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A sphere of mass M = 5kg and radius R = 0.1m rolls withour slipping with...

A sphere of mass M = 5kg and radius R = 0.1m rolls withour slipping with velocity V = 8.4 m/s toward an incline defined by angle θ = 10 degrees.

1. Calculate the kinetic energy of the sphere right bfore it goes up the incline

2. Calculate the height the mass gets up the ramp.

3. Consider a box with the same mass and velocity instead sliding without friction toward the incline. How does this objects KE before the incline compare to the sphere?

4. How high up the ramp does the box go up. How do the heights compare between objects?

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