Suppose an object was rolling (moving both rotationally and translationally):

• Would the object's total kinetic energy be the sum of both linear and angular kinetic energies? i.e. $K_{net}=\frac{1}{2}mv^2+\frac{1}{2}I\omega^2$?
• OR would linear and angular kinetic energies be separate, similar to how linear and angular momentum are completely separate?

Thank you so much!

Suppose an object was rolling (moving both rotationally and translationally):

• Would the object's total kinetic energy be the sum of both linear and angular kinetic energies? i.e. $K_{net}=\frac{1}{2}mv^2+\frac{1}{2}I\omega^2$?
• OR should linear and angular kinetic energies be treated as separate entities, similar to how linear and angular momentum are completely separate?

Thank you so much!