Final answer:
By rearranging the kinetic energy formula, the mass of the soccer ball is calculated to be 0.4 kg.
Step-by-step explanation:
To determine the mass of a soccer ball that has a kinetic energy of 500 J and is traveling at a velocity of 50 m/s, we can use the formula for kinetic energy (KE), which is KE = ½ mv², where m is mass and v is velocity.
Using the given kinetic energy (KE = 500 J) and velocity (v = 50 m/s), we re-arrange the formula to solve for the mass (m):
m = (2 × KE) / v²
m = (2 × 500 J) / (50 m/s)²
m = 1000 J / 2500 (m²/s²)
m = 0.4 kg
Therefore, the mass of the soccer ball is 0.4 kilograms.