Consider an object with mass m acted upon by an external force. These methods will then be applied to analyze the impact and collision of bodies. As much as we commonly misuse scientific words in common language, we do have a reasonable grasp of the word momentum. In many applications, the focus is on an impulse modeled as a large force acting over a small time. Newtons law states that in the proper frame of reference. Let a be the acceleration of the object under the action of the. Since the principle of linear impulse and momentum is a vector equation, it can be resolved into its x, y, z component scalar equations. The linear momentum of an object is the product of the objects mass times its. To determine the momentum of a particle to add time and study the relationship of impulse and momentum to see when momentum is conserved and examine the implications of conservation to use momentum as a tool to explore a variety of collisions to understand the center of mass.
Linear momentum is in the direction of the velocity. When giving the linear momentum of a particle you must specify its magnitude and direction. Consider first the case of linear impulse and linear momentum. Then show that conservation of momentum helps us solve certain types of problems. The nature of linear momentum will be explored in this module. A small ball is thrown horizontally with a constant speed of 10 ms. In the previous two chapters we have reformulated the newtons second law. In this lecture, we will consider the equations that result from integrating newtons second law, f ma. At t 0, the particle strikes the end of the rod and sticks to it. The product of the mass of an object and its velocity. The product of the average force acting on an object and the time during which it acts. The ball hits the wall and reflected with the same speed. One important application of momentum conservation is the study of collisions. A particle of equal mass m is moving along the x axis at a speed v.