How is impulse related to change in momentum?

Impulse is directly related to the change in momentum; it is the product of the force applied and the time it is applied for.

Impulse, in physics, is a measure of the total effect of a force acting on a body for a period of time. It is calculated as the product of the force and the time over which it acts. The unit of impulse is the Newton-second (N.s), which is equivalent to a kilogram-meter per second (kg.m/s). This is the same unit as momentum, which is not a coincidence, as impulse is directly related to the change in momentum of an object.

The principle of impulse and momentum states that the change in momentum of an object is equal to the impulse applied to it. This is based on Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. If you multiply both sides of this equation by the time over which the force acts, you get the equation for impulse and change in momentum: Impulse = Change in Momentum.

This relationship can be seen in everyday situations. For example, when you kick a football, the force of your foot acting on the ball for a certain amount of time (the impulse) causes the ball to change its momentum and move. The harder you kick the ball (the greater the force), and the longer your foot is in contact with the ball (the longer the time), the greater the change in the ball's momentum.

In conclusion, impulse is a crucial concept in understanding how forces change the motion of objects. It provides a link between the force applied to an object, the time over which it is applied, and the resulting change in the object's momentum. This relationship is fundamental to the study of physics and is used in a wide range of applications, from sports science to rocket propulsion.