Diego pulls a 4.5 kg sled across level snow with a force, F, of 230 N on a rope that is 35.0° above the horizontal. If the sled moves a distance of 63.3 m, how much work does Diego do?
Work done
= force*distance*cos(α)
where α=angle between the direction of the force and the direction of motion.
To calculate the work done by Diego, we need to apply the formula:
Work = Force × Distance × cos(θ)
where:
Work is the work done,
Force is the applied force,
Distance is the distance traveled,
θ is the angle between the direction of the force and the direction of motion.
First, we need to find the horizontal component of the force applied by Diego. We do this by multiplying the magnitude of the force by the cosine of the angle:
Horizontal Force = F × cos(θ)
Horizontal Force = 230 N × cos(35.0°)
Next, we can calculate the work done using the formula:
Work = Horizontal Force × Distance
Work = (230 N × cos(35.0°)) × 63.3 m
Finally, we can substitute the values into the equation to find the work done by Diego.