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• Level: GCSE
• Subject: Maths
• Word count: 1484

# How does the height from which an object is dropped affect the depth of penetration of a pile driver into the sand?

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Introduction

How does the height from which an object is dropped affect the depth of penetration of a pile driver into the sand?

In this experiment, I am going to work out whether there is any relationship between the depths of the penetration of a pile driver and the height from the object.

PREDICTION:

• I predict that if the height from an object increased, the depth penetration of a pile driver into the sand increased.

I predict this because when the object dropped down, the pile driver will gain gravitational potential energy from the object. The potential energy of the object is equal mass times gravitational field strength times height, as the mass and the gravitational field strength are the same, so the gravitational potential energy depends on the height, as it increased, the gravitation potential energy increases.

As the gravitation potential energy transfers to the platform, it makes the pile driver move into the sand deeper, and then the energy change into heat energy as there is friction between the sand and the pile driver, and eventually the thermal energy losts from the pile driver is dissipated into the surrounding room and causes a very small increase in the sand’s temperature.

• I predict that the graph will look like below:

The x-axis shows the height from the object to the platform.

Middle

After the experiment, I found that the maximum height 50cm is too high, as the brass will fall onto the floor; also it is too dangerous, so I will use the maximum height 30cm.

Obtaining evidence:

This shows the height of the 200g brass from the platform and the depth of the rob get into the sand.

 The height form the brass to the platform

Conclusion

As the result, if I am going to do another experiment, I will do as the diagram shows below:

Another problem is that during my experiment, sometimes I didn’t keep the brass mass dropping onto the middle of the platform, which varied the depth of the rod into the sand.

If I am going to do another experiment, I am going to try my best to drop the brass mass into the middle of the platform. I will use the set of apparatus shows below:

Accuracy:

For the accuracyy, I have used the ruler has the 0.1cm scale division which make it more accuracy.

During my experiment, I kept the height from the brass mass to the platform varies 5cm each time, which make no enough points in graph. So I don’t have the confidence that what the shape of line like when I draw it.

If I am going to do another experiment, I will vary the height by 2.5 cm each time.

But maybe if I do this, I will not have enough time to so the experiment.

Conclusion and evidence:

From the “ analysing and concluding” I showed above, the graph of my result should be below:

But the graph is my “obtaining evidence” showed above, it is totally opposite to the conclusion, which means I fair in the experiment. One of the reasons why getting enough points in the graph to see what the trend of the line.

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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