Final answer:
The kinetic energy of the 3 kg ball rolling at 2 m/s is 6 J.
Step-by-step explanation:
The kinetic energy of the ball can be calculated using the formula Ek = 1/2mv², where Ek is the kinetic energy, m is the mass of the ball, and v is the velocity of the ball.
Given that the mass of the ball is 3 kg and the velocity is 2 m/s, we can substitute these values into the formula:
Ek = 1/2 * 3 kg * (2 m/s)²
Calculating this equation, we get:
Ek = 1/2 * 3 kg * 4 m²/s²
Ek = 6 J
Therefore, the kinetic energy of the 3 kg ball rolling at 2 m/s is 6 J.