A $91\mathrm{.}0-kg$ fullback running east with a speed of $5\mathrm{.}20\frac{m}{s}$ is tackled by a $95\mathrm{.}0-kg$ opponent running north with a speed of $3\mathrm{.}00\frac{m}{s}.$

$($a$)$ Explain why the successful tackle constitutes a perfectly inelastic collision.

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$($b$)$ Calculate the velocity of the players$-$immediately after the tackle.

magnitude

$\frac{m}{s}$

direction

north of east

$($c$)$ Determine the mechanical energy that disappears as a result of the collision.

Account for the missing energy.

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