Question

calculate kinetic energy

Answer 1

including translational and rotstional

Answer 2

Do we have initials and final position of the ball?

Answer 3

no

Answer 4

i know the formula it is \[\frac{ 1 }{ 2 } Mv _{CM}^2+ \frac{ 1 }{ 2 } I w^2\]

Answer 5

Yep

Answer 6

Substitute it in and you're done

Answer 7

I think M is mass v^2 idk I is moment of inertia and w is idk

Answer 8

Translational KE is what we used when we're not doing rotations
\[KE_T=\frac{1}{2}mv^2\]
Rotational KE is
\[KE_R=\frac{1}{2}I \omega ^2\]
Add them up and you will get the kinetic energy that they wanted

Answer 9

\(\omega\) is angular velocity

Answer 10

and v?

Answer 11

Velocity

Answer 12

ok hey is moment of inertia vector/scalar? kinetic energy vector/scalr, we will go for balls momentum is it vector/scalar

Answer 13

Neither, moment of inertia is a tensor.