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To clean a floor, a janitor pushes on a mop handle with a
Chapter 7, Problem 13P(choose chapter or problem)
To clean a floor, a janitor pushes on a mop handle with a force of 50.0 N. (a) If the mop handle is at an angle of \(55^{\circ}\) above the horizontal, how much work is required to push the mop 0.50 m? (b) If the angle the mop handle makes with the horizontal is increased to \(65^{\circ}\), does the work done by the janitor increase, decrease, or stay the same? Explain.
Questions & Answers
QUESTION:
To clean a floor, a janitor pushes on a mop handle with a force of 50.0 N. (a) If the mop handle is at an angle of \(55^{\circ}\) above the horizontal, how much work is required to push the mop 0.50 m? (b) If the angle the mop handle makes with the horizontal is increased to \(65^{\circ}\), does the work done by the janitor increase, decrease, or stay the same? Explain.
ANSWER:
Step 1 of 3
(a)
For cleaning the floor, the mop handle is pushed with force \(F=50 \mathrm{~N}\). Here we have to calculate the work required to push the mop by \(d=0.5 \mathrm{~m}\) if the handle is at an angle of \(\theta=55^{0}\) above the horizontal plane.
Given data,
Force, \(F=50 \mathrm{~N}\)
Displacement, \(d=0.5 \mathrm{~m}\)
Angle , \(\theta=55^{\circ}\)
To find,
Work required, \(W=?\)