Energy ...the basics

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This text is meant to accompany class discussions. It is not everything there is to know about energy. It is meant as a  prep for class. More detailed notes and examples are given in the class notes, presentations, and demonstrations (click here.)
Questions Reading questions for this unit.
Law of conservation of energy (for mechanical energies)

The first law of thermodynamics says that all energy is conserved. This is referred to as the law of conservation of energy. This means if you are sitting, at rest, at the top of a playground slide and then slide down to the bottom, all the forms of energy at the top and the bottom of the slide add up to give the same number. It is written like the the line shown below.

If this expression is applied to the slide example above, it would be written as

Since only two forms of energy are being considered, it could further be described as

Energy comes in many forms. Here, things are kept simple by only considering two forms, kinetic and gravitational potential energy.

Practice

Click here is the YouTube video above does not show up, http://youtu.be/fP8FPyRWAj8

 

Practice
  • Question
  • Solution

A basketball player tosses a ball upwards to its apogee. Use energy methods to find the ball's initial velocity.

Strategy

Use conservation of energy to solve. This means you need to pick two locations and compare their energies. on location is dictated by the question. You are to find the velocity of the ball when the player throws it. This in one of the locations. The second location is the place where you know both energies. This means you need to know the velocity and the height above the other location. It this problem the second location is 7 m above the starting height.

Solution

This video can be found at https://youtu.be/HZUNS5DiTJ8

 

Practice
  • Question
  • Solution

Given the information shown below, calculate the speed of the wagon on the far right at the given height.

Strategy:

  • Because there are no other forces outside of gravity acting on the wagon, you can use conservation of energy relationships to solve.
  • Pick two locations and compare their respective energies.
  • One of the locations is determined by the question. This will be the location at the far right as identified by the picture.
  • The other location will be somewhere where you know all the energies. In this case that will be at the far left.
  • Set up and solve as shown below. The blue text is not part of the actual solution. It is my notes about the solution and what must be shown.

Solution

This video can be found on YouTube at https://youtu.be/jhd59IfYKHA

 


by Tony Wayne ...(If you are a teacher, please feel free to use these resources in your teaching.)

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