(a) KE r = ---Select---kg-m^2kgNkg-mJ KE s = ---Select---kg-mNkgJkg-m^2 Two iden

Question

(a) KEr = ---Select---kg-m^2kgNkg-mJ KEs = ---Select---kg-mNkgJkg-m^2
Two identical wheels are moving on horizontal surfaces. The centerof mass of each has the same linear speed. However, one wheel isrolling, while the other is sliding on a frictionless surfacewithout rolling. Each wheel then encounters an incline plane. Onecontinues to roll up the incline, while the other continues toslide up. Eventually they come to a momentary halt, because thegravitational force slows them down. Each wheel is a disk ofmass 2.3 kg. On the horizontalsurfaces the center of mass of each wheel moves with a linear speedof 5.94 m/s. (a) What is thetotal kinetic energy of each wheel? (b) Determine the maximumheight reached by each wheel as it moves up the incline. I tried it, butcannot get the answer right! Please help!

Explanation / Answer

(c)

   h = PE / m g (rolling wheel)

   h = PE / m g (sliding wheel)

(d)

   the required height will be
   h = 3 v2 / 4 g

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