Lecture14 - PHYSICS 149: Lecture 14 Chapter 5: Circular...

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PHYSICS 149: Lecture 14 • Chapter 5: Circular Motion 4 Circular Orbits of Satellites and Planets – 5.4 Circular Orbits of Satellites and Planets hapter : Conservation of Energy Chapter 6: Conservation of Energy – 6.1 The Law of Conservation of Energy – 6.2 Work Done by a Constant Force Lecture 14 Purdue University, Physics 149 1
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ILQ 1 Two children ride on a merry-go-round. Bob is 2 m om the axis of rotation and Mary is 4 m from the from the axis of rotation and Mary is 4 m from the axis. Which is true: A) Mary has larger speed and acceleration but the same angular speed B) Bob has larger speed, acceleration, and angular speed C) Mary has larger speed, acceleration, and angular speed ( ) 2 r ω ecall: v = Lecture 14 Purdue University, Physics 149 2 c ar r = = Recall: v ω r 2
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ILQ 2 A spider sits on a turntable that is rotating at a onstant 33 rpm The acceleration f the spider is constant 33 rpm. The acceleration a of the spider is ) onzero and independent of the location of the spider on A) nonzero and independent of the location of the spider on the turntable. B) greater the closer the spider is to the central axis. C) greater the farther the spider is from the central axis. D) zero. Lecture 14 Purdue University, Physics 149 3
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Kepler’s Laws Elliptical Equal areas in 2 = R 3 orbits… q equal time T R Lecture 14 Purdue University, Physics 149 These were empirical laws 4
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Kepler’s First Law of Planetary Motion • The orbit of each planet around the Sun is an llipse with the Sun at one focus. ellipse with the Sun at one focus. Lecture 14 Purdue University, Physics 149 5
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Kepler’s Second Law of Planetary Motion • As a planet moves around its orbit, a line drawn from a planet to the Sun sweeps out equal areas in equal time intervals. Î This means that a planet travels faster when it is nearer to the Sun and slower when it is farther from the Sun. Lecture 14 Purdue University, Physics 149 6
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Kepler’s Third Law of Planetary Motion • The square of the orbital period is proportional to e cube of the average distance from the planet the cube of the average distance from the planet to the Sun. T 2 r 3 Î This means that more distant planets orbit the Sun at slower average speeds. Lecture 14 Purdue University, Physics 149 7
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ILQ The figure below shows the orbit of a comet about the sun. The comet has the greatest velocity when traveling A) from A to B. B) from B to C. C) from C to D. D) from D to E. Lecture 14 Purdue University, Physics 149 8
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Circular Orbits of Planets and Satellites • Newton’s Law of Universal Gravitation: this case, e gravitational force .g., acting 12 2 Gm m F d = In this case, the gravitational force (e.g., acting on a planet due to Sun, or acting on a satellite due to Earth) is the centripetal force.
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This note was uploaded on 04/23/2011 for the course PHYS 149 taught by Professor Staff during the Spring '08 term at Purdue University-West Lafayette.

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Lecture14 - PHYSICS 149: Lecture 14 Chapter 5: Circular...

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