Question

Draw the graph of :
(i) Mass against K.E when velocity is constant
(ii) K.E against velocity when mass is constant

Answer 1

In order to draw the graph,we are going to use the relation of kinetic energy that contains mass and velocity quantity and after comparing it with the standard set of equations of the curve from mathematics we can arrive at the desired result.

Formula used:
kinetic energy in terms of mass and velocity
$KE = \dfrac{1}{2}m{v^2}$
Where
m $=$ mass of body
v $=$ velocity of body

Complete step by step answer:
We know that the kinetic energy is given is terms of mass and velocity as :
$KE = \dfrac{1}{2}m{v^2}$
(i) If velocity is constant them
$KE \propto m(mass)$
Here we can see, the above relation is similar to the equation of straight line. So, the graph will be following as :

(ii) If mass is constant them
$KE. \propto {v^2}$
Here, we can see the above relation is similar to the equation of parabolic.
So, the graph will be following as :

Note: Many times students may get confused between kinetic energy, potential energy and mechanical energy.
-Kinetic energy is the energy which his possesses due to its motion and given as :
$KE = \dfrac{1}{2}m{v^2}$
-Potential energy is the energy held by an object because of its position relative to other objects. It is also known as rest mass energy.
-Mechanical energy is the sum of KE and PE, also known as total energy.
Mechanical energy $= KE + PE$