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It this experiment the aim is to make sense of the data that I collect from my experiment using the relevant formulas.

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Introduction

Katy Morris                Physics Coursework        41240        1714

It this experiment the aim is to make sense of the data that I collect from my experiment using the relevant formulas.

The experiment is rolling a steel ball of weight of 28.09g down a ramp.  I will roll the ball at different heights.

Once I have collected my results I will analysis my data using the relevant formulas and graphs.

The following formulas I could use in the analysis of my data

image00.png        Speed = Distances / Time

image00.png        Force = Mass x Acceleration        

image00.png        Pythagoras

image00.png        Kinetic energy = ½ x mass x speed²

image00.png        Potential energy

image00.png        Trigonometry

Also I could use the following kinetic equations

image00.png        S=UT + ½AT²

image00.png        V² = U² + 2AS

image00.png        V = U + AT

image00.png        A = (V – U)/T

As you can see from the diagram the ramp will me placed against a table at a height of 0.92M and the maximum length that the ball can be rolled is 244cm as that is the length of the slope.image01.png

Things that could affect the ball are:

  • Air resistance on the ball as it goes down the hill
  • Friction on the ball at the point where it touches the ramp
...read more.

Middle

Time  B (seconds)

Time C (seconds)

Average time (seconds)

A

B

C

A + b + c / 3

0.2

0.38

0.25

0.25

0.21

0.4

0.47

0.4

0.41

0.29

0.6

0.53

0.56

0.47

0.363333

0.8

0.69

0.65

0.65

0.446667

1

0.78

0.89

0.72

0.556667

1.2

0.96

0.85

0.84

0.603333

1.4

0.97

0.9

1.1

0.623333

1.6

0.91

1

1.03

0.636667

1.8

1.12

1.09

1.09

0.736667

2

1.15

1.15

1.13

0.766667


image03.png


The graph that my results produced wasn’t what I was expecting. After a while they results become a bit hard to predict what the next result will me.  From the results that I collect I hope to calculate:

  1. The speed of the ball,
  2. Its acceleration,
  3. Power,
  4. Velocity,
  5. Kinetic and potential energy.
  1. The speed of the ball:

If we take our table and add the speed column:

Speed = distance x time

Eg.        0.2m x 0.29 = 0.06

...read more.

Conclusion

image00.png        The surface, which the ball was rolled down, could have been uneven and as the ball was rolled at different places this could have had an effect.

GRAPHS

  1. This graph is a distance time graph- the graph was a smooth curve.  When I added a line of best fit the points were all close to the line.  Time is proportional to the distance that the ball has travelled.
  2. Graph 2 Shows force over acceleration.  To have acceleration you need a big force.
  3. Graph 3 had a funny middle in it with a hump.  I added a straight line but it still didn’t look right.  I am not sure why this happened.
  4. The distance over acceleration graph produced a straight line as you would expect as distance is proportional to the acceleration to the ball
  5. Speed against distance graph produced a smooth curve.
  6. Velocity against time started as a smooth curve but in the middle the velocity went up and then smoothed out.  The higher the ball the greater the velocity
  7. Distance against potential energy, the higher the ball the greater potential energy it has.

...read more.

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