Mathematics
The work done by a body on the application of a constant force is the product of the constant force and the distance travelled by the body in the direction of the force. Express this in the form of a linear equation in two variables (work w and distance d), and draw its graph by taking the constant force as 3 units. What is the work done when the distance travelled is 2 units? Verify it by plotting it on the graph.
Polynomials
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Answer
Given:
Work done = constant force × distance travelled
Let the constant force be F units, work be w units and distance be d units.
So, w = F × d.
When the constant force is 3 units, the equation becomes:
w = 3d
This is a linear equation in two variables w and d.
To draw the graph, we identify the below points:
When d = 0, w = 3(0) = 0. Point: (0, 0).
When d = 1, w = 3(1) = 3. Point: (1, 3).
When d = 2, w = 3(2) = 6. Point: (2, 6).
Work done when d = 2:
Substituting d = 2 in w = 3d:
w = 3(2) = 6 units
∴ The work done when the distance travelled is 2 units is 6 units.
This is verified by the graph, since the point (2, 6) lies on the line w = 3d.
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