Question

You Will need

Radius of the Moon = 1.74 x 106 m

Lunar Module Mass 5.56 x 103 kg

G = 6.67 x 10-11 Nm2 / kg2

4. In Apollo's lunar program, the command module orbits the Moon, while the lunar module lands on the surface of the Moon. The command module's orbit was circular and was 110 km above the Moon's surface. The speed of the orbit was uniform and lasted 2.00 hours. Determine the centripetal force on the module

Answer 1

First we have to determine the mass of moon from the time period of satellite ( 2.00 h ),  

Rearranging for the Mass of Moon,  

r is the total height of satellite revolution,  

T period of satellite revolution,  

Substituting,  

Now, Centripetal Force is supplied by Gravitational Force,  

Mass of Module,  

Substituting,