035\ m/s^2`.