# When two carts having the same mass and the same speed collide and stick together?

## When two carts having the same mass and the same speed collide and stick together?

If both carts have the same masses and speeds then they will both come to rest after they hit the Velcro pads. This collision is completely inelastic: all the kinetic energy disappears. It is hardly necessary to do any mathematical analysis to understand the outcome.

## What is the final velocity of the two carts after the collision?

For a perfectly elastic collision, the final velocities of the carts will each be 1/2 the velocity of the initial velocity of the moving cart. For a perfectly inelastic collision, the final velocity of the cart system will be 1/2 the initial velocity of the moving cart.

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## What is the conservation of momentum of two carts?

Theory: When two carts collide with each other, the total momentum p = mv of both carts is conserved regardless of the type of collision. An elastic collision is one in which the two carts bounce off each other with no loss of kinetic energy.

## What is the total momentum of the carts after the collision?

During a collision, the total momentum of the system of both carts is conserved because the net force on the system is zero. If the momentum of one cart decreases, the momentum of the other cart increases by the same amount.

## What happens when 2 objects that have the same mass collide?

When two objects with the same mass collide, Newton’s laws tell us that they will accelerate the same amount but in opposite directions. Recall that force, velocity, and acceleration have both magnitude and direction.

## What are the 2 types of collision?

• Inelastic collisions: momentum is conserved,
• Elastic collisions: momentum is conserved and kinetic energy is conserved.

## What is collision formula?

From the conservation of momentum, the equation for the collision between two objects is given by: m1v1 + m2v2 = m1v’1 + m2v’2. From this expression, the initial and final velocities can be derived.

## What is the formula for the elastic collision of two carts?

p1+p2=p′1+p′2 (Fnet=0). m1v1+m2v2=m1v′1+m2v′2, where the primes (‘) indicate values after the collision; In some texts, you may see i for initial (before collision) and f for final (after collision). The equation assumes that the mass of each object does not change during the collision.

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## What is the formula for before collision and after collision?

Before the collision, one car had velocity v and the other zero, so the centre of mass of the system was also v/2 before the collision. The total momentum is the total mass times the velocity of the centre of mass, so the total momentum, before and after, is (2m)(v/2) = mv.

## Is kinetic energy conserved when two carts collide?

Both momentum and kinetic energy are conserved quantities in elastic collisions. Suppose two similar trolleys are traveling toward each other with equal speed. They collide, bouncing off each other with no loss in speed. This collision is perfectly elastic because no energy has been lost.

## What is the momentum of cart 1 before the collision?

The momentum of cart 1 before the collision is p1i. The momentum of cart 1 after the collision is p1f = p1i +Δp1.

## How can two carts have the same momentum but different mass?

The product of their mass and velocity must be equal in magnitude. So whichever cart has the smallest mass must be moving with a greater velocity in order to have the same momentum. In fact, the cart which has one-half the mass must have two-times the velocity.

## What is the formula for conservation of momentum?

What is the formula for the law of conservation of momentum? The formula for the Law of Conservation of Momentum is p=p’ or m1v1+m2v2=m1v1’+m2v2′. This equation shows us that the sum of the momentum of all the objects in the system is constant.

## What is the law of conservation of momentum?

The law of conservation of momentum states that in an isolated system the total momentum of two or more bodies acting upon each other remains constant unless an external force is applied. Therefore, momentum can neither be created nor destroyed.

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## What is the formula for the conservation of linear momentum?

The formula for linear momentum is p = mv. The total amount of momentum never changes, and this property is called conservation of momentum.

## When two carts having the same mass and same speed collide and bounce off each other elastically What is the final total momentum of the carts?

Answer: The final momentum of the carts (as a system of two masses isolated) is zero. Explanation: The problem states that two carts with the same mass, and the same speed (in magnitude), collide and bounce off of each other elasticaly.

## When two objects collide and stick together what will happen to their speed?

When two objects collide and stick together, what will happen to their speed, assuming momentum is conserved? They will move at the same velocity as whichever object was fastest initially.

## When two objects collide and stick together what happens to their momentum?

The total momentum of both objects does not change. For this reason we say that the total momentum of the interacting objects is conserved. Newton’s third law implies that the total momentum of a system of interacting objects not acted on by outside forces is conserved.

## What happens to the velocities of two objects that collide and stick together?

In a perfectly inelastic collision, the two objects stick together and move as one unit after the collision. Therefore, the final velocities of the two objects are the same, v 1 ′ = v 2 ′ = v ′ .