There is no description in the problem reagrding position, so we cannot comment on potential energy. A kg car is traveling west at. It collides with a kg car that was at rest. Following the collision, the second car moves with a velocity of west. Assuming that the collision is elastic, what is the velocity of the first car after the collision? The collision is assumed to be elastic, so both momentum and kinetic energy are conserved.
Use the law of conservation of momentum:. Use the given values to fill in the equation and solve for :. Two train cars, each with a mass of kg, are traveling along the same track. One car is traveling with a velocity of east, while the other travels with a velocity of west.
The two cars collide and stick together as one mass. What is the magnitude and direction of the resulting velocity? Note that we are working with an inelastic collision, meaning that the two masses stick together after the collision. Because of this, they will have the same final velocity:. Use the given values to fill in the equation and solve for. Keep in mind that we must designate a positive direction and a negative direction.
We will use east as positive and west as negative. Since the final velocity is positive, we can determine that they train cars are traveling toward the east.
A bullet is fired at at a block of wood that is moving in the opposite direction at a speed of. The bullet passes through the block and emerges with the speed of , while the block ends up at rest. This problem is a conservation of momentum problem. When doing these types of problems, the equation to jump to is:.
It is given to us that is or , is , is unknown, is. With all this information given, the only unknown is. If you've found an issue with this question, please let us know.
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Express your understanding of the concept and mathematics of momentum by answering the following questions. Click on the button to view the answers. When fighting fires, a firefighter must use great caution to hold a hose that emits large amounts of water at high speeds.
Why would such a task be difficult? The hose is pushing lots of water large mass forward at a high speed. This means the water has a large forward momentum. In turn, the hose must have an equally large backwards momentum, making it difficult for the firefighters to manage. Both the Volkswagon and the large truck encounter the same force, the same impulse, and the same momentum change for reasons discussed in this lesson.
While the two vehicles experience the same force, the acceleration is greatest for the Volkswagon due to its smaller mass. If you find this hard to believe, then be sure to read the next question and its accompanying explanation. Miles Tugo and Ben Travlun are riding in a bus at highway speed on a nice summer day when an unlucky bug splatters onto the windshield. Miles and Ben begin discussing the physics of the situation. Miles suggests that the momentum change of the bug is much greater than that of the bus.
After all, argues Miles, there was no noticeable change in the speed of the bus compared to the obvious change in the speed of the bug. Ben disagrees entirely, arguing that that both bug and bus encounter the same force, momentum change, and impulse. Who do you agree with? Support your answer. The bug and bus experience the same force, the same impulse, and the same momentum change as discussed in this lesson. This is contrary to the popular though false belief which resembles Miles' statement.
The bug has less mass and therefore more acceleration; occupants of the very massive bus do not feel the extremely small acceleration. Furthermore, the bug is composed of a less hardy material and thus splatters all over the windshield. Yet the greater "splatterability" of the bug and the greater acceleration do not mean the bug has a greater force, impulse, or momentum change.
If a ball is projected upward from the ground with ten units of momentum, what is the momentum of recoil of the Earth? The earth recoils with 10 units of momentum. This is not felt by Earth's occupants. Since the mass of the Earth is extremely large, the recoil velocity of the Earth is extremely small and therefore not felt.
If a 5-kg bowling ball is projected upward with a velocity of 2. By substituting into this equation,. Draw a vector diagram in which the before- and after-collision momenta of each player is represented by a momentum vector.
Label the magnitude of each momentum vector. In an effort to exact the most severe capital punishment upon a rather unpopular prisoner, the execution team at the Dark Ages Penitentiary search for a bullet that is ten times as massive as the rifle itself. What type of individual would want to fire a rifle that holds a bullet that is ten times more massive than the rifle?
Someone who doesn't know much physics. In such a situation as this, the target would be a safer place to stand than the rifle. The rifle would have a recoil velocity that is ten times larger than the bullet's velocity. This would produce the effect of "the rifle actually being the bullet.
A baseball player holds a bat loosely and bunts a ball. Express your understanding of momentum conservation by filling in the tables below. A Tomahawk cruise missile is launched from the barrel of a mobile missile launcher.
Neglect friction. Momentum is conserved, because the total momentum of both objects before and after the collision is the same.
However, kinetic energy is not conserved. Some of the kinetic energy is converted into sound, heat, and deformation of the objects. A high speed car collision is an inelastic collision.
In the above example, if you calculated the momentum of the cars before the collision and added it together, it would be equal to the momentum after the collision when the two cars are stuck together. However, if you calculated the kinetic energy before and after the collision, you would find some of it had been converted to other forms of energy. An elastic collision occurs when the two objects "bounce" apart when they collide.
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