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12 votes
A woman does 236 J of work

dragging her trash can 24.4 m to
the curb, using a force of 18.9 N.
At what angle was her force
directed?

User Worp
by
4.6k points

1 Answer

10 votes

Answer:

Step-by-step explanation:

Step one:

Given data

work-done in dragging the trash= 236J

applied force= 18.9N

distance moved= 24.4m

Required

The angle of the applied force

Step two:

We know that work done is

WD= F * distance

The work is the product of the horizontal component of the force and the distance.

Horizontal force = 236 ÷ 24.4

= 9.67 N

Cos θ = Horizontal force ÷ Actual force

Cos θ = (236 ÷ 24.4) ÷ 18.9 = 236 ÷ 461.16

The angle is approximately 59˚

User Mloughran
by
5.6k points