> #work , #energy , #physics > A load is pulled using a rope inclined at an angle of 75° with the horizontal , given that the force exerted on the rope is 150newtons .determine the work done in pulling the load?
Nov 15, 2023

# A load is pulled using a rope inclined at an angle of 75° with the horizontal , given that the force exerted on the rope is 150newtons .determine the work done in pulling the load?

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Nov 15, 2023
To determine the work done in pulling the load, we need to find the component of the force exerted on the rope in the direction of the displacement.

The force exerted on the rope is 150 newtons, and the angle between the force and the horizontal is 75°. We can find the component of the force in the horizontal direction by using the formula:

Force in the horizontal direction = Force * cos(angle)

Force in the horizontal direction = 150 newtons * cos(75°)

Force in the horizontal direction ≈ 150 newtons * 0.2588 ≈ 38.82 newtons

The work done in pulling the load is given by the formula:

Work = Force in the horizontal direction * displacement

Since the angle between the rope and the horizontal is 75°, the displacement is in the same direction as the force in the horizontal direction. Therefore, the displacement is equal to the force in the horizontal direction.

Work = 38.82 newtons * displacement

The work done in pulling the load depends on the distance over which the load is pulled. Without knowing the distance, we cannot determine the exact value of the work done.
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