Answered

1. How much work is done by a box of oranges that is pulled 12 m along a level surface by a rope having 50 N force that makes an angle of 30° with the surface? (cosine 30° is equal to 0.87)

Given: Formula: Solution:

Sagot :

TOKAMAKGO

[tex]\tt{\huge{\blue{Explanation:}}}[/tex]

The work done by an object exerting a force F at an angle θ and at a distance d is given by

[tex]\boxed{W = Fd \: \cos \theta}[/tex]

where:

W = work

F = force

d = distance

θ = angle of the force with the horizontal

[tex]\tt{\huge{\red{Solution:}}}[/tex]

Solving for W

W = Fd cos θ

W = (50 N)(12 m)(cos 30°)

W = (50 N)(12 m)(0.87)

[tex]\boxed{W = \text{522 J}}[/tex]

Therefore, the work done is 522 J.

[tex]\\[/tex]

#CarryOnLearning

Go Educations: Other Questions