Two identical wheels are moving on horizontal surfaces. The center of mass of ea

Question

Two identical wheels are moving on horizontal surfaces. The center of mass of each has the same linear speed. However, one wheel is rolling, while the other is sliding on a frictionless surface without rolling. Each wheel then encounters an incine plane. One continues to roll up the incline, while the other continues to slide up. Eventually they come to a momentary halt, because the gravitational force slows them down. Each wheel is a disk of mass 2kg (I=(1/2)mR^2). On the horizontal surfaces the center of mass of each wheel moves with a linear speed of 6m/s (use v=wR).

A. Make a table using all the initial velocities and heights for the two objects.

B. Make a table using all the final velocities and heights for the two objects.

C. Determine the maximum height of each wheel as it moves up the incline.

Thank you.

Explanation / Answer

The wheel that is sliding on the horizontal surface will only have translational kinetic energy.

(1/2)mv

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