Solve these problems: 1) A car is traveling on a level road with speed v0 at the instant when the breaks lock, so that the tires slide rather than roll. a) Use the work-energy theorem to calculate the minimum stopping distance of the car in terms of v0, g, and the coefficient of kinetic friction between the tires and the road. b) By what factor would the minimum stopping distance change if (i) the coefficient of kinetic friction were doubled, or (ii) the initial speed were doubled, or (iii) both the coefficient of kinetic friction and the initial speed were doubled? 2) A force in the +x-direction with magnitude F(x) = 18.0 N - (0.530 N/m)x is applied to a 6.00-kg box that is sitting on the horizontal, frictionless surface of a frozen lake. F(x) is the only horizontal force on the box. If the box is initially at x = 0, what is its speed after it has traveled 14.0 m