An object is attracted toward the origin with a force given by \( F=-k / x^{2} \). Calculate the...

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An object is attracted toward the origin with a force given by \( F=-k / x^{2} \). Calculate the work done by the force \( F \) when the object moves in the \( x \)-direction from \( x_{1} \) to \( x_{2} \). If \( x_{2}x_{1} \), is the work done by \( F \) positive or negative ? You now exert a force with your hand to move the object slowly from \( x_{1} \) to \( x_{2} \) again while it is being acted on by the force \( F \). How much work do you do ? If \( x_{2}x_{1} \), is the work you do positive or negative?
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