A block of mass $m=2.00 \mathrm{~kg}$ rests on the left edge of a block of larger mass $M=8.00 \mathrm{~kg} .$ The coefficient of kinetic friction between the two blocks is $0.300$, and the surface on which the $8.00$ -kg block rests is frictionless. $\mathrm{A}$ constant horizontal force of magnitude $F=10.0 \mathrm{~N}$ is applied to the $2.00-\mathrm{kg}$ block, setting it in motion as shown in Figure $\mathrm{P} 5.65 \mathrm{a}$. If the length $L$ that the leading edge of the smaller block travels on the larger block is $3.00 \mathrm{~m}$,
(a) how long will it take before this block makes it to the right side of the $8.00-\mathrm{kg}$ block, as shown in Figure P5.65b? (Note: Both blocks are set in motion when $\mathbf{F}$ is applied.) (b) How far does the $8.00-\mathrm{kg}$ block move in the process?