Neglecting Air Resistance and the Weight of the Propellant, Determine $5.07 \times 10 ^ { 10 } \mathrm { ft } - \mathrm { lb }$

Multiple Choice

Neglecting air resistance and the weight of the propellant, determine the work done in propelling a six-ton satellite to a height of 200 miles above earth. Assume that Earth has a radius of 4000 miles.

A) $5.07 \times 10 ^ { 10 } \mathrm { ft } - \mathrm { lb }$
B) $6.03 \times 10 ^ { 9 } \mathrm { ft } - \mathrm { lb }$
C) $1.21 \times 10 ^ { 12 } \mathrm { ft } - \mathrm { b }$
D) $1.21 \times 10 ^ { 10 } \mathrm { ft } - \mathrm { lb }$
E) $5.07 \times 10 ^ { 12 } \mathrm { ft } - \mathrm { lb }$