Recent content by tkim90

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    Proving linearity of a function

    I'm stumped on what seems to be a simple proof question, but I don't know what to do. Question: (c) Show that the LSE of the mean Y0 = B0 + B1x0 is a linear function of the data Yi, for i = 1,2,…,n where x0 is a known constant. Could someone help me to at least start this problem? So...
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    Finding speed of a block on a ramp/pulley

    So that means I need vf for m1 and m2, but that gives me two variables. How can I solve them individually? Do they have the same speed since they are connected? Thanks for the help by the way.
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    Finding speed of a block on a ramp/pulley

    Does m2 have KE as well, or only m1?
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    Finding speed of a block on a ramp/pulley

    OK. So to find PE of m1 before and after, I need the height of m1 before and after. I assumed that xi for m1 is 0.2m Using trigonometry: sin40 = \frac{hi}{0.2meters} hi = 0.13m and hf = 0m Right?
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    Finding speed of a block on a ramp/pulley

    Ok, this is my work: 0.5k(xf)^2 + m2ghf + 0.5m1v^2 = 0.5k(xi)^2 + m2ghi 0.5k(0.4)^{2} + m2g(0.4) + 0.5m1v^{2} = 0.5k(0.2)^{2} + m2g(0.2) + 0 0.5(250)(0.4)^{2} + (30)(9.8)(0.4) + 0.5(20)v^{2} = 5 + 59 20 + 117.6 + 10v^{2} = 64 10v^{2} = -73.6 :/
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    Finding speed of a block on a ramp/pulley

    Homework Statement A 20kg block (m1) slides on a 40 degree frictionless ramp. This block is connected to a 30kg block (m2) by a string that passes over a frictionless pulley. The 30kg block is 20cm above the floor and connected to a spring of negligible mass with spring constant 250N/m...
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