To find the kinetic energy of a moving object, you can use the formula: KE = 1/2 * m * v^2, where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object. Let's apply this formula to the first question.
1. Find the kinetic energy of the ball with a mass of 1 kg and a velocity of 10 m/s.
- KE = 1/2 * m * v^2
- KE = 1/2 * 1 kg * (10 m/s)^2
- KE = 1/2 * 1 kg * 100 m^2/s^2
- KE = 50 J
Therefore, the kinetic energy of the 1 kg ball with a velocity of 10 m/s is 50 J (option b).
Moving on to the second question, let's analyze the concept of kinetic energy. Kinetic energy depends on both mass and velocity. In this case, the kinetic energy of both the ping pong ball and the golf ball is the same. Given that golf balls are generally heavier than ping pong balls, we can conclude that the ping pong ball must have a higher velocity to have the same kinetic energy. Therefore, the correct answer is that the ping pong ball is moving faster than the golf ball (option a).
Finally, when a ball is dropped, it falls under the influence of gravity, and its initial potential energy is converted into kinetic energy. Therefore, the correct answer is potential energy is converted into kinetic energy (option a).