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

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

Now we consider a perfectly inelastic collision, in which the two carts stick together after collision. This means that the carts have a common final velocity, and m1v1i + m2v2i = (m1 + m2)vf. If one cart is initially at rest, say m2, then we have m1v1i = (m1 + m2)vf, and vf = m1v1i/(m1 + m2).

## How to find the velocity of the combined carts after collision?

After the collision, the combined (vector sums, use correct signs) of the two carts’ momentum must equal the incoming momentum. Since you have the mass and velocity of one of the two cars, and the mass of the other, you should be able to find the missing velocity: p = mrivri = mrfvrf + mbfvbf.

## What is the formula for velocity of a collision?

What is the formula of collision? From the conservation of momentum, the formula during a collision is given by: m1v1 + m2v2 = m1v’1 + m2v’2. If the collision is perfectly inelastic, the final velocity of the system is determined using v’ = (m1v1 + m2v2)/m1 + m2.

## 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.

## How to find the final velocity of two objects after an elastic collision?

Conservation of Momentum: The equation for conservation of momentum during an elastic collisions is: ( m 1 ) ( v 1 i ) + ( m 2 ) ( v 2 i ) = ( m 1 ) ( v f 1 ) + ( m 2 ) ( v 2 f ) , where the velocities before and after are described by their labeling where v 1 i , v 2 i represent the initial velocities and v 1 f , v 2 …

## 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 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 momentum always conserved?

Momentum is always conserved because there is no external force acting on an isolated system (like the universe). Since momentum can never change, all of its components will always remain constant. Problems brought on by collisions should be resolved using the rule of conservation of momentum.

## What are the 3 formulas for velocity?

- v = u + at.
- v² = u² + 2as.
- s = ut + ½at²

## Is velocity constant in a collision?

FALSE – Two colliding objects will only experience the same velocity change if they have the same mass and the collision occurs in an isolated system. However, their momentum changes will be equal if the system is isolated from external forces.

## What happens when two carts collide?

The result of the collision is obvious from the moving frame of reference: the carts will be stuck together and not moving. To find out how this looks to an observer on the ground just add v2 to the velocity. The two carts end by moving at v2 when viewed from the Earth’s frame of reference.

## What is the velocity of the 8 ball after the collision?

What is the velocity of the 8 ball after the elastic collision below? The pool balls have the same mass. Because the cue ball stops, that mean the 8 ball moves forward with the original speed of the cue ball. So the speed is v = 2.0 m/s after the collision.

## What is the velocity of the 3 kg ball after the collision?

The velocity of the 3 kg ball is 4 m/s after the collision.

## What is the velocity of the ball after the elastic collision?

Assuming an elastic collision where kinetic energy and momentum are conserved, the answer is the following: m1v1i + m2v2i = m1v1f + m2v2f —–> v1f = -v1i((m2v2f/m1v1i) – 1) Plug in numbers —-> v1f = 4 m/s.