Final answer:
The kinetic energy of a ball with a mass of 0.5 kg and a velocity of 10 m/s is calculated using the formula KE = 0.5 * m * v^2. After substituting the given values into the formula, the kinetic energy is found to be a) 25 J.
Step-by-step explanation:
The kinetic energy (KE) of a ball can be calculated using the formula KE = 0.5 * m * v^2, where m is the mass of the ball and v is its velocity. Given that the mass of the ball is 0.5 kg and its velocity is 10 m/s, we can plug these values into the formula:
KE = 0.5 * 0.5 kg * (10 m/s)^2
= 0.25 kg * 100 m^2/s^2
= 25 J
Therefore, the correct answer is 25 J, which corresponds to option A.