Unformatted text preview: stray marks or the answer sheet may not be read properly. >>>>>>>> BEFORE YOU FINISH <<<<<<<< Fold the computer printout so your name is on top, include any ﬁgure sheet inside the printout. Hand in the green answer sheet separately. Useful Equations: cos 2 θ + sin 2 θ = 1 sin(2 θ ) = 2cos( θ )sin( θ ) cos(2 θ ) = cos 2 θsin 2 θ ~ A · ~ B = A x B x + A y B y + A z B z ~ A · ~ B =  ~ A  ~ B  cos θ sin30 ◦ = cos60 ◦ = 1 / 2 ~x~x = ~v t + 1 2 ~at 2 ~v = ~v + ~at ~ V AC = ~ V AB + ~ V BC cos30 ◦ = sin60 ◦ = √ 3 / 2 1 2 ( v 2v 2 ) = ~a · ( ~x~x ) v = √ 2 ax f k = μ k F N tan30 ◦ = √ 3 / 3 ~ F = m~a g = 10m / s 2 f s ≤ μ s F N tan60 ◦ = √ 3 a r =v 2 /R cos45 ◦ = sin45 ◦ = √ 2 / 2 W = R ~ F · d~x W = ~ F · ~ d W ext = Δ K + Δ U sin37 ◦ ≈ cos53 ◦ ≈ 3 / 5 K = 1 2 mv 2 W S = 1 2 kx 2 ~ F S =k~x cos37 ◦ ≈ sin53 ◦ ≈ 4 / 5 P = dW dt U = mgh U = 1 2 kx 2 P = ~ F · ~v...
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This note was uploaded on 12/07/2011 for the course PHY 2048 taught by Professor Field during the Fall '08 term at University of Florida.
 Fall '08
 Field
 Physics

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