What will be the shape of the graph between Momentum and velocity (i) if mass is constant (ii)velocity is constant?

Question

Answer

Shape of Graph between Momentum and Velocity

If Mass is Constant

Directly Proportional: When mass is constant, momentum and velocity are directly proportional to each other.

Linear Graph: The graph between momentum and velocity will be a linear graph with a positive slope.

Mathematical Expression: The mathematical expression of the graph will be P = mv, where P is momentum, m is mass and v is velocity.

Example: For example, if the mass of an object is 2 kg and its velocity is 5 m/s, then its momentum will be 10 kgm/s.

If Velocity is Constant

Independent: When velocity is constant, momentum and mass are independent of each other.

Flat Line: The graph between momentum and mass will be a flat line with zero slope.

Mathematical Expression: The mathematical expression of the graph will be P = mv, where P is momentum, m is mass and v is velocity. But since v is constant, the expression becomes P = m * constant, which is a flat line.

Example: For example, if the velocity of an object is 5 m/s and its mass is varied from 1 kg to 5 kg, then its momentum will be constant at 25 kgm/s.

Answer

1. Momentum versus velocity when mass is fixed,

Momentum versus velocity graph will be a straight line passing through the origin (if v = 0, then p = 0).

2. Momentum versus mass graph when velocity is constant for different body,

If velocity is constant for different masses.

So, the momentum versus mass graph will be a straight line passing through the origin (if m = 0, then p= 0).