# A 150kg cart moving at 13m/s east collided with a 420kg wagon

• lcp1992
In summary, to determine the final velocity of a system, the conservation of momentum equation must be used. The type of collision (elastic or inelastic) can be determined by calculating the coefficient of restitution. The direction of the final velocity will be in the same direction as the initial velocity of the lighter object. The total momentum of the system is conserved before and after the collision. The mass of the objects affects the outcome of the collision by determining the amount of momentum each object has.

## Homework Statement

A 150kg cart moving at 13m/s east collided with a 420kg wagon moving at 5m/s east.The cart rebounded westward with a speed of 3m/s. What was the speed of the wagon after the collision?

## Homework Equations

m1v1+m2v2=m'1v'1+m'2v'2

## The Attempt at a Solution

I solved the problem with this formula but i got 8.57m/s as the answer but the correct answer should be 11m/s.

thanks!

## What are the calculations needed to determine the final velocity of the system?

In order to determine the final velocity of the system, the scientist must use the conservation of momentum equation: m1v1 + m2v2 = (m1 + m2)vf. This equation takes into account the masses and velocities of both the cart and wagon before and after the collision.

## How do you know if the collision is elastic or inelastic?

The collision can be classified as elastic or inelastic by calculating the coefficient of restitution, which is a measure of the relative velocities before and after the collision. If the coefficient of restitution is equal to 1, the collision is elastic. If it is less than 1, the collision is inelastic.

## What is the direction of the final velocity?

The direction of the final velocity can be determined by using the conservation of momentum equation. The direction of the final velocity will be in the same direction as the initial velocity of the lighter object, in this case the cart.

## What is the total momentum of the system before and after the collision?

Before the collision, the total momentum of the system will be equal to the sum of the individual momenta of the cart and wagon. After the collision, the total momentum of the system will still be equal to the sum of the individual momenta, as momentum is conserved in a closed system.

## How does the mass of the objects affect the outcome of the collision?

The mass of the objects will affect the outcome of the collision by determining how much momentum each object has. The heavier object will have more momentum and will therefore exert a greater force on the lighter object during the collision. This will result in a change in the velocity of both objects after the collision.