$($a$)$

A $11\mathrm{.}0$ g wad of sticky clay is hurled horizontally at a $120$ g wooden block initially at rest on a horizontal surface. The clay sticks to the block. After impact, the block slides $7\mathrm{.}50$ m before coming to rest. If the coefficient of friction between block and surface is $0\mathrm{.}650,$ what was the speed of the clay $($in m$/$s$)$ immediately before impact?

m$/$s

$($b$)$

What If$?$ Could static friction prevent the block from moving after being struck by the wad of clay if the collision took place in a time interval

$$t $=0\mathrm{.}100$ s$?$

Explain your answer.

Yes, a slightly larger coefficient of static friction could reasonably prevent the block from moving.No$,$ the coefficient of static friction that would be required is unrealistically large.