problem12_70

University Physics with Modern Physics with Mastering Physics (11th Edition)

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12.70: a) In moving to a lower orbit by whatever means, gravity does positive work, and so the speed does increase. b) ( 29 so , , From 2 / 1 2 / 1 E 2 E 2 - = = r Gm v r Gm r v ( 29  ∆ = - - = - 3 E 2 / 3 2 / 1 E 2 2 r Gm r r r Gm v Note that a positive r is given as a decrease in radius. Similarly, the kinetic energy is ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 = - = × = = × - = - = = = × = = - = + = - = = = = K U r r m Gm K r m Gm E r Gm r v r Gm v r r m Gm K U W r r m Gm U r r m Gm K r m Gm mv K 2 , J 10 70 . 6 2 / (12.15)), Eq. (from J 10 95
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Unformatted text preview: / m/s, 9 . 28 2 , m/s 10 72 . 7 c) (a). part with agreement is , 2 / and / , / 2 1 so and , / 2 1 2 1 8 2 E 10 E 3 E 3 E 2 E 2 E 2 E E 2 J. 10 70 . 6 and J 10 34 . 1 8 9 ×-= ∆-= ×-K W d)As the term “burns up” suggests, the energy is converted to heat or is dissipated in the collisions of the debris with the grounds....
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