26.3 Totally Inelastic Collisions

TL;DR

A one-dimensional collision with two particles sticking together results in a loss of kinetic energy due to internal forces and deformations.

Transcript

Let's analyze a one-dimensional collision, where we're in the laboratory reference frame. And we have V1 initial and V2 initial is 0. It's a frictionless surface. But there's a collision here. And now we're going to make this collision totally inelastic. Now what that means is that the two particles stick together. So if this is our initial state--... Read More

Key Insights

• 💋 In a one-dimensional totally inelastic collision, two particles stick together, resulting in a loss of kinetic energy.
• ❓ Internal forces cancel in pairs, and with no external forces, the momentum of the system remains constant.
• 💥 Kinetic energy is not constant in a totally inelastic collision due to irreversible deformations and the conversion of energy into other forms.
• 🥳 The loss of kinetic energy in a totally inelastic collision depends on the mass ratio of the two objects.
• 🥳 The change in kinetic energy can be calculated based on the initial kinetic energy and the mass ratio.
• 🥳 The loss of kinetic energy is proportional to the initial kinetic energy and inversely proportional to the mass ratio.

Questions & Answers

Q: What happens in a one-dimensional totally inelastic collision?

In a one-dimensional totally inelastic collision, two particles stick together in the final state due to internal forces. Kinetic energy is lost, as it is converted into other forms of energy.

Q: How does the momentum of the system change in a one-dimensional totally inelastic collision?

The momentum of the system remains constant in a one-dimensional totally inelastic collision. Since there are no external forces, the momentum before the collision is equal to the momentum after the collision.

Q: Why is kinetic energy not constant in a totally inelastic collision?

Kinetic energy is not constant in a totally inelastic collision because internal forces cause irreversible deformations, generating other forms of energy such as heat and noise.

Q: What factors influence the loss of kinetic energy in a totally inelastic collision?

The loss of kinetic energy in a totally inelastic collision depends on the initial kinetic energy and the mass ratio of the two objects. The greater the mass ratio, the greater the loss of kinetic energy.

Summary & Key Takeaways

• A one-dimensional collision occurs on a frictionless surface, with two particles sticking together in the final state.

• Internal forces cancel in pairs, and with no external forces, the momentum of the system is constant.

• In a totally inelastic collision, kinetic energy is not constant and is lost due to irreversible deformations and other forms of energy.