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In the picture to the right, find the angle at which
the box is pulled if the work done is 50J

In the picture to the right, find the angle at which the box is pulled if the work-example-1
User A Cat
by
4.0k points

1 Answer

11 votes

Answer:

42 °

Step-by-step explanation:

From the question given above, the following data were obtained:

Force (F) = 45 N

Workdone (Wd) = 50 J

Distance (d) = 1.5 m

Angle (θ) =.?

Angle at which the box is pulled can be obtained as:

Wd = Fd × Cos θ

50 = 45 × 1.5 × Cos θ

50 = 67.5 × Cos θ

Divide both side by 67.5

Cos θ = 50 / 67.5

Cos θ = 0.7407

Take the inverse of Cos

θ = Cos¯¹ 0.7407

θ = 42.2 ≈ 42 °

Thus, the angle at which the box is pulled is approximately 42 °.

User Night Walker
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4.7k points