First of all ... I think you're talking about either the magnitude of the momentum, or the magnitude
of the velocity, not the magnitude of the objects.
Now ... you're obviously skating around the subject of vectors here, recognizing that both the
velocity and the momentum are vector quantities.
If, as you say, the two objects have " ... the same momentum ... ", then you're saying that their
momentum vectors are equal. If so, then you'd have to say that yes, since the momentum vectors
are 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 in
any two directions, not necessarily related.
You take square roots out of numbers, and certain physical magnitudes (measurements and the like), not out of objects.
To solve momentum conservation problems, first identify the system and isolate the objects involved. Next, establish the initial and final momentum of the system, applying the principle that the total momentum before an interaction equals the total momentum after, assuming no external forces act on the system. Set up the equation by equating the total initial momentum to the total final momentum, and solve for the unknowns. Finally, ensure that the direction of momentum is considered, as momentum is a vector quantity.
The more inclined the plane, the more momentum an object will gain while going down it.
100%. UFOs can be any unidentified flying objects. They don't necessarily have to be driven by aliens.
No. Velocity is the combination of a speed and its direction. In order fortwo objects to have the same velocity, they must be moving at the samespeed, and in the same direction.
Multiple objects can have a net momentum of zero if their individual momenta cancel each other out. This can happen when objects are moving in opposite directions or when the magnitudes of their momenta are equal but opposite. In this scenario, the total momentum of all the objects in the system sums to zero.
To determine if two objects have equal displacements, compare the magnitudes and directions of their displacements. If the magnitudes (distances) and directions traveled by each object are the same, then their displacements are equal. Displacement is a vector quantity that takes into account both distance and direction.
The magnitude of their initial momentum is the sum of the magnitudes of their individual momenta. It is calculated by multiplying the mass of each object by its velocity and then summing these values for all objects involved.
Yes, momenta can cancel each other out if they have equal magnitude but opposite direction. When two objects collide and the total momentum before the collision is equal to the total momentum after the collision, the individual momenta can cancel each other.
No, not necessarily. The total momentum of a system is conserved if there are no external forces acting on it. During transfers, momentum can change between objects but the total momentum of the system remains the same.
Momentum is defined as a vector quantity; this means that the direction matters. Only if it is defined as a vector quantity do you have something called "conservation of momentum", which makes it very interesting for physics.
False. In a collision between two objects, momentum is conserved but it is not necessarily distributed evenly between the objects after the collision. The total momentum before the collision should be equal to the total momentum after the collision, but individual objects may have different momenta.
Momentum transfer refers to the exchange of momentum between two objects or systems during a collision or interaction. It involves the transfer of momentum from one object to another, leading to changes in their velocities and directions of motion. The principle of momentum conservation states that the total momentum in a closed system remains constant before and after the interaction, even if it is transferred between objects.
True. According to Newton's third law of motion, action and reaction forces always act on different objects and have equal magnitudes but opposite directions. So, when these forces act in opposite directions on different objects, they effectively cancel each other out.
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.
False. Not all objects have momentum. Momentum is a property of moving objects and is defined as the product of an object's mass and velocity. Objects at rest do not have momentum.
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.