329_Physics ProblemsTechnical Physics

# 329_Physics ProblemsTechnical Physics - Chapter 11...

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Chapter 11 331 P11.17 (a) zero (b) At the highest point of the trajectory, x R v g i = = 1 2 2 2 2 sin θ and y h v g i = = max sin θ b g 2 2 L r v i j i k 1 1 1 2 2 2 2 2 2 2 = × = + L N M M O Q P P × = m v g v g mv m v v g i i xi i i sin ± sin ± ± sin cos ± θ θ θ θ b g b g O R v i v 2 v i v xi = θ ± i FIG. P11.17 (c) L i v i i j k k 2 2 2 3 2 2 = × = = × = − = R m R v g mR v v mRv mv g i i i i i ± sin ± cos ± sin ± sin ± sin sin ± , where θ θ θ θ θ θ e j (d) The downward force of gravity exerts a torque in the –z direction. P11.18 Whether we think of the Earth’s surface as curved or flat, we interpret the problem to mean that the plane’s line of flight extended is precisely tangent to the mountain at its peak, and nearly parallel to the wheat field. Let the positive x direction be eastward, positive y be northward, and positive z be vertically upward. (a) r k k = = × 4 30 4 30 10 3 . ± . ± km m a f e j p v i i L r p k i j
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