Roller coaster physics problem!

  • Thread starter crtsmnn
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  • #1
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1. A diagram of a roller coaster is given. In the diagram, there are 3 humps in the track. At the top of the first hump(point A) the height is 60m from the ground. Point B is at the bottom of point A and is 5m below the ground. (height from point A to B is -65m). From point B to point C is 64m. From point C to D is -67m. From point D to E is 71m.
The coaster is at rest at point A.
Vy = final velocity
Vx = initial velocity
g = acceleration due to gravity (-9.8m/s)
hxy = the difference in height from point x to point y




2. Vy2 = Vx2 + 2ghxy



3. The first question is to find the velocity of the coaster at point B.
Vy2 = 0 + 2(-9.8)(-65)xy
Vy2 = 1274
√Vy2 = √1274
Vy = 35.69m/s



all i really need is a confirmation of my answer. I don't know why but i think i might be wrong.

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
rock.freak667
Homework Helper
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31
Yes that would be correct.

Also in your final equation, what you are essentially doing is equation KE and PE at the various points.
 

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