Answer:
W= 638.1 J
Explanation:
As we know that
Work done is the area of the force and displacement diagram.
W=∫F.dx
W=Work
F=force
dx=Elemental displacement
From the diagram ,area A
A= 60 x 7.09 + 1/2 x 60 x 7.09
A= 638.1 J
So the work W
W= 638.1 J
To solve the problem we must know about the concept of Work done.
Work done can be defined as the product of force that is been applied and the displacement that is been caused due to this force.
[tex]W = \int Fdx[/tex]
The work done by the man is equal to 631.8 J.
Given to us
The force that is been applied on the box for the first 7.09 m is 60 N,
The force that is been applied on the next 7.09 m is decreasing linearly from 60.0 N to 0.00 N
We know about the concept of work done, Now let's draw a graph based on the information that is been given to us,
[tex]W = \int Fdx[/tex]
We also, know that area under the graph shows us the amount of work that is been done,
[tex]W = \text{Area in the rectange } + \text{Area in the triangle}\\[/tex]
W = (60 x 7.09) + (0.5 x 60 x 7.09)
W = 638.1 J
Hence, the work done by the man is equal to 631.8 J.
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