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

question 23

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) \(W=G m_{1} m_{2}\left(\frac{1}{m}-\frac{1}{h}\right)\)

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