(Solved): please explain , and verify the anwser The mountain bike has a mass of 40kg with center of mass at ...

The mountain bike has a mass of $40\mathrm{kg}$ with center of mass at point $G_1$, while the rider has a mass of $60\mathrm{kg}$ with the center of mass at point $G_2$. When the brake is applied to the front wheel, it causes the bike to decelerate at a constant rate of 3 $\mathrm{m}/{\mathrm{s}}^2$. Determine the normal reaction the road exerts on the front and rear wheels. Assume that the rear wheel is free to roll. Neglect the mass of all the wheels. $(25\%)$