Spring Constants, Work, and Force

AI Thread Summary
The discussion revolves around a physics problem involving a skateboarder using a spring to launch off a ramp. Given a mass of 70 kg, a spring constant of 625 N/m, and a ramp angle of 60°, the calculations show that the maximum height achieved after launch is 11.4 m. To determine if the skateboarder will clear the ramp, this height must exceed the ramp's height at its end. Clarification is sought on the skateboard's speed as it enters the ramp, with confusion noted regarding the term "it." The main focus remains on calculating whether the skateboarder can successfully launch off the ramp based on the derived height.
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Homework Statement


Suppose for some unexplained reason you are skateboarding and wanted to use a spring to launch you off a ramp. Assuming you have a mass of 70 kg, if the spring has a spring constant k = 625N/m and is compresed 5m.
1.If the ramp has a 60° and is 10m long, will you make it off the ramp?
2. How high will you go?
3. How fast will it be going when it enters the ramp (ignore friction)?


Homework Equations


1/2mv(intial)squared + mgh(initial) + 1/2k(initial)xsquared = 1/2mv(final)squared + mgh(final) +1/2k(final)xsquared


The Attempt at a Solution


To get the first answer, the second question has to be answered. I got 1/2k(intial)xsqured = mgh(final). 1/2(625)(5)squared = 70(9.8)h(final). 7812.5 = 686h(final). 11.4m=h(final).
After this, I have no clue how to get the first and third question.


Thanks ahead of time.
 
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To answer #1, you need to determine whether the result in #2 is higher than the end of the ramp.

In #3, I do not understand what "it" is.
 
The it in #3 is the skateboard... I think.

And the answer to #2 is 11.4m=h(finial). But I don't understand how to get the answer to number one.
 
I think I have the answers. Thanks for the help.
 
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