Content:

Chapter 1. Conservation Laws: Summary
1. Work
2. Kinetic Energy
3. Work-Energy Theorem
4. Mechanical Energy
5. Generalized Work-
Energy Theorem
6. Conservation of Energy
7. Momentum
8. Momentum and Impulse
9. Conservation of
Momentum
10. Perfectly Inelastic
Collision
11. Perfectly Elastic
Collision

 

Chapter 2. Problems: Work and Energy
Chapter 3. Problems: Work-Energy Theorem
Chapter 4. Problems: Conservation of the Energy
Chapter 5. Problems: Conservation of the Momentum
Chapter 6. Problems: Conservation of Energy and Momentum
 

 

 

Chapter 1. Conservation Laws: Summary  

 

A conservation law means that something is conserved with time.

Usually we have a system in an initial state (for example, two blocks before the collision), then we have a motion (for example, collision between the blocks) and finally we have the system in the final state (for example, two blocks after the collision). The conservation law means that the value of something (for example, the total momentum of two blocks) in the initial state is equal to its value in the final state.

 

The main conservation laws are:

•  the momentum conservation law and

•  the (mechanical) energy conservation law .

 

Both the momentum and the energy of the system depend on the motion of the objects. The main difference between the momentum and the energy is that the momentum is a vector, but the energy is a scalar. Therefore the momentum depends on the velocity (vector) of the object, but the energy depends on the magnitude of velocity – speed. In this sense it is easier to apply the energy conservation law than the momentum conservation law.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Copyright © Vadim Apalkov, 2008. All rights reserved wordwide.