A 425 kg satellite is orbiting two earth radii from the center of the earth. Calculate the gravitational force and the magnitude of the satellite's acceleration.
The mass of the Earth is `5.97219*10^24` kg and the radius of the Earth is `6378.1*10^3` m.
The force of gravitational attraction between two objects with mass m1 and m2 and at a distance r from each other is `F = m1*m2*G/r^2` where G is a constant equal to `6.673*10^-11` m^3*kg^-1*s^-2.
It is given that the 425 kg satellite is 2 Earth radii away from it. The force of gravitational attraction between the two is `(6.67300*10^-11*5.97219*10^24*425)/(2*6378.1*10^3)^2` = 1040.88 N
The magnitude of the satellite's acceleration is `1040.88/425` = 2.44 m/s^2