Final answer:
The kinetic energy of the soccer ball with a mass of 0.43 kg and a velocity of 5 m/s is calculated using the formula KE = 0.5 × m × v^2, resulting in a kinetic energy of 5.375 J.
Step-by-step explanation:
The student is asking about the kinetic energy of a soccer ball kicked across a field. The mass of the ball is given (0.43 kg) and the velocity with which it's kicked (5 m/s). The kinetic energy (KE) of an object can be calculated using the formula KE = 0.5 × m × v2, where 'm' is the mass and 'v' is the velocity of the object. Here, the ball doesn't slip and is a hollow sphere; however, for the purposes of this question, we consider only its translational kinetic energy and not its rotational kinetic energy.
Substituting the given values into the formula gives us KE = 0.5 × 0.43 kg × (5 m/s)2. This results in KE = 0.5 × 0.43 kg × 25 m2/s2 = 5.375 J.