Question

A uniform solid sphere rolls along a horizontal frictionless surface at 10 m/s and makes a...

A uniform solid sphere rolls along a horizontal frictionless surface at 10 m/s and makes a smooth transition onto a frictionless incline having an angle of 300. How far up the incline does the sphere roll when it comes to a momentary stop? Note for a sphere I= 2/5Mr2, where M is the mass of the sphere and r is the radius of the sphere.

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Answer #1

The total mechanical energy of the sphere is conserved

1/2 Iw^2 + 1/2mv^2 will be converted into gravitational potential energy as it moves up the incline

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