Final answer:
The kinetic energy of a 145 gram baseball moving at 40.2 m/s is calculated using the formula KE = 1/2 mv², which results in approximately 116.663 Joules.
Step-by-step explanation:
The kinetic energy of an object can be calculated using the kinetic energy formula, which is KE = 1/2 mv², where m is the mass of the object and v is its velocity. In this case, the mass of the baseball is 145 grams, which is 0.145 kilograms (since the SI unit for mass in the kinetic energy formula is kilograms), and the velocity is given as 40.2 meters per second.
Plugging the values into the formula:
KE = 1/2 (0.145 kg) (40.2 m/s)²
KE = 1/2 (0.145 kg) (1616.04 m²/s²)
KE = 1/2 (233.326 kg·m²/s²)
KE = 116.663 kg·m²/s² = 116.663 Joules
Therefore, the kinetic energy of a 145 gram baseball moving at a velocity of 90.0 mph (or 40.2 m/s) is approximately 116.663 Joules.