A new rear-wheel drive automobile design is being tested and you have been asked to estimate its performance. The car without wheels (ie., the body) has a mass of mc-1150 kg. The wheels (including tires) have diameter of 61.0 cm and each wheel weighs mw 16.0 kg. The radius of gyration of the wheels about their centers is k-19.2 cm. Model the torque output (which acts in the counterclockwise direction) to each rear wheel as T(t)=90.0 the N-m. Assume that the wheels roll without slipping and neglect the air resistance and any other frictional effects Part A Time for the Car to Reach 100 km/h Find the time it will take for the car to reach v-100 km/h from rest. Part B - After the car reaches 100 km/h the driver immediately steps on the brakes and comes to a stop in 2.65 s. The brakes are at a distance 15.9 cm from the center of the wheel and the force they apply acts in the y direction. Assume for this problem that the brakes apply an equal force to each wheel, that the torque to the rear wheels is zero and that the wheels continue to rotate until the car stops. Calculate the magnitude of the force, Fb, exerted by the brakes on each wheel during this time.