The work done by a body on application of a constant force is directly proportional to the distance travelled by body in a straight line. Express this in the form of a linear equation in o variables and draw its graph by taking constant force as 2 units. Read from the graph, the work done when the distance travelled is 2 units.
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Answers
We can consider distance traveled by the body and the work done as 'x' and 'y' respectively and then apply the direct proportion property.
Let the distance traveled and the work done by the body be x and y respectively.
The constant force applied to the body is 5 units.
Work done ∝ distance traveled.
Hence, y ∝ x
y = kx --- Equation (1)
Where k is the constant force applied on the body, given as 5. Thus, y = 5x.
By substituting different values of x in equation (1) we get different values for y
When x = 0, y = 0
When x = 1, y = 5
When x = 2, y = 10
Thus, we have the following table with all the obtained solutions: above graph no1
The graph of the line represented by the given equation is shown below. above graph no 2
(i) From the graphs, it can be observed that the value of y corresponding to x = 2 is 10 units. This implies that the work done by the body is 10 units when the distance traveled by it is 2 units.
(ii) From the graphs, it can be observed that the value of y corresponding to x = 0 is 0. This implies that the work done by the body is 0 units when the distance traveled by it is 0 units.
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