The shuttle craft Galileo from the USS Enterprise encounters a Class M planet. Cmdr. Data decides to orbit the plant 100. m above the surface with a speed of 8.00 x 10

^{3} m/s. If the mass of the shuttle-craft is 1.00 x 10

^{5} kg.

a) Calculate the gravitational potential energy of the shuttle craft.

**(Text book answer: 9.8 x 10**^{7} J)
b) Calculate the bulk kinetic energy of the shuttle craft.

**(Text book answer: 1.6 x 10**^{8} J)
c) calculate the total mechanical energy of the system.

**(Text book answer: 2.6 x 10**^{8} J)