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**Unformatted text preview: **Chapter 4: Motion in Two and Three Dimensions
46 Projectile Motion Analyzed 47 Uniform Circular Motion 48 Relative Motion in One Dimension 49 Relative Motion in Two Dimensions Chapter 4 Homework 1, 5, 7, 13, 15, 21, 24, 26, 31, 43, 57, 60, 63, 71, 78, 104, 114, 120 Projectile Motion
Constant Acceleration: a = - g^ j ax = 0 v x = v0 x = constant x = v0 x t
ay = -g v y = v0 y - gt 1 2 y = v0 y t - gt 2 2 v 2 = v0 y - 2 gy y v0 x = v0 cos 0 v0 y = v0 sin 0 Example
Sample Problem 4-6: Rescue Capsule Find the angle . Find the angle . h = 500 m, v0 = 55.0 m/s Example
Sample Problem 4-7: Projectiles with equal initial and final elevations Given initial velocity (v0 and 0), find Height H Time of flight T Range R Uniform Circular Motion Uniform constant speed (v) Circular travel around a circle (radius r) v2 Centripetal a= Acceleration r
Period of Revolution 2r T= v Examples
Homework Problem 60: An earth satellite moves in a circular orbit 640 km above Earth's surface with a period of 98.0 min. What are the speed and magnitude of the centripetal acceleration of the satellite? Sample Problem 4-10: Find magnitude of centripetal acceleration, in g unit, of a horizontal circular motion. ^ + 500 ^) m/s, v f = (-400i - 500 ^) m/s, t = 24.0 s ^ vi = (400i j j Midterm Exam #1 Thursday September 13 during the class: 75 minutes Chapters 1 4 15 multiple choices and 3 free response problems Bring a Scantron sheet and a calculator Closed-book, closed-note, One page of "cheat sheet" single-sided, letter-size (8.5x11 in) paper hand-written by yourself no printing or photocopy must be turned in with your exam ...

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