A wheel that is a solid disc with a mass of $20$ kg and a radius of $0\mathrm{.}25$ m is rolling without slipping and has a center of mass velocity of $7\mathrm{.}5$ m$/$s$.$

What is the total kinetic energy of the wheel?

Answer Choices for Problem $8\mathrm{.}1$

$281$ J

None of these

$563$ J

$1125$ J

Correct

Your Answer

$844$ J

Unlimited attempts

Submitted Dec $7,9$:$20$PM

Show Your Attempts

$8\mathrm{.}2$

Which of the following would be correct if the wheel was a thin hoop instead of a solid disc with the same mass radius and moving with the same center of mass velocity?

Answer Choices for Problem $8\mathrm{.}2$

It would have a higher total kinetic energy.

It would have a higher translational kinetic energy.

It would have a lower total kinetic energy.

It would have a lower rotational kinetic energy.

None of these are correct