Science eStore. Question How is force related to momentum? Asked by: Melissa Thomas Answer Momentum measures the 'motion content' of an object, and is based on the product of an object's mass and velocity.
Momentum doubles, for example, when velocity doubles. Similarly, if two objects are moving with the same velocity, one with twice the mass of the other also has twice the momentum. Knowing the amount of force and the length of time that force is applied to an object will tell you the resulting change in its momentum. Answered by: Paul Walorski, B. On the other hand, you can also say that the change in momentum is equal to the force multiplied by the time in which it was applied or the integral of force with respect to time, if the force is not constant over the time period.
As usual, a symbol that is in italics is a magnitude, whereas one that is italicized, boldfaced, and has an arrow is a vector. Although the ball has greater velocity, the player has a much greater mass. Thus the momentum of the player is much greater than the momentum of the football, as you might guess. We shall quantify what happens in such collisions in terms of momentum in later sections.
The importance of momentum, unlike the importance of energy, was recognized early in the development of classical physics. Using symbols, this law is. The net external force equals the change in momentum of a system divided by the time over which it changes.
Force and momentum are intimately related. Momentum continues to be a key concept in the study of atomic and subatomic particles in quantum mechanics. We can derive this form as follows. We will consider systems with varying mass in some detail; however, the relationship between momentum and force remains useful when mass is constant, such as in the following example.
What is the average force exerted on the 0. This problem involves only one dimension because the ball starts from having no horizontal velocity component before impact. To determine the change in momentum, substitute the values for the initial and final velocities into the equation above.
As discussed in an earlier unit, a vector quantity is a quantity that is fully described by both magnitude and direction.
The direction of the momentum vector is the same as the direction of the velocity of the ball. In a previous unit, it was said that the direction of the velocity vector is the same as the direction that an object is moving.
As a vector quantity, the momentum of an object is fully described by both magnitude and direction. From the definition of momentum, it becomes obvious that an object has a large momentum if both its mass and its velocity are large.
Both variables are of equal importance in determining the momentum of an object. Consider a Mack truck and a roller skate moving down the street at the same speed. The considerably greater mass of the Mack truck gives it a considerably greater momentum. Yet if the Mack truck were at rest, then the momentum of the least massive roller skate would be the greatest. The momentum of any object that is at rest is 0.
Objects at rest do not have momentum - they do not have any " mass in motion. The momentum equation can help us to think about how a change in one of the two variables might affect the momentum of an object. Consider a 0. The total mass of loaded cart is 1. If the cart was instead loaded with three 0.
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