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Q.

A rope is used to pull a box along the floor, forming a 60° angle with the horizontal surface. The rope exerts 110 N of force while dragging the box 10 meters. Determine the work done by the force.

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a

500 J

b

550 J

c

400 J

d

800 J

answer is B.

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Detailed Solution

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Work done is given by: 
Work(W) = Force (F) x Displacement (s) Cos θ

W = Fscosθ
Where θ is the angle between force and displacement.

Here,
The angle between force and displacement is 60°.
So, the total work done by the force will be:
W = Fscosθ
W= 110×10× cos 60°
W = 110×10× 0.5 = 550 J

Therefore, the total work done will be 550 J.

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A rope is used to pull a box along the floor, forming a 60° angle with the horizontal surface. The rope exerts 110 N of force while dragging the box 10 meters. Determine the work done by the force.