solution-hw14

solution-hw14 - lai(yl8859 HW14 Ross(15200 1 This print-out...

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Unformatted text preview: lai (yl8859) HW14 Ross (15200) 1 This print-out should have 7 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 2) 10.0 points Assume: Moving to the right is positive. A(n) 9 . 4 g object moving to the right at 10 cm / s makes an elastic head-on collision with a 21 g object moving in the opposite direction at 46 cm / s. 9 . 4 g 10 cm / s 21 g 46 cm / s Find the velocity of the first object imme- diately after the collision. Correct answer:- 67 . 3684 cm / s. Explanation: Let : m 1 = 9 . 4 g , m 2 = 21 g , v 1 = 10 cm / s , and v 2 =- 46 cm / s . From the relative velocities, we have v 1- v 2 = v 2 f- v 1 f v 2 f = v 1- v 2 + v 1 f . Momentum is conserved, m 1 v 1 + m 2 v 2 = m 1 v 1 f + m 2 v 2 f m 1 v 1 + m 2 v 2 = m 1 v 1 f + m 2 ( v 1- v 2 + v 1 f ) m 1 v 1 + m 2 v 2- m 2 ( v 1- v 2 ) = v 1 f ( m 1 + m 2 ) Solving for v 1 f , we have v 1 f = m 1 v 1 + m 2 v 2- m 2 [ v 1- v 2 ] m 1 + m 2 = (9 . 4 g) (10 cm / s) + (21 g) (- 46 cm / s)...
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solution-hw14 - lai(yl8859 HW14 Ross(15200 1 This print-out...

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