Starting with an initial speed of $3\mathrm{.}14\frac{m}{s}$ at a height of $0\mathrm{.}427m,$ a $1\mathrm{.}20-kg$ ball swings downward and strikes a $5\mathrm{.}23-kg$ ball that is at rest, as the drawing shows. $($a$)$ Using the principle of conservation of mechanical energy, find the speed of the $1\mathrm{.}20-kg$ ball just before impact. $($b$)$ Assuming that the collision is elastic, find the velocity $($magnitude and direction$)$ of the $1\mathrm{.}20-kg$ ball just after the collision. $($c$)$ Assuming that the collision is elastic, find the velocity $($magnitude and direction$)$ of the $5\mathrm{.}23-kg$ ball just after the collision. $($d$)$ How high does the $1\mathrm{.}20-kg$ ball swing after the collision, ignoring air resistance? $($e$)$ How high does the $5\mathrm{.}23-kg$ ball swing after the collision, ignoring air resistance?

$($a$)$ Number

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$($c$)$ Number

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$($d$)$ Number

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$($e$)$ Number

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