Consider the following four cases of a person applying force to an object: (1) a force of 5 N directed parallel to the floor is pulling a box over a distance of 1 m. (2) a force of 5 N directed at an angle of 30^/circ ∘ with respect to the floor is pulling a box over a distance of 1 m. (3) a force of 10 N directed at an angle of 30^/circ ∘ with respect to the floor is pulling a box over a distance of 1 m. (4) a force of 10 N directed at an angle of 60^/circ ∘ with respect to the floor is pulling a box over a distance of 1 m. Rank the amount of work done by the person in each case, in order from greatest to least.

Question

Physics

Justice Tran

27 April, 01:05

Consider the following four cases of a person applying force to an object: (1) a force of 5 N directed parallel to the floor is pulling a box over a distance of 1 m. (2) a force of 5 N directed at an angle of 30^/circ ∘ with respect to the floor is pulling a box over a distance of 1 m. (3) a force of 10 N directed at an angle of 30^/circ ∘ with respect to the floor is pulling a box over a distance of 1 m. (4) a force of 10 N directed at an angle of 60^/circ ∘ with respect to the floor is pulling a box over a distance of 1 m. Rank the amount of work done by the person in each case, in order from greatest to least.

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Answers (1)

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Holly Green · Answer 1

3 > 4=1 > 2

Explanation:

As we know that, work done by a force given as

W = F. d cosθ

F=Force

d = Displacement

θ=Angle between force and displacement

1)

Here θ = 0°

F = 5 N

d = 1 m

W = F. d cosθ

W = 5 x 1 x cos 0°

W = 5 J

2)

Here θ=3 0°

F = 5 N

d = 1 m

W = F. d cosθ

W = 5 x 1 x cos 30°

W = 4.33 J

3)

Here θ = 30°

F = 10 N

d = 1 m

W = F. d cosθ

W = 10 x 1 x cos 30°

W = 8.66 J

4)

Here θ = 60°

F = 10 N

d = 1 m

W = F. d cosθ

W = 10 x 1 x cos 60°

W = 5 J

8.66 J >5 J=5 J>4.33 J

3 > 4=1 > 2