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...

 

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