The center of mass of a pitched baseball or radius 3.87 cm moves at 36.6 m/s. the ball spins about an axis through its center of mass with an angular speed of 112 rad/s. calculate the ratio of the rotational energy to the translational kinetic energy. treat the ball as a uniform sphere.

Explanation:

It is given that,

Radius of baseball, r = 3.87 cm = 0.0387 m

Speed of baseball, v = 36.6 m/s

Angular speed,

Translational kinetic energy, ...........(1)

Rotational kinetic energy, ........(2)

I = moment of inertia

For a sphere,

Equation (2) becomes :

...........(3)

Dividing equation (1) and (3). We get :

Hence, this is the required solution.

d) the number of neutrons plus the number of protons