Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 9 - Rotational Dynamics - Focus On Concepts - Page 242: 16

Answer

c) is correct.

Work Step by Step

Because there is no work due to nonconservative forces, the total mechanical energy $E_0$ at the top of the plane is the same as the total mechanical energy $E_f$ at the bottom of the plane. Therefore, $$KE_0+PE_0=KE_f+PE_f$$ At the top of the plane, $\omega_0=0$ and $v_0=0$ so $KE_0=0$. At the bottom of the plane, $h_f=0$, so $PE_f=0$. Therefore, $$KE_f=PE_0$$ As we can see, the total kinetic energy in the end depends only the initial potential energy. Because both hoops start off at the same height, they have the same $PE_0$, so their $KE_f$ will be the same, too.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.