Question

draw the graph between( A) kinetic energy and velocity for constant mass (B) Kinetic energy and mass for constant velocity.

Answer 1

To draw:

Graph between:

• Kinetic Energy and Velocity (mass is constant)

• Kinetic Energy and mass (Velocity is constant)

Solution:

Kinetic Energy is a type of mechanical energy possessed by a body by the virtue of its motion. Mathematically, it can be calculated as follows:

$\boxed{ \sf{KE = \dfrac{1}{2} m {v}^{2} }}$

1st case (Mass is constant):

For constant mass, kinetic energy is directly proportional to square of the velocity of the object.

$\boxed{ \sf{KE \: \propto \: {v}^{2} }}$

Hence , the graph will be parabolic.

2nd case (Velocity is constant):

For constant velocity, kinetic energy is directly proportional to the mass of the object.

$\boxed{ \sf{KE \: \propto \: m}}$

Hence graph will be a linear straight line passing through origin.

Refer to the attached diagram.