In an elastic collision, the total kinetic energy of the system does not change. This means that the kinetic energy lost by one object is equal to the kinetic energy gained by the other object.

So, if you want to find the total kinetic energy of the system after an elastic collision, you just need to find the kinetic energy of each object before the collision and then add them together.

For example, let’s say you have two objects, each with a mass of 1 kg, and they are moving at speeds of 5 m/s and 3 m/s. Before the collision, the total kinetic energy of the system is:

1 kg * 5 m/s^2 + 1 kg * 3 m/s^2 = 40 J

After the collision, the objects will have swapped speeds, so the new total kinetic energy will be:

1 kg * 3 m/s^2 + 1 kg * 5 m/s^2 = 40 J

As you can see, the total kinetic energy of the system does not change in an elastic collision.

## Other related questions:

### Q: How do you find total kinetic energy after a collision?

A: There is no single answer to this question as it depends on the specific details of the collision. In general, however, the total kinetic energy after a collision can be found by adding up the kinetic energies of all the objects involved in the collision.

### Q: How do you find kinetic energy lost in an elastic collision?

A: In an elastic collision, the kinetic energy is conserved.

### Q: How do you find total kinetic energy?

A: The total kinetic energy is the sum of the kinetic energies of all the particles in a system.

### Q: What is kinetic energy in elastic collision?

A: In an elastic collision, kinetic energy is conserved. This means that the total kinetic energy of the system before the collision is equal to the total kinetic energy of the system after the collision.

## Bibliography

- Elastic Collisions In One Dimension Physics Problems
- Collisions in 1 Dimension – Hyperphysics
- How can I calculate the kinetic energy lost in elastic collisions?
- 4.1: Kinetic Energy – Physics LibreTexts
- 8.5 Inelastic Collisions in One Dimension – College Physics 2e
- Car and Truck in Head-on Collision – The Physics Classroom
- Truck “Rear-Ends” Car – Elastic – The Physics Classroom