Final answer:
The work done by the weight of the ball can be calculated using the formula Work = Force x Distance. In this case, the weight of the ball is equal to its mass multiplied by the acceleration due to gravity. Therefore, the work done by the weight of the ball in one second after it is dropped is 4.9 Joules.
Step-by-step explanation:
The work done by an object's weight is given by the formula:
Work = Force x Distance
In this case, the weight of the ball is equal to its mass multiplied by the acceleration due to gravity (9.8 m/s^2).
Therefore, the work done by the weight of the ball in one second after it is dropped can be calculated as:
Work = (Weight) x Distance
Work = (mass x gravity) x Distance
Work = (0.5 kg x 9.8 m/s^2) x 1 second
Work = 4.9 Joules