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Help with a Physics Lab

  1. Oct 11, 2009 #1
    1. The problem statement, all variables and given/known data
    http://apcentral.collegeboard.com/apc/public/repository/ap05_phys_laboneerror_47485.pdf

    The above link is an updated version of the lab that I'm currently typing up. I have already gathered all data necessary:

    Time taken to travel 50 meters:
    @ 1.089 degree downward slope:
    2.513 seconds
    @ 2.178 degree downward slope:
    1.600 seconds
    @ 3.269 degree downward slope:
    1.169 seconds

    Time taken to travel 100 meters:
    @ 1.089 degree downward slope:
    2.870 seconds
    @ 2.178 degree downward slope:
    2.173 seconds
    @ 3.269 degree downward slope:
    1.633 seconds

    2. Relevant equations
    I am given the following equations:

    (1-1)x=x0 + vt + at^2
    (1-2)v=v0 + at
    (1-3)a=g sin(theta)
    (1-4)X=1/2(g sin theta)t^2
    (1-5)v= (g sin theta)
    (1-6)S=1/2 (g sin theta)t^2 [This is in a graph of S vs. t^2)

    3. The attempt at a solution
    My question is:
    How do I use all these equations to work out a value of G? It states in my lab handout that "... a plot of t^2 versus S should yield a straight line with a slope equal to the reciprocal of 1/2g sin(theta). This may be used to calculate a local value of g."
     
    Last edited by a moderator: Apr 24, 2017
  2. jcsd
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