Conservation of energy and momentum

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SUMMARY

This discussion focuses on the practical applications of the principles of energy and momentum, particularly in the context of environmental impact. A specific example provided is the calculation of energy conversion in a hydroelectric facility, where potential energy (PE) is derived from the mass of water and its volume, and kinetic energy (KE) is calculated at the penstock outlet. Additionally, momentum is illustrated through a billiard ball collision scenario, emphasizing the relationship between mass, velocity, and angle of impact. These examples demonstrate the relevance of energy and momentum in real-world applications.

PREREQUISITES
  • Understanding of potential energy (PE) and kinetic energy (KE) calculations
  • Familiarity with hydroelectric power generation principles
  • Basic knowledge of momentum and collision physics
  • Ability to perform vector calculations in physics
NEXT STEPS
  • Research the equations for calculating potential energy in hydroelectric systems
  • Explore the principles of momentum conservation in elastic and inelastic collisions
  • Investigate the environmental impacts of hydroelectric power generation
  • Learn about the design and operation of penstocks in hydroelectric facilities
USEFUL FOR

Students and professionals in physics, environmental science, and engineering, particularly those interested in renewable energy applications and the principles of energy and momentum in practical scenarios.

SammyV
Hey if anyone can help me figure out a practical application that applies the principles of energy and momentum it would be greatly appreciated. It also has to have some environmental or impact on society.
 
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SammyV said:
Hey if anyone can help me figure out a practical application that applies the principles of energy and momentum it would be greatly appreciated. It also has to have some environmental or impact on society.

Everything fits those requirements if you think hard enough about the connections.
 
Generally, one would use energy to describe two occurrences that are separated by distance, while moment would apply to two occurrences that are separated by time if that makes sense.

For instance, when considering the amount of energy converted by a single generator in an impoundment hydroelectric facility one would: 1. develop an equation for the mass of water (vol x density) and use it to determine the potential energy of a volume of water entering the penstock. 2. use the PE to find the kinetic energy at the outlet of the penstock (being careful to account for the fact that the penstock is at an angle). 3. use KE to find energy imparted to the generator. obviously, this is an over-simplified example but i think it will help.

Momentum, on the other hand, would be used to solve such problems as: a billiard ball has mass m and moves with a velocity v and hits the object ball at an angle of 30 degrees, what is the velocity of the object ball after the collision?
 

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