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26 January, 13:58

Starting from rest, a crate of mass m is pushed up a frictionless slope of angle theta by a horizontal force of magnitude F. Use work and energy to find an expression for the crate's speed v when it is at height h above the bottom of the slope. Express your answer in terms of the variables m, F, theta, h, and free fall acceleration g v=

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  1. 26 January, 14:19
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    v = sqrt[2 * (F*h*cot (theta) - mgh) / m]

    Explanation:

    Work = KE + Ug

    F*r=1/2mv^2+mgh

    1/2mv^2=F*r-mgh

    v=sqrt[2 (F*r-mgh) / m]

    r=h/tan (theta) = h*cot (theta)
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