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There are different types of momenta. What you are referring to is LINEAR momentum. Linear momentum is the product of an object's mass and linear (along a straight line: translational motion) velocity and is usually represented by 'p' : p = mv. Keep in mind that it is a vector quantity (has a magnitude and direction). Momentum represents the "amount of motion" of an object.

Say you have two masses, m1 = m and m2 = 2m, so that m2 is twice as massive as m1. m1 is moving to the right at a linear velocity v1 = 2v and m2 is moving to the right at a linear velocity v2 =v. What are their linear momenta?

Well, p1 = m1 v1 = 2mv and p2 = m2 v2 = 2mv, so that p1 = p2. So, although both objects have DIFFERENT linear velocities and DIFFERENT masses, their linear momenta ("amount of motion") for this case are the same.

Now, if instead m1 is moving to the right at v1 = 3v and m2 is moving to the right at v2 = v, then:

p1 = m1 v1 = 3mv

p2 = m2 v2 = 2mv

Although m1 is the smaller mass, it has a larger "amount of motion" compared to m2 for this case, because it's linear velocity is larger than the former case.

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Related Questions

How do you determine mass using momentum and velocity?

You can determine mass using momentum and velocity by using the formula: momentum = mass x velocity. Rearrange the formula to solve for mass as mass = momentum/velocity. Plug in the values for momentum and velocity to calculate the mass.


What is momentum divided by velocity?

Momentum = mass x velocity. If you divide out the velocity you get mass.


How to find velocity with mass and momentum?

To find velocity with mass and momentum, you can use the formula: velocity momentum / mass. Simply divide the momentum by the mass to calculate the velocity.


How are mass and velocity related to momentum?

Momentum is directly proportional to both mass and velocity. This means that an object with a larger mass or a higher velocity will have a greater momentum. The formula for momentum is momentum = mass x velocity.


Is it true that momentum is not equal to the mass of an object divided by its velocity?

That is correct. Momentum is defined as the product of an object's mass and its velocity, not the mass divided by the velocity. The equation for momentum is p = mv, where p is momentum, m is mass, and v is velocity.


A vehicle's momentum depends on its?

A vehicle's momentum depends on its mass and velocity. The momentum of a vehicle is the product of its mass and its velocity. The larger the mass or velocity of a vehicle, the greater its momentum.


How do you find velocity when given mass and momentum?

To find velocity when given mass and momentum, you can use the formula: velocity momentum / mass. Simply divide the momentum by the mass to calculate the velocity.


Momentum is the product of what two quantities?

Momentum is the product of an object's mass and its velocity. The formula for momentum is: momentum (p) = mass (m) * velocity (v).


How do you find mass if you are given the momentum and the speed?

momentum = mass x velocity => mass = momentum / velocity


How can one determine velocity from momentum?

To determine velocity from momentum, you can use the formula: momentum mass x velocity. By rearranging the formula, you can solve for velocity by dividing momentum by mass. This will give you the velocity of an object based on its momentum and mass.


How can one determine velocity using momentum?

To determine velocity using momentum, you can use the formula: momentum mass x velocity. Rearrange the formula to solve for velocity: velocity momentum / mass. By dividing the momentum by the mass of the object, you can calculate its velocity.


Is momentum not equal to the mass of an object divided by its velocity?

No, momentum is calculated as the product of an object's mass and its velocity. The mathematical formula for momentum is momentum = mass x velocity.

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