A person drives the sled on a horizontal surface, pulling the rope with a force of 49 N.

| May 3, 2021 | education

A person drives the sled on a horizontal surface, pulling the rope with a force of 49 N. The rope forms an angle of 60 ° with the horizontal direction. Determine the work done by a person on a 100 m path.

Given:

F = 49 Newton – the force that a person applies to pull the sled;

a = 60 ° – the angle of the rope with the horizon;

l = 100 meters – track section.

It is required to determine A (Joule) – the work of a person on a section of path of length l

Let us find the projection of the force F onto the horizontal axis of the OX coordinate system:

F1 = F * cos (a) = 49 * cos (60) = 49 * 0.5 = 24.5 Newtons.

Then, to determine the work, you need to use the following formula:

A = F1 * l = 24.5 * 100 = 2450 Joules.

Answer: on a path equal to 100 meters, a person does work 2450 Joules (2.45 kJ).



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