ch09-p080 - so this is not a surprising conclusion. (d) The...

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80. (a) We use Eq. 9-68 twice: v 2 = 2 m 1 m 1 + m 2 v 1 i = 2 m 1 1.5 m 1 ( 4.00 m/s) = 16 3 m/s v 3 = 2 m 2 m 2 + m 3 v 2 = 2 m 2 1.5 m 2 (16/3 m/s) = 64 9 m/s = 7.11 m/s . (b) Clearly, the speed of block 3 is greater than the (initial) speed of block 1. (c) The kinetic energy of block 3 is K 3 f = 1 2 m 3 v 3 2 = © § ¹ · 1 2 3 m 1 © § ¹ · 16 9 2 v 1 i 2 = 64 81 K 1 i . We see the kinetic energy of block 3 is less than the (initial) K of block 1. In the final situation, the initial K is being shared among the three blocks (which are all in motion),
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Unformatted text preview: so this is not a surprising conclusion. (d) The momentum of block 3 is p 3 f = m 3 v 3 = 1 2 2 m 1 16 9 v 1 i = 4 9 p 1 i and is therefore less than the initial momentum (both of these being considered in magnitude, so questions about sign do not enter the discussion)....
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

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