229k views
17 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?

(Unit = degrees)

2 Answers

9 votes

Answer:

59.22⁰

Step-by-step explanation:

User Makansij
by
4.7k points
5 votes

Answer:

The woman's force was directed 59.22⁰ to the horizontal.

Step-by-step explanation:

Given;

work done by the woman, W = 236 J

distance through the load was moved, d = 24.4 m

applied force, F = 18.9 N

inclination of the force, = θ

The work done by the woman is calculated as;

W = Fdcosθ


cos \ \theta = (W)/(Fd) \\\\cos \ \theta = (236 )/(18.9 * 24.4) \\\\cos \ \theta = 0.5118\\\\\theta = cos^(-1) ( 0.5118)\\\\\theta =59.22^0

Therefore, the woman's force was directed 59.22⁰ to the horizontal.

User Radical Edward
by
4.8k points