Asatellite has a mass of 5850 kg and is in a circular orbit 4.1 x10 to the 5th power m above the surface of a planet. the period of the orbit is two hours. the radius of the planet is 4.15 x 10 to the 6th power m. what is the true weight of the satellite when itis at rest on the planet's surface?

 W = 24.28 kN

Explanation:

given,

Mass of satellite = 5850 Kg

height , h = 4.1 x 10⁵ m

Radius of planet = 4.15 x 10⁶ m

Time period = 2 h

                    = 2 x 3600 = 7200 s

Time period of satellite

R is the radius of planet

h is the height of satellite

now calculation of acceleration due to gravity

g = 4.15 m/s²

True weight of satellite

W = m g

W = 5850 x 4.15

W = 24277.5 N

 W = 24.28 kN

True weight of the satellite is   W = 24.28 kN