Solve the Problem $F = k / x ^ { 2 }$

question 159

Multiple Choice

Solve the problem.
-The gravitational force (in lb) of attraction between two objects is given by $F = k / x ^ { 2 }$ , where $x$ is the distance between the objects. If the objects are $5 \mathrm { ft }$ apart, find the work required to separate them until they are $50 \mathrm { ft }$ apart. Express the result in terms of $k$ .

• A) \(\frac { 1 } { 10 } \mathrm { k }\)
• B) \(\frac { 1 } { 250 } \mathrm { k }\)
• C) \(\frac { 1 } { 45 } \mathrm { k }\)
• D) \(\frac { 9 } { 50 } \mathrm { k }\)

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Definitions:

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