Abaseball has a mass of 0.15 kg and radius 3.7 cm. in a baseball game, a pitcher throws the ball with a substantial spin so that it moves with an angular speed of 45 rad/s and a linear speed of 42 m/s. assuming the baseball to be a uniform solid sphere, determine the rotational and translational kinetic energies of the ball in joules.

Explanation:

Given

mass of baseball

radius of ball

angular speed of ball

linear speed of ball

Transnational Kinetic Energy is given by

Considering the ball as solid sphere its moment of inertia is given by  

Rotational Kinetic Energy

the old price per ounce is c/4.

the new price per ounce is c/3.6.

the ratio of the old price to the new one is

(c/4)/(c/3.6) = (c/c)×(3.6/4) = 0.9 . . = 9/10 . . "nine tenths" in either form