PHYS310_homework_09_solutions

PHYS310_homework_09_solutions - Homework set 9, due...

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Unformatted text preview: Homework set 9, due Wednesday, November 2, 11:30 am Following problems from Analytical Mechanics by Fowles & Cassiday 1. 7.3 b g v v v =- o r r r Since momentum is conserved and the bullet and gun were initially at rest: b g mv Mv = + r r g b v v = - r r , m M = ( 29 1 b v v = + o r r 1 b v v = + o r r 1 g v v = - + o r r 2. 7.6 When a ball reaches the floor, 2 1 2 mv mgh = . As a result of the bounce, v v = . The height of the first bounce: 2 1 2 mgh mv = 2 2 2 2 2 2 v v h h g g = = = Similarly, the height of the second bounce, 2 4 h h h = = Total distance 2 4 2 2 2 1 2 n n h h h h = = + + + =- + K Now 1 n n a ar r = =- , 1 r < . 2 2 2 2 2 1 1 2 1 1 1 n n = + - + = - + = -- total distance 2 2 1 1 h + = - For the first fall, 2 1 2 gt h = o , so 2 h t g = o For the fall from height h : 1 2 2 h h t g g...
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This note was uploaded on 12/07/2011 for the course PHYS 310 taught by Professor Jones,m during the Fall '08 term at Purdue University-West Lafayette.

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PHYS310_homework_09_solutions - Homework set 9, due...

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