A $15\mathrm{.}0$ kg block is at rest on a frictionless horizontal table almost $($but not quite$)$ touching a very light

horizontal spring of force constant $450\mathrm{.}0$ N$/$m$.$ Suddenly it is struck by a $3\mathrm{.}00$ kg clump of Play$-$Doh traveling

horizontally at $8\mathrm{.}00$ m$/$s to the right. After this $$event$,$ the Play$-$Doh is stuck to the block. Divide and

conquer: The collision and the behavior after the collision are subproblems; work each on a different sheet

of paper.

$($A$)$ Determine the final velocity of the block$/$Play$-$Doh immediately after the collision. The spring has

NOTHING to do with this part.

$($B$)$ Find the maximum distance that the block$/$Play$-$Doh will compress the spring after the collision.

Remember, the Play$-$Doh is stuck to the block. A $15\mathrm{.}0$ kg block is at rest on a frictionless horizontal table almost $($but not quite$)$ touching a very light horizontal spring of force constant $\backslash (450\mathrm{.}0\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$m$\}\backslash ).$ Suddenly it is struck by a $3\mathrm{.}00$ kg clump of Play$-$Doh traveling horizontally at $\backslash (8\mathrm{.}00\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ to the right. After this "event," the Play$-$Doh is stuck to the block. Divide and conquer: The collision and the behavior after the collision are subproblems; work each on a different sheet of paper.

$($A$)$ Determine the final velocity of the block$/$Play$-$Doh immediately after the collision. The spring has NOTHING to do with this part.

$($B$)$ Find the maximum distance that the block$/$Play$-$Doh will compress the spring after the collision. Remember, the Play$-$Doh is stuck to the block.