What is the relationship between momentum mass and speed

How Does the Force of Momentum Affect an Object in Motion? | Sciencing

what is the relationship between momentum mass and speed

Momentum describes an object in motion and is determined by the product of two variables: mass and velocity. Mass -- the weight of an object. Learn what momentum and impulse are, as well as how they are related to force. This simple relationship means that doubling either the mass or velocity of an. for a body having mass m and moving at speed v. It is then obvious that in the above scenario of the woman catching the medicine ball, total “momentum” is the .

What are momentum and impulse?

Momentum can be defined as "mass in motion. The amount of momentum that an object has is dependent upon two variables: Momentum depends upon the variables mass and velocity. In terms of an equation, the momentum of an object is equal to the mass of the object times the velocity of the object. The equation illustrates that momentum is directly proportional to an object's mass and directly proportional to the object's velocity.

The units for momentum would be mass units times velocity units. In each of these examples, a mass unit is multiplied by a velocity unit to provide a momentum unit.

Momentum, Work and Energy

This is consistent with the equation for momentum. Momentum as a Vector Quantity Momentum is a vector quantity. 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. Nevertheless, we do know that momentum will be conserved anyway, so if, for example, the two objects stick together, and no bits fly off, we can find their final velocity just from momentum conservation, without knowing any details of the collision.

First, it only refers to physical work, of course, and second, something has to be accomplished. Consider lifting the box of books to a high shelf.

Momentum - Higher - AQA

If you lift the box at a steady speed, the force you are exerting is just balancing off gravity, the weight of the box, otherwise the box would be accelerating. Putting these together, the definition of work is: To get a more quantitative idea of how much work is being done, we need to have some units to measure work. This unit of force is called one newton as we discussed in an earlier lecture. Note that a one kilogram mass, when dropped, accelerates downwards at ten meters per second per second.

This means that its weight, its gravitational attraction towards the earth, must be equal to ten newtons.

what is the relationship between momentum mass and speed

From this we can figure out that a one newton force equals the weight of grams, just less than a quarter of a pound, a stick of butter. The downward acceleration of a freely falling object, ten meters per second per second, is often written g for short.

Now back to work. In other words approximately lifting a stick of butter three feet. This unit of work is called one joule, in honor of an English brewer.

Finding mass when given momentum and velocity

To get some feeling for rate of work, consider walking upstairs. A typical step is eight inches, or one-fifth of a meter, so you will gain altitude at, say, two-fifths of a meter per second.

what is the relationship between momentum mass and speed

Your weight is, say put in your own weight here! A common English unit of power is the horsepower, which is watts.

  • Momentum, Work and Energy
  • Linear Momentum: Definition, Equation, and Examples

Energy Energy is the ability to do work. For example, it takes work to drive a nail into a piece of wood—a force has to push the nail a certain distance, against the resistance of the wood. A moving hammer, hitting the nail, can drive it in. A stationary hammer placed on the nail does nothing.

Another way to drive the nail in, if you have a good aim, might be to simply drop the hammer onto the nail from some suitable height.

By the time the hammer reaches the nail, it will have kinetic energy. It has this energy, of course, because the force of gravity its weight accelerated it as it came down. Work had to be done in the first place to lift the hammer to the height from which it was dropped onto the nail.

In fact, the work done in the initial lifting, force x distance, is just the weight of the hammer multiplied by the distance it is raised, in joules.

But this is exactly the same amount of work as gravity does on the hammer in speeding it up during its fall onto the nail. You may remember that velocity is speed with direction, so if an object has a large speed, it also has a large velocity. Our momentum equation can be simplified even more by substituting the words for symbols: As you can see, if you increase one of the variables on the right side of the equation, either the mass or the velocity, the momentum on the left side must also go up in order to keep both sides equal.

If you increase both mass and velocity, the momentum goes up even more. In this way, we can see that both the bike and the semi can have a large momentum, but the semi's is still more because it is far more massive than the bike.

This also means that an object at rest does not have momentum. The velocity of an object at rest is zero, so there's no movement. In order for an object to have momentum, it must be moving!