Question

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

Answer 1

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

$W = \dfrac{1}{2}\times b\times h$

Where, h = height

b = base

Put the value into the formula

$W=\dfrac{1}{2}\times15\times20$

$W=150\ J$

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