$1.(6/42)$ A woman pedals her bicycle up a $5-$percent grade on a slippery road at a steady speed. The woman and bicycle have a combined mass of $82$ kg with mass center at G$.$ If the rear wheel is on the verge of slipping, determine the coefficient of friction s between the rear tire and the road. If the coefficient of friction were doubled, what would be the friction force F acting on the rear wheel? $($Why may we neglect friction under the front wheel?$)($ANS $=0\mathrm{.}0824,$ F $=40\mathrm{.}2$ N$)$