The work done by a body on application of a constant force is the product of the constant force and the distance travelled by the body in the direction of force. Express this in the form of a linear equation in two variables 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 the graph
Solution:
Given, the work done by a body on application of a constant force is the product of the constant force and the distance travelled by the body in the direction of force.
We have to express the linear equation in two variables and draw its graph by taking the constant force as 3 units.
We have to find the work done when the distance travelled is 2 units and verify it by plotting the graph.
Given, work done = constant force × distance
Work done = 3 × distance
Let the work done be y units
Let the distance travelled be x units
Therefore, the linear equation is y = 3x
Given, x = 2 units
Work done, y = 3(2)
y = 6 units
When x = 0, y = 3(0) = 0
When x = 1, y = 3(1) = 3
Therefore, the points are (0, 0) and (1, 3)
Plotting the points and joining them
The graph of the equation is a straight line.
To verify the graph,
Draw a perpendicular from the x-axis at the point (2, 0) which intersects the straight line at C.
From the graph, the coordinates of the point C = (2, 6)
This implies that the work done is 6 units.
✦ Try This: The work done by a body on application of a constant force is the product of the constant force and the distance travelled by the body in the direction of force. Express this in the form of a linear equation in two variables and draw its graph by taking the constant force as 5 units. What is the work done when the distance travelled is 3 units? Verify it by plotting the graph.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4
NCERT Exemplar Class 9 Maths Exercise 4.4 Sample Problem 4
The work done by a body on application of a constant force is the product of the constant force and the distance travelled by the body in the direction of force. Express this in the form of a linear equation in two variables 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 the graph
Summary:
The work done by a body on application of a constant force is the product of the constant force and the distance travelled by the body in the direction of force. The linear equation in two variables is y = 3x. The graph by taking the constant force as 3 units is mentioned above. The work done when the distance travelled is 2 units is 6 units
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