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=== === 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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Q: If two objects have the same momentum do their velocities necessarily have the same directions?

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It is due to the momentum of the two bodies.

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.

The momentum product can be the same with different velocities; m1V=m2rV thus m1/m2=r ratio with V1=rV1.

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.

momentum is mass x velocity, so if they have the same momentum but velocity is different then mass is also different

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.

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.

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.

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 they travel in different directions, obviously, since velocity is made up of a speed and a direction.

Nothing. The momentum of individual objects may change but total momentum is conserved.

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.

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