Newton's Law of Gravitation States That Two Bodies with Masses $m_{1} \text { and } m_{2}$

Multiple Choice

Newton's Law of Gravitation states that two bodies with masses $m_{1} \text { and } m_{2}$ attract each other with a force $F=G \frac{m_{1} m_{2}}{r^{2}}$ where r is the distance between the bodies and G is the gravitation constant. If one of bodies is fixed, find the work needed to move the other from $r=m$ to $r=h$ .

A) $W=G m_{1} m_{2}\left(\frac{1}{m^{2}}-\frac{1}{h^{2}}\right)$
B) $W=G m_{1} m_{2}\left(\frac{1}{h^{2}}-\frac{1}{m^{2}}\right)$
C) $W=G m_{1} m_{2}\left(\frac{1}{h}-\frac{1}{m}\right)$
D) $W=G m_{1} m_{2}\left(\frac{1}{m^{2}}+\frac{1}{h^{2}}\right)$
E) $W=G m_{1} m_{2}\left(\frac{1}{m}-\frac{1}{h}\right)$