2.5.1 Understanding Momentum

Momentum

  1. Momentum is defined as the product of mass and velocity.
  2. Momentum is a vector quantity. It has both magnitude and direction.
  3. The SI unit of momentum is kgms-1

Formula:


Example:
A student releases a ball with mass of 2 kg from a height of 5 m from the ground. What would be the momentum of the ball just before it hits the ground?

Answer:
In order to find the momentum, we need to know the mass and the velocity of the ball right before it hits the ground.

It's given that the mass, m = 2kg.

The velocity is not given directly. However, we can determine the velocity, v, by using the linear equation of uniform acceleration.

This is a free falling motion,
The initial velocity, u = 0
The acceleration, a = gravirational acceleration, g = 10ms-2
The dispacement, s = high = 50m.
The final velocity = ?

From the equation
v2 = u2 + 2as
v2 = (0)2 + 2(10)(5)
v = 10ms-1
The momentum,
p = mv =(2)(10) = 20 kgms-1