hw22_s - homework 22 – YOO, HEE – Due: Mar 22 2008,...

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Unformatted text preview: homework 22 – YOO, HEE – Due: Mar 22 2008, 4:00 am 1 Question 1, chap 11, sect 2. part 1 of 1 0 points A 0.443 kg bead slides on a straight fric- tionless wire with a velocity of 3.21 cm/s to the right, as shown. The bead collides elas- tically with a larger 0.683 kg bead initially at rest. After the collision, the smaller bead moves to the left with a velocity of 0.67 cm/s. . 443 kg 3 . 21 cm / s . 683 kg Find the distance the larger bead moves along the wire in the first 4.1 s following the collision. Correct answer: 10 . 3181 cm (tolerance ± 1 %). Explanation: Basic Concepts: m 1 vectorv 1 ,i = m 1 vectorv 1 ,f + m 2 vectorv 2 ,f since v 2 ,i = 0 m/s. Δ x = v Δ t Given: Let to the right be positive: m 1 = 0 . 443 kg v 1 ,i = +3 . 21 cm / s m 2 = 0 . 683 kg v 1 ,f = − . 67 cm / s t = 4 . 1 s Solution: v 2 ,f = m 1 v 1 ,i − m 1 v 1 ,f m 2 = (0 . 443 kg)(3 . 21 cm / s) . 683 kg − (0 . 443 kg)( − . 67 cm / s) . 683 kg = 2 . 5166 cm / s to the right. Thus Δ x = (2 . 5166 cm / s)(4 . 1 s) = 10 . 3181 cm Question 2, chap 11, sect 2. part 1 of 2 10 points Consider the collision of two identical par- ticles, where the initial velocity of particle 1 is v 1 and particle 2 is initially at rest. 1 2 v 1 After an elastic head-on collision, the final velocity of particle 2 v ′ 2 is given by 1. v ′ 2 = v 1 3 2. v ′ 2 = 0 3. v ′ 2 = 5 v 1 3 4. v ′ 2 = v 1 4 5. v ′ 2 = 2 v 1 3 6. v ′ 2 = 4 v 1 3 7. v ′ 2 = v 1 correct 8. v ′ 2 = 2 v 1 9. v ′ 2 = v 1 2 10. v ′ 2 = 3 v 1 4 Explanation: For the final velocity of particle 2 after an elastic collision, we have v ′ 2 = 2 v cm − v 2 . For the present case, v cm = m 1 v 1 + m 2 v 2 m 1 + m 2 = v 1 2 . So v ′ 2 = 2 parenleftBig v 1 2 parenrightBig − 0 = v 1 . homework 22 – YOO, HEE – Due: Mar 22 2008, 4:00 am 2 Question 3, chap 11, sect 2. part 2 of 2 10 points Next replace particle 1 by a sledge hammer with mass m 1 = 10 kg, particle 2 by a golf ball with a mass m 2 = 10 g. Consider the elastic head-on collision between the hammer and the ball....
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This note was uploaded on 05/04/2008 for the course PHY 303K taught by Professor Turner during the Spring '08 term at University of Texas.

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hw22_s - homework 22 – YOO, HEE – Due: Mar 22 2008,...

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