Answer:
K = ½ kg m2 / s2
Explanation:
The kinetic energy rotation is given by the expression
K = ½ I w²
Where I is the moment of inertia and w is the angular velocity.
We have a relationship between linear and angular velocity
v = w r
Where r the distance from the point of rotation, in this case it is the point or where the ball is, so the linear velocity is the same as the ball.
w = v / r
We replace
K = ½ I (v / r)²
Let's calculate
K = ½ kg m2 )(m/s )/ m) 2
K = ½ kg m2 / s2
