Question

Draw graphs to show the dependence of force on mass for a constant acceleration.

Answer 1

We are asked to draw the graphs between the mass and force when the acceleration of the body is constant. First we need to write the relation between force, mass and acceleration of the body. Then after that, compare the formula with the equation of the straight line and from that we can get the slope, x-axis and y-axis of the required graph.

Complete step by step answer:
As per the given problem we need to draw a graph to show the dependence of force on mass for a constant acceleration. Let us say that the y axis represents the force acting on the body and the mass will be represented along the x-axis and at the same time the acceleration of the body will remain constant throughout the motion.We know that force is equal to the product of mass and acceleration.Mathematically we can write,
$F = Ma$
Where acceleration is constant and is represented as $a$, mass of the body is represented as $M$ and the force acting on the body is equal to $F$.

We know that equation of straight line as,
$y = mx + C$
Where, Slope is equal to $m$ and $C$ is the intercept on the axis.
Now on comparing this equation with the force formula we will get,
$y = F, x = M, m = a, C = 0$
Hence the graph will look like,

If the intercept will not be equal to zero then the equal will be,
$F = Ma + C$
Where $C$ is the intercept of the graph and is a constant value and can be represented as,

Note: Remember if it is act to draw the graph in between the force and acceleration of the body when mass is constant then at the same time the graph will look the same as above but the x axis repent the acceleration of the moving body and the slope will be equal to the mass of the body.