$2.($Exercise$)$ Here is another problem we faced earlier in a different chapter. This time, solve this problem using conservation of energy.

These two masses are sliding together down the plank as shown. If $\backslash$theta $=35\backslash$deg $,$ m$1=2\mathrm{.}0$ kg$,$ m$2=5\mathrm{.}0$ kg$,$k$1=0\mathrm{.}0,$ and $$k$2=0\mathrm{.}1,$ what speed does the system move after starting from rest and sliding $0\mathrm{.}55$ meters?

$($Exercise$)$ Here is another problem we faced earlier in a different chapter. This time, solve this problem using

conservation of energy.

These two masses are sliding together down the plank as shown. If $\backslash$theta $=35\backslash$deg $,$m$\_(1)=2\mathrm{.}0$kg$,$m$\_(2)=5\mathrm{.}0$kg$,\backslash$mu $\_($k$1)=0\mathrm{.}0,$ and $\backslash$mu $\_($k$2)=$

$0\mathrm{.}1,$ what speed does the system move after starting from rest and sliding $0\mathrm{.}55$ meters?

Answer: