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

Answer:

$g=0.035\ m/s^2$

Explanation:

Given that,

Mass of Earth, $m=6\times 10^{24}\ kg$

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 :

$g=\dfrac{Gm}{R^2}$

R = r+d

$g=\dfrac{6.67\times 10^{-11}\times 6\times 10^{24}}{(10^8+6371\times 10^3)^2}\\\\g=0.035\ m/s^2$

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