Final answer:
The work done on the wheel is calculated by multiplying the force applied, the distance moved, and the cosine of the angle between the direction of the force and the movement, which results in 460 Joules.
Step-by-step explanation:
To calculate the work done on the wheel, we use the formula for work, which is work = force x distance x cos(θ), where θ is the angle between the direction of the force and the direction of the movement. In this case, the force is applied parallel to the ramp, so the angle we use in the calculation is 0° (cos(0°) = 1).
The force applied is 230 N and the distance along the ramp is 2 meters. Since the force is applied in the same direction as the movement, the angle of the incline (35°) does not affect the calculation because the force is already applied in the direction of movement up the ramp.
Therefore, the work done is calculated as follows:
Work = 230 N x 2 m x cos(0°)
Work = 230 N x 2 m x 1
Work = 460 Joules
Thus, the correct answer is a) 460 J.