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• Level: GCSE
• Subject: Maths
• Word count: 1978

# Does the height of a ball affect the diameter of the crater where it lands?

Extracts from this document...

Introduction

Does the height of a ball affect the diameter of the crater where it lands?

The variables that could affect my investigation are the surface area and mass of the ball this will affect the gravitational pull on the ball therefor affecting the diameter of the crater. The height could change from low to high again affecting the gravitational pull. Also the height the ball is dropped from could affect the diameter of the crater. I will use the variable of the height as the one I would like to investigate. I predict that the higher the ball is dropped from the lager the crater diameter will be and the lower the ball is dropped from the smaller the crater will be. This is because the grater the height of the ball the grater the force of G.P.E therefor giving the ball more energy which will be converted into K.E, thermal, and sound. Which means that the more G.P.E there is the more can be converted into K.E moving more of the sand enlarging the diameter of the crater.

To make it a fair test I will I will use a caliph, which will give me a accurate recording of the crater diameter. I will use the same ruler to measure the height each time, use the same sand in case of a change in sand grains size affecting the movement of the sand.

Middle

40

16.6

50

16.6

60

16.6

70

16.6

80

16.6

90

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100

16.6

From earlier preliminary results I found that a would not be able drop the ball from higher than 120cm’s due to the fact that the ball will become buried and it is not possible to make a accurate recording of the crater

I will take 9 readings and repeat it 3 times I will do this to make it fair, and make the measurements more accurate. And so I can have an accurate average to put into a graph.

The science behind this is, the chemical, which is used in my arm to put the ball at the height it is placed at. The larger the height of the ball the larger the force of G.PE which will be adding grater energy to the ball giving the ball more K.E energy to move the sand making a larger diameter of the crater.

I carried out my investigation in a safe and fair way.

The trend of my results shows that the greater the height that the ball is dropped from the grater the diameter of the crater and that there is a steady increase in the crater diameter.

Conclusion

Chemical > G.P.E > Sound (very little energy was used in sound)

> K.E (most of the energy was used in K.E)

> Thermal (again very little energy was used in thermal)

I made my investigation fair by using the same ball, same ruler, same sand, and by making accurate measurements with a caliph. The things I did particularly well where making sure the height the ball was dropped from was accurate, and remained the same for repeats.

I feel that there was nothing much that I did not do to a high level. I could have made my investigation more accurate by doing it more times getting a better average.

I think my results are accurate because, I was very careful with taking my results. I kept all the components that could have varied the same so that it would not affect my results. E.g. I kept the same ball so that the surface area and mass would not change because these could affect the diameter of the crater. Also I had no anomalous results, which leads me to think that all the components of the investigation was carried out in an accurate way. I can be sure on my conclusion because of the number of times that I did the experiments. To become more sure of my results I would do it more times to clarify my results. I could improve my results by using more accurate measuring devices. To confirm my conclusion I would do the experiment again. To extend my investigation I could measure the volume, or circumference of the crater.

This student written piece of work is one of many that can be found in our GCSE Height and Weight of Pupils and other Mayfield High School investigations section.

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