A conservative force F$$ is in the $+$x$-$direction and has magnitude F$($x$)=$$/($x$+$x$0)2,$ where $=0\mathrm{.}300$ N$$m$2$and x$0=0\mathrm{.}200$ m

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Part A

What is the potential$-$energy function U$($x$)$

for this force? Let U$($x$)0$ as x$$

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Express your answer in terms of x

$,$ x$0$ and

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Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value type

Activate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type

U$($x$)$

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Request$$Answer

Part B

An object with mass m

$=0\mathrm{.}500$ kg is released from rest at x $=0$ and moves in the $+$x$-$direction. If F$$ is the only force acting on the object,what is the object's speed when it reaches x $=0\mathrm{.}400$ m

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Express your answer with the appropriate units.