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Q: In which type of collision do the two objects always have equal velocity after the collision?

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Objects Sticking TogetherSometimes, objects stick together after a collision. The football players shown in Figure 3 are an example of such a collision. A dog leaping and catching a ball and a teen jumping on a skateboard are also examples. After two objects stick together, they move as one object. The mass of the combined objects is equal to the masses of the two objects added together. In a head-on collision, the combined objects move in the direction of the object that had the greater momentum before the collision. But together, the objects have a velocity that differs from the velocity of either object before the collision. The objects have a different velocity because momentum is conserved and depends on mass and velocity. So, when mass changes, the velocity must change, too.Figure 3 Examples of Conservation of Momentum

No, since momentum equals mass times velocity, if the masses of the two objects of equal velocity are different then their momentum will be different.

Conservation of momentum means that it will always be equal (I think?). Correct me if I'm wrong, someone.

Always.

"What it means to say that momentum is conserved is that momentum is the same before and after the collison." Or this is more correct: "In an isolated system (i.e. provided no external force acts), the total momentum of the system remains constant."MV before collision is equal to MV after the collision. The product of the mass and velocity of the objects before they collide is equal to the product of the mass and velocity of the objects after they collide. In an elastic collision this is easy to measure, in an inelastic collision some energy is lost to heat, sound, etc.

Always

Momentum is always conserved. But if you want to verify, calculate the vector sum p = mv of both objects before the collision, and then calculate the vector sum p = mv of both objects after the collision. Your two vectors should be exactly equal.

yes

In a collision, a force acts upon an object for a given amount of time to change the object's velocity. The product of force and time is known as impulse. The product of mass and velocity change is known as momentum change. In a collision the impulse encountered by an object is equal to the momentum change it experiences.Impulse = Momentum Change. What happens to the momentum when two objects collide? Nothing! unless you have friction around. Momentum#1 + Momentum#2 before collision = sum of momentums after collision (that's a vector sum).

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.

== == Momentum is the product of the mass of an object multiplied by its velocity (or speed). Momentum is conserved so if a moving object hits a staionary object the total momentum of the two objects after the collision is the same as the momentum of the original moving object.

The case you're describing is called an inelastic collision. Two objects collide, stick to each other and continue their motion as one body. Due to momentum conservation principle, sum of two bodies momenta before collision has to be equal to momentum of the one body after collision. pbefore = pfirst + psecond = m1v1 + m2v2 pafter = (m1 + m2)vcommon Since pbefore = pafter, (m1 + m2)vcommon = m1v1 + m2v2 We can get vcommon from that: vcommon = (m1v1 + m2v2) / (m1 + m2) [vi are velocities of bodies before collision and vcommon is a velocity after collision]

No.

The magnitude of the velocity is always equal to the speed. But velocity is a vector quantity (has a magnitude and direction) while speed is just a scalar quantity (only magnitude). So velocity and speed are never equal.

Momentum

The product of an object's mass and velocity is the object's momentum.

The product of an object's mass and velocity is the object's momentum.

both experience the same impact

momentum is caused by inertia. all objects have inertia, which means if they are moving at a certain velocity or are at rest they will continue to move at that velocity or remain at rest unless acted on by a force. Objects of more mass have greater inertia, so the amount of momentum is equal to the product of an objects mass and the magnitude of its velocity.

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 is caused by inertia. all objects have inertia, which means if they are moving at a certain velocity or are at rest they will continue to move at that velocity or remain at rest unless acted on by a force. Objects of more mass have greater inertia, so the amount of momentum is equal to the product of an objects mass and the magnitude of its velocity.

relative velocity is defined as the time rate of change of one object with respect to another object.the relative velocity depends upon the observer i.e.if the velocities of two objects are same then the relative velocity also seems to be equal.

Speed is equal to the magnitude of velocity almost always. Speed is total distance / total time no matter which way the distance goes. Velocity is the distance from a starting point divided by total time.

Momentum is what mass times velocity is equal to.

speed is a scalar and velocity a vector. Yes, they have equal speeds in the direction of the vector. If you run up a hill at 10 mph the speed and velocity in the direction up hill are the same, but the horizontal speed and vertical speed are different.