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.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Work done $= (\text{constant force}) \times (\text{distance})$
$= 3 \times (\text{distance})$
i.e., $y = 3x$, where $y$ (units) is the work done and $x$ (units) is the distance travelled.
Since $x = 2$ units (given), therefore, work done $= 3 \times 2 = 6$ units.
To plot the graph of the linear equation $y = 3x$, we need at least two solutions of the equation.
We see that $x = 0, y = 0$ satisfies the given equation, and $x = 1, y = 3$ also satisfies the equation.
Now we plot the points $A(0, 0)$ and $B(1, 3)$ and join them to form a line. The graph of the equation is a straight line. [We have not shown the whole line because work done cannot be negative].
To verify from the graph, draw a perpendicular to the $x$-axis at the point $(2, 0)$ meeting the graph at the point $C$. Clearly, the coordinates of $C$ are $(2, 6)$. It means that the work done is $6$ units.

Explore More

Similar Questions

Draw the graph of each of the equations given below. Also,find the coordinates of the points where the graph intersects the coordinate axes:
$1. 3x + 5y = 15$
$2. 5x - 2y = 10$
$3. 4x + 3y = -12$
$4. 3x - 7y = 21$
$5. x - y = 0$
$6. 2x - 3y = 0$
$7. x - y = -5$
$8. 5x - 3y = 15$

How many solution$(s)$ of the equation $2x + 1 = x - 3$ are there on the:
$(i)$ Number line
$(ii)$ Cartesian plane

If the temperature of a liquid can be measured in Kelvin units as $x^{\circ} K$ or in Fahrenheit units as $y^{\circ} F$,the relation between the two systems of measurement of temperature is given by the linear equation
$y = \frac{9}{5}(x - 273) + 32$
$(i)$ Find the temperature of the liquid in Fahrenheit if the temperature of the liquid is $313^{\circ} K$.
$(ii)$ If the temperature is $158^{\circ} F$,then find the temperature in Kelvin.

From the choices given below,choose the correct equation whose graph is shown in the following figure.

Solve the equation $5y + 10 = 3y + 4$ and represent the solution on $(1)$ the number line and $(2)$ the Cartesian plane.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo