A child pulls on a little red wagon with a horizontal force of $70\mathrm{.}2$ N$.$ The wagon moves horizontally a distance of $30\mathrm{.}2$ m in $3\mathrm{.}9$ minutes.

Calculate the average power generated by the child in that time frame.

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Find the block's speed v as a fraction of its initial speed when it has compressed the spring only $39\mathrm{.}1\%$ of the maximum distance. Fill in the missing factor below.

$[$Hint: Start by solving the "full compression'$\text{'}$ problem to find the spring constant. Then use conservation of energy to solve the partial compression'$\text{'}$ problem.$]$