(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A solid sphere has a mass of 1.0 kg. It is rolling at a translational speed of 10 m/s. What is the total energy of the rolling sphere?

I think I got the problem but I'm not sure I went about it the right way.

2. Relevant equations

I = (2/5)mr^2

KE_rot = (1/2)Iw^2

KE = (1/2)mv^2

3. The attempt at a solution

I assumed KE_total = KE_rot + KE...which I'm not sure is right.

So...

KE_rot = (1/2)Iw^2 = (1/2)(2/5)(m)(r^2)(w^2) = 20 Joules

and...

KE = (1/2)(m)(v^2) = 50 Joules

soo...

KE_total = 70 Joules

This is the right answer, but I'm not sure if the total kinetic energy is actually the rotational kinetic energy plus the linear kinetic energy. Also...what istranslationalvelocity? Is this any different than the sphere moving in a direction?

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# Homework Help: Total energy of a rolling sphere

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