Final answer:
The kinetic energy of a ball with a mass of 5 kg and a velocity of 10 m/s is calculated using the formula KE = ½ mv² and equals 250 joules.
Step-by-step explanation:
The kinetic energy (KE) of an object can be calculated using the formula KE = ½ mv^2, where m is the mass of the object and v is its velocity. For a ball with a mass of 5 kg rolling at a velocity of 10 m/s, we can substitute the values into the formula:
KE = ½ × 5 kg × (10 m/s)^2
KE = ½ × 5 kg × 100 m^2/s^2
KE = 2.5 kg × 100 m^2/s^2
KE = 250 J (joules)
Therefore, the kinetic energy of the ball is 250 joules.