Consider the surface to be frictionless.

$\overline{){\mathbf{P}}{\mathbf{.}}{{\mathbf{E}}}_{{\mathbf{0}}}{\mathbf{+}}{\mathbf{K}}{\mathbf{.}}{{\mathbf{E}}}_{{\mathbf{0}}}{\mathbf{=}}{\mathbf{P}}{\mathbf{.}}{{\mathbf{E}}}_{{\mathbf{f}}}{\mathbf{+}}{\mathbf{K}}{\mathbf{.}}{{\mathbf{E}}}_{{\mathbf{f}}}{\mathbf{}}}$

Total energy:

E = P.E + K.E

P.E = mgh

K.E = (1/2)mv^{2}

Using conservation of energy, find the speed v_{b} of the block at the bottom of the ramp. Express your answer in terms of some or all the variables m, v, and h and any appropriate constants.

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