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A force acts on an object, causing it to move parallel to the force. The graph in the figure shows this force as a function of the position of the object.

How much work does the force do as the object moves from 0 to 15 m?a)25 J
b)50 J
c)100 J
d)150 J
e)125 J

Respuesta :

Answer:

The work done by the force is 150 J.

(d) is correct option.

Explanation:

Given that,

The object moves from 0 to 15 m.

Displacement = 15 m

Suppose the graph shows this force as a function of the position of the object

We need to calculate the work done

According to graph,

W = area under the graph from 0 to 15

[tex]W = \dfrac{1}{2}\times b\times h[/tex]

Where, h = height

b = base

Put the value into the formula

[tex]W=\dfrac{1}{2}\times15\times20[/tex]

[tex]W=150\ J[/tex]

Hence, The work done by the force is 150 J.

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Cricetus

The work done by the force will be "125 J".

Force and Work done

When a force operates on an item, it moves parallel to the force. The graph throughout the illustration depicts this force as nothing more than a function of such object's location. The attachment of the graph is provided below.

According to the question,

Object moves, 0 m to 15 m

We know that,

→ Work done = Area of figure ABCD

                      = (OA × OD) + [tex]\frac{1}{2}[/tex] × (DC × BD)

By substituting the values,

                      = (10 × 10) + [tex]\frac{1}{2}[/tex] × (15 - 10) × 10

                      = 100 + [tex]\frac{1}{2}[/tex] × 5 × 10

                      = 125 J  

Thus the answer above i.e., "Option e" is correct.

Find out more information about work done here:

https://brainly.com/question/25573309

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