184 Circular Motion and Other Applications of Newton’s LawsP6.66Let the x–axis point eastward, the y-axis upward, and the z-axis point southward.(a)The range is Zvgii=22sinθThe initial speed of the ball is thereforevgZii==°=sin.sin..2980 28596 053 0afmsThe time the ball is in the air is found from ∆yvt atiyy=+122as053 048 04 902=°−.sin..2bgejttgiving t=804. s.(b)vRixei×°=286 40026 37 1035 086 4003796πφπcos.cos.sms(c)360° of latitude corresponds to a distance of 2Re, so 285 m is a change in latitude of∆φ=FHGIKJ°=×FHGGIKJJ×−SRe2360285637 103602 56 1063m2 mdegrees..The final latitude is then φφfi=− = °−°=°∆35 0 0 002 5634 997 4..The cup is moving eastward at a speed vRfxef=286 400coss, which is larger than the eastward
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .