The two similar wheels are moving on the horizontal surfaces. The center of mass of each has similar linear speed. However, one wheel is rolling, while the other is sliding on the frictionless surface devoid of rolling. Each and every wheel then encounters an incline plane. One continues to roll up the incline, whereas the other continues to slide up. Eventually, they come to a momentary halt, since the gravitational force slows them down. Each and every wheel is a disk of mass 2.0 kg. On the horizontal surfaces the center of mass of each wheel moves with the linear speed of 6.0 m/s.
(a) Find out the total kinetic energy of each and every wheel?
(b) Find out the maximum height reached by all the wheel as it moves up the incline.