Monday, December 6, 2010

Dueling Ramps


Consider the two frictionless ramps shown in the above sketch. Identical gliders are positioned so that their center of masses are both 10 meters above the ground. Answer as many of these questions as you can... ...

  1. What is the acceleration of the glider on the left ramp?
  2. What is the acceleration of the glider on the right ramp?
  3. How fast is the glider on the left moving when it reaches the ground?
  4. How fast is the glider on the right moving when it reaches the ground?
  5. Which glider reaches the ground first *and why*?

11 comments:

  1. This is very confusing because I don't know the mass. Does anyone else know what to do?

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  2. I dont think it matters because there identical gliders so you could just put in any mass for both.

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  3. Yea I think you are right it doesn't matter what the mass is as long as you keep it a constant for both. I was also wondering about which glider would hit the ground first. I think the one on the right would because it has a steeper angle. What do you think?

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  4. yeah i think the one on the right as well. Since theyre both 10m high on the ramp and it has a much larger angle it makes it a steeper ramp. and that will give it a faster accelaration to get to the bottom

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  5. Spree and Pinto: you're correct! The one on the right will reach the ground first. Now, what about the question of the glider's final speeds? You can mathematically calculate a lot of information in this problem, including the lengths of the ramps, the acceleration of each, etc.

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  6. The one on the right will reach the ground first. It doesnt matter what the mass is. For this problem, I believe the mass for both would be the same

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  7. Why will the one on the right hit the ground first?

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  8. The one on the right will hit the ground first because the glider has a shorter lenght to travel and also the angle has a bigger incline which i think will cause it travel faster

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  9. I got an acceleration of 4.14 m/s2 for the glider on the left, and an acceleration of 8.49 m/s2 for the glider on the right.

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  10. the ramp on the right would go faster because it is a higher degree (steeper) and thus closer to gravity and pulling it faster to the end of the ramp in conclusion.

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  11. Thanks for the comments this week!

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