Investigating the relationship between drop height and bounce height when a ball is dropped.

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Bradley Wells – 11X2 – Mrs Readings – Physics Coursework – Monnet

Investigating the relationship between drop height and bounce height when a ball is dropped

Theory

When an object has Gravitational Potential Energy due to its raised position, it will gain Kinetic Energy if it falls. The maximum kinetic energy it can gain is equal to the potential energy it can lose.

When the ball hits the ground and then bounces back up again, the amount of potential energy the second time is not as great as from when you first started. This is because of Percentage Energy Loss and Elastic Potential Energy. The Percentage Energy Loss is the second Potential Energy divided by the first Potential energy then multiplied by one hundred.

E.g. PE²

       PE¹   x 100 = Percentage Energy Lost

Energy stored in a stretched or compressed spring is elastic potential energy. When Elastic Potential Energy occurs, sound waves, movement and little heat is made throughout the surface it hits and therefore this can also be a factor I could measure.

Another energy factor I could measure is the Energy Conversion. You can find this out by one simple equation similar to the one before.

E.g. Height 1 

       Height 2   x 100 = Energy Conversion

There are also equations to work out the Potential Energy and Kinetic Energy too.

E.g. Potential Energy (PE) = mass (m) x gravity (g) x height (h)

        Kinetic Energy (KE) = ½ x mass (m) x velocity (v) ²

        Change in Potential Energy (PE) = Change in Kinetic Energy (KE)       

All these equations will be usual for my investigation and so will use some of them to prove my theory or prediction and hope the results come out successfully.

Prediction

Due to preliminary work I found out that the drop height potential energy is twice as great as the bounce height potential energy. Therefore meaning the tennis ball loses about half its potential energy the second time round. This can be calculated by using the Energy Conversion equation or Percentage Energy Lost equation. Both these equations gave me about 50% energy loss in the bounce height to the drop height.

This could be the reason of elastic potential energy but we will have to see in out second set of results and find out the reason for it being 50% and not any other result.

Plan

During this experiment there will be many factors that you will have to take into consideration as each one could have an effect on the investigation and we only want to change one of these factors to make it a fair test. We would also like to keep the calculations nice and simple too, so that the results can easily be plotted onto graphs and tables for easier use

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These are some of the main variables we will need to take into consideration:

  • Mass of the ball
  • Size and material of the ball
  • Drop height of the ball
  • The surface used to drop the ball onto
  • Ball pressure
  • Conditions and atmosphere

To make it a fair investigation I must only change one variable and keep the rest the same. Some of the variables are simple and easy to keep under control but others could cause problems or are difficult to keep under control. One variable for example, conditions of atmosphere, is very hard to ...

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