Homework 5 - homework 05 – BAUTISTA ALDO – Due Feb 1...

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Unformatted text preview: homework 05 – BAUTISTA, ALDO – Due: Feb 1 2006, 4:00 am 1 Version number encoded for clicker entry: V1:1, V2:4, V3:2, V4:4, V5:3. Question 1 Part 1 of 2. 10 points. A particle travels between two parallel ver- tical walls separated by 19 m. It moves to- ward the opposing wall at a constant rate of 8 . 8 m / s. It hits the opposite wall at the same height. The acceleration of gravity is 9 . 8 m / s 2 . 19 m 9 . 8m / s 2 8 . 8 m / s a) What will be its speed when it hits the opposing wall? Correct answer: 13 . 7611 m / s (tolerance ± 1 %). Explanation: Let : d = 19 m , v x = 8 . 8 m / s , g = 9 . 8 m / s 2 , Basic Concepts Kinematics equations v = v o + g t s = s o + v o t + 1 2 g t 2 d g 10 . 5795m / s 8 . 8 m / s 1 3 . 7 6 1 1 m / s 3 9 . 7 5 3 5 5 . 71055 m The horizontal motion will carry the parti- cle to the opposite wall, so d = v x t f and t f = d v x = (19 m) (8 . 8 m / s) = 2 . 15909 s . is the time for the particle to reach the oppo- site wall. Vertically, the particle reaches its maxi- mum height at t h = t f 2 = d 2 v x , so the initial vertical velocity v y is v y = g t h = g d 2 v x = (9 . 8 m / s 2 ) (19 m) 2 (8 . 8 m / s) = 10 . 5795 m / s . The velocities act at right angles to each other, so the resultant velocity is v f = q v 2 x + v 2 y = q (8 . 8 m / s) 2 + (10 . 5795 m / s) 2 = 13 . 7611 m / s . Question 2 Part 2 of 2. 10 points. b) At what angle with the wall will the particle strike? homework 05 – BAUTISTA, ALDO – Due: Feb 1 2006, 4:00 am 2 Correct answer: 39 . 7535 ◦ (tolerance ± 1 %). Explanation: When the particle strikes the wall, the ver- tical component is the side adjacent and the horizontal component is the side opposite the angle, so tan θ = v x v y , so θ = arctan v x v y = arctan 8 . 8 m / s 10 . 5795 m / s = 39 . 7535 ◦ . Note: The particle reaches a height h = 1 2 g t f 2 2 = 1 2 (9 . 8 m / s 2 ) (2 . 15909 s) 2 2 = 5 . 71055 m . Question 3 Part 1 of 1. 10 points....
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This note was uploaded on 10/13/2009 for the course PHY 303K taught by Professor Turner during the Spring '08 term at University of Texas.

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Homework 5 - homework 05 – BAUTISTA ALDO – Due Feb 1...

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