Question

The force exerted to pull a cart is directly proportional to the acceleration produced in the body. Express the statement as linear equation in two variables and draw the graph of the same by taking the constant mass equal to 6 kg. Read from the graph, the force required when the acceleration produced is (i) $5$ $m/se{c}^2$ , (ii) $6$ $m/se{c}^2$

Answer 1

We have $y$ $x$

Where $y$ denotes the force, $x$ denotes the acceleration and $m$ denotes the constant mass.

Taking $m=6kg,$ we get $y=6x$

Now, we form a table as following the value of $y$ below the corresponding value of $x.$

$\frac{x}{y}\frac{0}{0}\frac{1}{6}\frac{2}{12}$

Plot the points $(0,0),(1,6)$ and $(2,12)$ on a graph paper and join any two points and obtain a line.

From the graph we see that if the acceleration is $5m/se{c}^2$ the force is 30 N and if the accleration is $6m/se{e}^2$ , then the force is 36 N.