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Amusement Park Physics With a NASA Twist - Space Flight Systems ...

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Fill in the table below according to the following descriptions:<br />

Optimal hill—The marble is close to free fall for the longest period of time, and is softly caught at<br />

the bottom. This is the fastest ride while still staying on the track.<br />

Safe hill—The marble stays on the track, but is not traveling as fast as it could, nor does it remain<br />

close to free fall for the maximum amount of time.<br />

Unsafe hill—The marble leaves the track and possibly hits the other side of the track, or the marble<br />

doesn’t have enough speed to go over a hill or complete a loop.<br />

Starting<br />

height<br />

Hill A Hill B Hill C<br />

1<br />

unsafe<br />

unsafe<br />

optimal<br />

Don't forget to return<br />

the marbles!<br />

2<br />

unsafe<br />

optimal<br />

safe<br />

3<br />

optimal<br />

safe<br />

safe<br />

Conclusion<br />

1. Which hill type is optimal when starting the marble at level 1, and why do you think this is true<br />

Hill C because level 1 has the highest starting point and the highest middle hill requiring the most potential<br />

energy.<br />

2. Which hill type is optimal when starting the marble at level 2, and why do you think this is true<br />

Hill B because level 2 is the middle starting point and has the midsized hill requiring a medium amount<br />

of potential energy.<br />

3. Which hill type is optimal when starting the marble at level 3, and why do you think this is true<br />

Hill A because the lowest starting point has the lowest hill requiring less potential energy.<br />

4. When you ride down a roller coaster hill, does the angle of the slope of the track make a<br />

difference in the sensation that you get on the ride Why The steeper the slope of the hill, the<br />

more frightening the ride, because the track is not supporting the car as much as when it is not as steep.<br />

Thus, the rider has the sensation of being in a free-fall environment.<br />

111<br />

<strong>Amusement</strong> <strong>Park</strong> <strong>Physics</strong> <strong>With</strong> a <strong>NASA</strong> <strong>Twist</strong><br />

EG–2003–03–010–GRC

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