Newton's Law of Gravitation States That Two Bodies with Masses $m _ { 1 }$

question 77

Multiple Choice

Newton's Law of Gravitation states that two bodies with masses $m _ { 1 }$ 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 $r = l$ to $r = g$ .

• A) \(W = G m _ { 1 } m _ { 2 } \left( \frac { 1 } { l ^ { 2 } } - \frac { 1 } { g ^ { 2 } } \right)\)
• B)
• \(W = G m _ { 1 } m _ { 2 } \left( \frac { 1 } { l } - \frac { 1 } { g } \right)\)
• C)
• \[W = G m _ { 1 } m _ { 2 } \left( \frac { 1 } { g ^ { 2 } } - \frac { 1 } { l ^ { 2 } } \right)\]
• D)
• \[W = G m _ { 1 } m _ { 2 } \left( \frac { 1 } { g } - \frac { 1 } { l } \right)\]
• E)
• \[W = G m _ { 1 } m _ { 2 } \left( \frac { 1 } { l ^ { 2 } } + \frac { 1 } { g ^ { 2 } } \right)\]

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