The equation is w = 3d. For a distance of d = 2 units, substituting it into the linear equation gives the work done as w = 3(2) = 6 units. Plotting (2, 6) confirms this on the graph.
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.
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The relationship is expressed as work equals force times distance, creating the linear equation w = 3d with a constant force of 3 units. To find the work done when the distance travelled is 2 units, substitute d = 2 into the formula, yielding w = 3(2) = 6 units of work. On a standard coordinate graph with distance on the horizontal axis and work on the vertical axis, plotting the linear path through (0,0) and (2,6) verifies the result.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-2/