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6.A loaded cart has a total mass of 250 kg. If a 312-N force acting at an anle of 30° to the ground is applied, how much work is done in moving the cart 12 m from its current position?​

Sagot :

[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 = (312 N)(12 m)(cos 30°)

[tex]\boxed{W = \text{3,242.40 J}}[/tex]

Therefore, the work done is 3,242.40 J.

[tex]\\[/tex]

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