Explanation Given info: The comets travel around the sun in an elliptical orbit, the speed of the comet is 2 × 10 4 m/s when it is at a distance of 2.5 × 10 11 m from the center of the sun. Formula to calculate the total energy of the comet by applying law of conservation of energy is, K i + U i = K f + U f (I) K i is the initial kinetic energy of the comet. U i is the initial potential energy of the comet. K f is the final kinetic energy of the comet. U f is the final potential energy of the comet. Formula to calculate the initial kinetic energy of the comet is, K i = 1 2 m v 1 2 m is the mass of the comet. v i is the initial speed of the comet. Formula to calculate the initial potential energy of the comet is, U i = − G M m r 1 G is the universal gravitational constant. M is the mass of the sun. r 1 is the radial distance of the comet from the centre of the sun at the initial position of the comet. Formula to calculate the final kinetic energy of the comet is, K f = 1 2 m v 2 2 v 2 is the final speed of the comet. Formula to calculate the final potential energy of the comet is, U f = − G M m r 2 r 2 is the radial distance between the sun and the comet at the final position of the comet. Substitute 1 2 m v 1 2 for K i , − G M m r 1 for U i , 1 2 m v 2 2 for K f and − G M m r 2 for U f in the equation (I) to find v 2

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ISBN: 9781269542661

Author: YOUNG

Publisher: PEARSON C

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Chapter 13, Problem 13.65P

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The speed of the comet when it is at a distance of 5.0×1010 m from the center of the earth.

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Chapter 13, Problem 13.64P

Chapter 13, Problem 13.66P

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Chapter 13 Solutions

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The speed of the comet when it is at a distance of 5.0 × 10 10 m from the center of the earth.

Solution Summary: The author explains that the speed of the comet is 6.8times 104m/s when it travels around the sun in an elliptical orbit.

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The speed of the comet when it is at a distance of 5.0×1010 m from the center of the earth.

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Chapter 13 Solutions