Final answer:
To calculate the work done by the boy pulling his sister in a wagon, the force applied and the angle of application are needed. Without these details, a numerical answer cannot be provided. If, for instance, a force of 20 N is applied horizontally, the work done over 30.0 m would be 600 Joules.
Step-by-step explanation:
To calculate the work done by the boy pulling his sister in a wagon, we must use the formula for work, which is:
Work = Force × Distance × Cos(θ)
However, to perform this calculation, we need the force that the boy exerts and the angle at which the force is applied in addition to the distance the wagon is pulled. Since the problem assumes no friction, we can ignore any forces from friction. As the question does not provide detailed information about force and angle, we are unable to provide a numerical answer.
If we had the force (F) that the boy applies to the wagon and the angle (θ) of the force relative to the horizontal, the scenario would look something like this:
Work = F × 30.0 m × Cos(θ)
For instance, if the boy applies a force of 20 N horizontally (which is an angle of 0°), the calculation would simplify to:
Work = 20 N × 30.0 m × Cos(0°) = 20 N × 30.0 m × 1 = 600 J
The work done would be 600 Joules in this case since the cosine of 0° is 1.