Your 'ball down ramp' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** Your general comment **
** Will a steeper ramp give greater or lesser time? **
The time required to roll the length of the ramp will be least for the steepest ramp.
** As slopes increases will time intervals increase, decrease or show no pattern? **
I would expect the time intervals to decrease with increasing steepness.
** Your report of 5 trials each way for 1 domino **
1 1.328
2 1.297
3 1.531
4 1.328
5 1.203
6 1.641
7 1.844
8 1.734
9 1.906
10 1.875
The data from each trial represents the time it takes for the ball to roll down the ramp, starting from a resting state, and strike the bracket. The data indicated that my desk and ramp setup was not level. I marked a point about 3 cm below the top end of the ramp, placed a domino at this point to hold the ball back, and placed the ball just above the domino. I pulled the domino back to release the ball and started the timer at the same instant. The ball rolled freely down the ramp and struck the bracket. At that instant I stopped the timer. I repeated this procedure for each trial, reversing the system after the fifth trial.
** Your report of 5 trials each way for 2 dominoes **
1 1.000
2 1.016
3 1.109
4 0.922
5 1.016
6 1.281
7 1.156
8 1.172
9 1.172
10 1.234
The data from each trial represents the time it takes for the ball to roll down the ramp, starting from a resting state, and strike the bracket. The data indicated that my desk and ramp setup was not level. For the second set of ten trials, I increased the steepness of the ramp by placing two dominoes, instead of one, under the two upper corners of the book. I placed a domino at the 3cm mark to hold the ball back and placed the ball just above the domino. I pulled the domino back to release the ball and started the timer at the same instant. The ball rolled freely down the ramp and struck the bracket. At that instant I stopped the timer. I repeated this procedure for each trial, reversing the system after the fifth trial.
** Your report of 5 trials each way for 3 dominoes **
1 0.859
2 0.875
3 0.922
4 0.828
5 0.859
6 0.984
7 1.047
8 1.000
9 0.953
10 0.953
** Do your results support or fail to support your hypothesis about increasing or decreasing times? **
My results support the hypotheses I stated in the first two questions. The results show that the time required to roll the length of the ramp is the least for the steepest ramp. The time intervals decreased with increasing steepness of the ramp.
** How do you think ave velocity is related to slope? **
The average velocity of the ball will increase with increasing steepness of the slope of the ramp.
** Speculate on why ave velocity changes with slope. **
With increasing steepness of the slope of the ramp, the force of friction working against gravity decreases, and therefore, the average velocity increases.
** How could you test your speculations? **
Use the data to calculate the average vel. for each of the three ramp positions/heights and then graph vel. vs. ramp height.
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2 hours
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Your work looks good. Let me know if you have any questions. &#