Chapter 6:Circular motion and GravitationSlide 2Slide 3Ferris wheelSlide 5Conical PendulumSlide 7No Skidding on a Curve (I)No Skidding on a Curve (II)Slide 10No Skidding on Banked CurveSlide 12Slide 13GravitationGravitational attractionGravitational Forces (I)Slide 17Cavendish balanceSlide 19Slide 20Average Density of the EarthProjectileCircular orbitSlide 24Slide 25Slide 26Slide 27Slide 28Chapter 6:Circular motion and GravitationRvmmaFRR2Work out the radial acceleration of the moon around the earth.Ferris wheelConical PendulumCenter-seeking Force: TensionCircular MotionConical PendulumNo Skidding on a Curve (I) smin = ?Center-seeking Force : Static FrictionNo Skidding on a Curve (II)r = 50.0 mm = 1000 kgv = 14.0 m/sCNo Skidding on Banked CurvearadgFsinrfrfcosrf+The tension in the upper string is 80 NGravitation1 22-11 2 2 G=gravitational constant = 6.673(10) 10 /gGm mFrNm kg=�EThe weight of a body of mass m on the earth's surface with radius Note: R isw2 2 or E EE EGm m Gmmg gR Rw�= = =Newton’s Law of GravitationGravitational attractionNote: Two particles of different mass exert equally strong gravitational force on each otherGravitational Forces (I)‘‘Attractive Force” MM ME FG = G r 2 MEMMWhy is the Aggie not falling off the earth?Remember there is equally strong attraction between the earth and the Aggie and vice versaCavendish balanceCavendish(1798) announced that he has weighted the earthg = 9.80 m/s2RE = 6.37 x 106 mME = 5.96 x 1024 kgE = 5.50 x 103 kg/m3 = 5.50 g/cm3 ~ 2 x RockAverage Density of the EarthProjectileCircular orbit22/EEG m mmvr rv Gm r� �==memeGrGrrvrT32222The larger r then slower the speed and the larger the periodWork and EnergyBlack holeSteven Hawkins is associated with the department of Physics and Astronomy at TAMU(will be derived later)This would increase the sun’s mass. There is a second way: Decrease sun radiusHow can the sun become a Black
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