Final answer:
The worker applies a force of 12 N to push a 3kg box up a 5-meter-long ramp when 60 Joules of work is done.
Step-by-step explanation:
The question is asking to calculate the magnitude of the force applied by a worker to a box to perform work, based on the given work done and displacement. Using the work-energy principle which states that work is equal to force times displacement (Work = Force × Displacement), we can rearrange the equation to solve for force (Force = Work / Displacement).
The worker does 60 Joules of work to push a box up a 5 meter ramp. The formula for work done is Work = Force × Distance, so rearranging for Force gives us Force = Work / Distance. Plugging in the values gives us Force = 60 J / 5 m, which results in a force of 12 N. Therefore, the correct answer is (2) 12 N.