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) $\frac { 9 } { 50 } \mathrm { k }$

Question

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The Answer of 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) $\frac { 9 } { 50 } \mathrm { k }$

Solve the Problem F=k/x2F = k / x ^ { 2 }F=k/x2

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