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In elastic collisions, momentum is a completely conserved quantity, meaning that the total momentum of the system before the collision should equal to the total momentum of the system after the collision. In this case, the p initial was equal to 0, that means p final should have also been 0, the only way that could be achieved is if the momentum of both carts had the same magnitude but in the opposite direction. p = m*v so if p is the same, the cart with the heavier mass would necessarily have a slower speed than the light cart.

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What is the velocity when the masses of the two carts are equal?

When the masses of two carts are equal, the velocity of the carts after an elastic collision will be approximately zero. This is because the momentum transferred from one cart to the other will cancel out, resulting in both carts coming to a stop.


Two ice skaters initially at rest have pushed off each other and are moving in opposite directions with equal speeds. What is known about their masses?

Their masses are equal. According to the law of conservation of momentum, the total momentum of the system will remain constant before and after the push-off. Since the two ice skaters have equal and opposite momenta after the push-off, their masses must be equal in order to fulfill this conservation law.


Two gliders with the initial velocities and masses shown below hit each other in a perfectly elastic collision (elasticity 1.0). What will be the velocity of glider 1 after the collision?

To determine the velocity of glider 1 after the collision, you would need to use the conservation of momentum principle. This involves setting up equations to account for the initial momentum and final momentum of the system. Given the initial velocities and masses of both gliders, you can calculate the velocity of glider 1 after the collision using the conservation of momentum equation: m1v1_initial + m2v2_initial = m1v1_final + m2v2_final.


What happens when two moving objects collide but one is going faster than the other?

When two moving objects collide and one is moving faster than the other, the faster object will transfer some of its momentum to the slower object upon impact. This transfer of momentum will cause both objects to change their speed and direction, depending on their masses and initial velocities. The extent of the change in motion will be determined by the conservation of momentum principle.


Can objects with different masses have the same momentum?

Yes. Momentum is rigidly defined as the product of mass and velocity. Velocity describes both a speed and a direction. So let's take two metal balls. One weighs 10 kilograms (kg) and the other weighs 20kg. We roll the 10kg ball along a flat and level floor at 2 meters per second (m/s) and the 20 kg ball at 1 m/s. 10*2 = 20*1 so they have the same momentum. If you have a friend roll the balls for you to catch some distance away, making sure after a few tests to roll the lighter ball at twice the speed of the heavier ball, you will find that it "feels" as if both balls hit your hand with about the same force. Your hand is stopping each ball. That is a force which is defined as the rate of change in momentum. Stopping each ball will cause your muscles to exert about the same strength to stop each ball, even though one is moving at double the speed of the other. You will then feel that two objects can indeed travel at different speeds and yet have the same momentum. JGS

Related Questions

What is the velocity when the masses of the two carts are equal?

When the masses of two carts are equal, the velocity of the carts after an elastic collision will be approximately zero. This is because the momentum transferred from one cart to the other will cancel out, resulting in both carts coming to a stop.


What occurs when unequal forms masses of elements balance one another?

When unequal masses of elements balance each other, it typically results in a stable system where the different masses exert forces that cancel each other out. This equilibrium is often seen in structures or objects where the placement of the masses is carefully calculated to prevent tipping or falling.


Two ice skaters initially at rest have pushed off each other and are moving in opposite directions with equal speeds. What is known about their masses?

Their masses are equal. According to the law of conservation of momentum, the total momentum of the system will remain constant before and after the push-off. Since the two ice skaters have equal and opposite momenta after the push-off, their masses must be equal in order to fulfill this conservation law.


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.


Two gliders with the initial velocities and masses shown below hit each other in a perfectly elastic collision (elasticity 1.0). What will be the velocity of glider 1 after the collision?

To determine the velocity of glider 1 after the collision, you would need to use the conservation of momentum principle. This involves setting up equations to account for the initial momentum and final momentum of the system. Given the initial velocities and masses of both gliders, you can calculate the velocity of glider 1 after the collision using the conservation of momentum equation: m1v1_initial + m2v2_initial = m1v1_final + m2v2_final.


Can gold be found in shopping carts?

No, gold cannot be found in shopping carts. Gold can be in other places, but it cannot be found in shopping carts.


In two boys of unequal weights running towards each other with the same speed meet lead-on what is the result of the collision?

The lighter boy will be moved backwards by a force equal to the difference in their masses.


What happens when two moving objects collide but one is going faster than the other?

When two moving objects collide and one is moving faster than the other, the faster object will transfer some of its momentum to the slower object upon impact. This transfer of momentum will cause both objects to change their speed and direction, depending on their masses and initial velocities. The extent of the change in motion will be determined by the conservation of momentum principle.


Why does earth rotate constantly?

Actually it doesn't - but the changes are quite small. There is a physical law called Conservation of Angular Momentum - the total angular momentum (informally, we might say the "amount of rotation") can't increase or decrease in a closed system. If the distribution of masses on Earth changes, Earth's angular velocity can change - but any redistribution of masses is rather small-scale, compared to the size of the Earth. On the other hand, Earth rotates slower and slower over time - angular momentum is transferred to the Moon in this case.


Can objects with different masses have the same momentum?

Yes. Momentum is rigidly defined as the product of mass and velocity. Velocity describes both a speed and a direction. So let's take two metal balls. One weighs 10 kilograms (kg) and the other weighs 20kg. We roll the 10kg ball along a flat and level floor at 2 meters per second (m/s) and the 20 kg ball at 1 m/s. 10*2 = 20*1 so they have the same momentum. If you have a friend roll the balls for you to catch some distance away, making sure after a few tests to roll the lighter ball at twice the speed of the heavier ball, you will find that it "feels" as if both balls hit your hand with about the same force. Your hand is stopping each ball. That is a force which is defined as the rate of change in momentum. Stopping each ball will cause your muscles to exert about the same strength to stop each ball, even though one is moving at double the speed of the other. You will then feel that two objects can indeed travel at different speeds and yet have the same momentum. JGS


What is quadrilateral whose diagonals are perpendicular to each other but unequal?

It is a kite or a rhombus both of which have unequal diagonals that are perpendicular to each other creating right angles.


What is the other name for change in momentum?

The other name for change in momentum is impulse. Impulse is a vector quantity that represents the change in momentum of an object when a force is applied over a period of time.