How far does an 800 g hollow sphere roll up a 25-degree incline?

Thread starter jjd101
Start date Nov 16, 2011
Tags

Momentum Rolling Sphere

AI Thread Summary

An 800 g hollow sphere with a diameter of 40.0 cm rolls at 4 m/s towards a 25-degree incline. The problem involves calculating how far it will roll up the incline before stopping and reversing direction, assuming no friction. The relevant equations include the kinetic energy of rolling and the moment of inertia for a hollow sphere. The discussion suggests that this scenario can be approached as an energy conservation problem. The key focus is on applying the principles of kinetic and potential energy to determine the distance traveled up the incline.

Nov 16, 2011

jjd101

Homework Statement

An 800 g, 40.0 cm diameter hollow sphere is rolling along at 4 m/s when it comes to a 25 degree incline. Ignoring any friction, how far along the incline does it roll before it stops and reverses its direction?

Homework Equations

Krolling= 1/2Iw^2 + 1/2Mv^2
I=2/3MR^2

The Attempt at a Solution

Too difficult to type

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Nov 16, 2011

Delphi51

Homework Helper

It looks like an energy question to me!

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