Please help with part $($C$)!!!$

Problem $5$: $(20\%$ of Assignment Value$)$

A rod of mass $M=132g$ and length $L=34cm$ can rotate about a hinge at its left end and is initially at rest. A putty ball of mass $m=13g,$ moving with speed $V=5\frac{m}{s},$ strikes the rod at angle $=36$ a distance $D=\frac{L}{2}$ from the end and sticks to the rod after the collision.

Part $($a$)$

What is the total moment of inertia, I, with respect to the hinge, of the rod$-$ball$-$system after the collision?

$I=\frac{M{L}^2}{3}+m{D}^2,$ Correct!

Part $($b$)$

Enter an expression for the angular speed $$ of the system immediately after the collision, in terms of $m,V,D,,$ and I.

$=((m)(V)(D)cos())(I),$ Correct!

Part $($c$)$

Calculate the rotational kinetic energy, in joules, of the system after the collision.

$E_{\text{r}\text{o}\text{t}}=$

Problem $5$: $(20\%$ of Assignment Value$)$

A rod of mass $M=132g$ and length $L=34cm$ can rotate about a hinge at its left end and is initially at rest. A putty ball of mass $m=13g,$ moving with speed $V=5\frac{m}{s},$ strikes the rod at angle $=36$ a distance $D=\frac{L}{2}$ from the end and sticks to the rod after the collision.

Part $($a$)$

What is the total moment of inertia, I, with respect to the hinge, of the rod$-$ball$-$system after the collision?

$I=\frac{M{L}^2}{3}+m{D}^2,$ Correct!

Part $($b$)$

Enter an expression for the angular speed $$ of the system immediately after the collision, in terms of $m,V,D,,$ and I.

$=((m)(V)(D)cos())(I),$ Correct!

Part $($c$)$

Calculate the rotational kinetic energy, in joules, of the system after the collision.

$E_{\text{r}\text{o}\text{t}}$