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If two objects have the same momentum do their velocities necessarily have the same directions?
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Answered 2007-11-17 22:20:12
=== === Since momentum is a vector and not a scalar quantity, to have the same momentum, they must have the same direction. Remember, vectors have magnitude and direction. Speed is the magnitude part of velocity. Since momentum is the product of mass (a scalar) and velocity (a vector) if two objects are moving in different directions, even if they have the same mass and speed, their momentums are different.
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If two objects have the same momentum do their magnitudes necessarily have the same directions?
First of all ... I think you're talking about either the magnitude of the momentum, or the magnitudeof the velocity, not the magnitude of the objects.Now ... you're obviously skating around the subject of vectors here, recognizing that both thevelocity and the momentum are vector quantities.If, as you say, the two objects have " ... the same momentum ... ", then you're saying that theirmomentum vectors are equal. If so, then you'd have to say that yes, since the momentum vectorsare equal, the momentum vectors and the velocity vectors must all have the same direction.But if the two momenta only have equal magnitudes, then they ... and the velocities ... can be inany two directions, not necessarily related.
Damage is more when two bodies collide from opposite directions than when they collide at any other angle.Is it due to the momentum of the objects or their relative velocities?
It is due to the momentum of the two bodies.
How is it possible for two objects to have the same momentum but different velocities?
The momentum product can be the same with different velocities; m1V=m2rV thus m1/m2=r ratio with V1=rV1.
Can momenta cancel?
Yes. If the force of momentum is equal in both directions, the momentum will cancel. This can occur if two objects with equal momentum traveling in different directions collide.
How is it possible for two objects to have the same momentum but different velocities.?
momentum is mass x velocity, so if they have the same momentum but velocity is different then mass is also different
Compare how two objects moving at the same speed could have different velocities?
Velocity is a vector; to specify velocity, you indicate a speed (a magnitude), and a direction. If two objects move in different directions, their velocities will be different, even if their speeds are the same.Velocity is a vector; to specify velocity, you indicate a speed (a magnitude), and a direction. If two objects move in different directions, their velocities will be different, even if their speeds are the same.Velocity is a vector; to specify velocity, you indicate a speed (a magnitude), and a direction. If two objects move in different directions, their velocities will be different, even if their speeds are the same.Velocity is a vector; to specify velocity, you indicate a speed (a magnitude), and a direction. If two objects move in different directions, their velocities will be different, even if their speeds are the same.
How can it be possible for two objects with different velocities to have the same momentum?
Because momentum is equal to mass times velocity, so if they have different velocity the momentum will be equal if the masses are right. Momentum is also equal to force times time.
Momentum of a system is conserved only when?
When no momentum is exchanged with other objects/systems.When no momentum is exchanged with other objects/systems.When no momentum is exchanged with other objects/systems.When no momentum is exchanged with other objects/systems.
What is a example of a momentum of zero?
An object at rest. Actually that's the only possible example for a single object. For two objects, you can have objects moving in opposite directions; for example, one may have a momentum of +100 units, and the other, a momentum of -100 units.
When does two objects traveling at the same speed have different velocities?
When they travel in different directions, obviously, since velocity is made up of a speed and a direction.
When objects collide what happens to the total momentum of all objects?
Nothing. The momentum of individual objects may change but total momentum is conserved.
How do you increase or decrease an objects momentum?
In order to increase an objects momentum, you must increase the objects velocity or mass. To decrease momentum, you reduce the objects velocity or mass.
What is the law of consevation of momentum means?
Mass is the measure of how much matter an object is made from. Velocity is the speed of an object in a particular direction. Momentum is the the Mass of an object multiplied by its velocity. A stationary object with a mass of 1 and velocity of 0 has a momentum of 0 because 1 X 0 = 0. An object of mass 1 and velocity 2 has a momentum of 2 because 1 X 2 = 2. If the object of momentum 2 hits the object of momentum 0, the velocity of both objects is shared, which means the both objects have a velocity of 1. The mass of both objects is unchanged so the momentum of both objects equals 1 because 1 X 1 = 1. The combined momentum of the two objects is 2 because 1 + 1 = 2. The original momentum of both objects was 2 because 2 + 0 = 2. The momentum after the objects hit each other is 2, which means the momentum as not changed, this is what the the law of conservation of momentum means. The law is true for objects of different mass and if both are moving with different velocities and for more than two objects colliding.
Can you Explain the concept that all objects have momentum?
If all objects have energy as in E=mc^2 then all objects have momentum P= mc. The universe consists of two types of "objects" scalars and vectors. Scalar momentum =mc, and Vector momentum =mv. If you only consider vector momentum then only objects with velocity have momentum. Here the problem is the Relativity of velocity. If there is no relative velocity then there is no vector momentum. There still is scalar momentum mc for all objects.
Do all rotating objects have angular momentum?
Rotating objects all have angular momentum.
Why can the total momentum of two objects moving in different directions be smaller than the individual momentum of each object?
It can't. The total combined momentum is equal to the sum of the momenta of the individual objects.Please note that momentum is a VECTOR quantity; that means that you can't even say whether a momentum is "larger" or "smaller" than another one. You can only compare the MAGNITUDE of the momenta with words such as "larger" or "smaller".
The momentum of two objects before collision is the same as the momentum of the two objects after collision?
Yes. The total momentum would be the same. This is an example of the conservation of linear momentum.
If two objects have different speed can they have the same velocity?
No. Speed is the magnitude of the velocity vector. In order for two velocities to be equal, they must have equal magnitudes and equal (parallel) directions.
Is an objects momentum directly proportional to an objects velocity?
Yes: P=mv (momentum = mass * velocity)
Can objects with different masses have the same momentum?
Objects with different masses can have the same momentum, m1v1 = m2v2.
What kind of objects have momentum?
One object that has a momentum is a computer.
What two objects are example of momentum?
Momentum is not an object, it is energy.
Law of conservation of momentum?
The law of conservation of momentum states that the total momentum of a group of objects does not change unless outside forces act on the objects.
Is there more force created when 2 objects meet in motion or when 1 object is still?
Assuming all of the objects have the same mass, the answer depends on their combined velocities. If the combined vector component of velocity of two objects is the same as the velocity of the single moving object, then the force of impact will be the same. So if the two are moving in opposite directions along the same path, they will generate the same amount of force as a single object moving at a velocity that is equal to the combined velocities of the two. If the velocities are different, the force varies accordingly.
Why does momentum have a direction?
Momentum is defined as inertia multiplied by velocity. And velocity has a direction. When a object interacts with other objects they collide and change directions.
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