A force of 11 N is applied to the handle of a screwdriver being used to pry off the lid of a paint can. As the input force moves through a distance 0.3 m, the screwdriver does 3 J of work on the lid.
What is the efficiency of the screwdriver?
To find the efficiency of the screwdriver, we need to determine the work output and work input.
The work done on the lid is the work output, which is given as 3 J.
The work input is the product of the force and the distance over which the force is applied. In this case, the input force is 11 N and the distance is 0.3 m. So the work input is:
Work input = Force × Distance
Work input = 11 N × 0.3 m
Work input = 3.3 J
Now we can calculate the efficiency using the formula:
Efficiency = (Work output / Work input) × 100%
In this case, the work output is 3 J and the work input is 3.3 J. So the efficiency is:
Efficiency = (3 J / 3.3 J) × 100%
Efficiency = 0.909 × 100%
Efficiency ≈ 90.9%
Therefore, the efficiency of the screwdriver is approximately 90.9%.