* Impulse is a change in momentum. Impulse is defined as the product of force and the time interval over which the force acts:
* Impulse = Force x Time
* Momentum is mass times velocity. Momentum is a measure of how much "motion" an object has.
* Momentum = Mass x Velocity
The relationship between impulse and velocity change:
Impulse is directly related to the change in momentum. The impulse-momentum theorem states that the impulse delivered to an object is equal to the change in its momentum:
* Impulse = Change in Momentum
Since momentum is mass times velocity, the change in momentum is:
* Change in Momentum = Mass x (Final Velocity - Initial Velocity)
Therefore, impulse is equal to the mass of the object multiplied by the change in its velocity.
Example:
Imagine a baseball with a mass of 0.15 kg. A bat hits the ball, applying a force of 1000 N for 0.01 seconds.
* Impulse = Force x Time = 1000 N x 0.01 s = 10 Ns
* Change in Velocity = Impulse / Mass = 10 Ns / 0.15 kg = 66.67 m/s
In conclusion:
While impulse and velocity change are related, they are not directly equal. Impulse is the change in momentum, and momentum is mass times velocity. So, impulse is equal to the product of mass and the change in velocity.
