Lecture07

# Lecture07 - PHYSICS 220 Lecture 07 Constant Acceleration...

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Lecture 7 Purdue University, Physics 220 1 Lecture 07 Constant Acceleration and Relative Velocity Textbook Sections 4.1 - 4.4, 3.5 PHYSICS 220

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Lecture 7 Purdue University, Physics 220 2 Overview Last Lecture – Dynamics in 2 D • Today – More 2-D Examples – Relative Motion
Lecture 7 Purdue University, Physics 220 3 Kinematics in Two Dimensions x and y motions are independent! They share a common time t x = x 0 + v 0x t + 1/2 a x t 2 v x = v 0x + a x t v x 2 = v 0x 2 + 2a x Δ x y = y 0 + v 0y t + 1/2 a y t 2 v y = v 0y + a y t v y 2 = v 0y 2 + 2a y Δ y x-direction y-direction

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Lecture 7 Purdue University, Physics 220 4 Projectile Motion x = x 0 + v 0x t v x = v 0x y = y 0 + v 0y t - ½ gt 2 v y = v 0y g t v y 2 = v 0y 2 – 2 g Δ y x-direction: a x = 0 y-direction: a y = -g
Lecture 7 Purdue University, Physics 220 5 You and a friend are standing on level ground, each holding identical baseballs. At exactly the same time, and from the same height, you drop your baseball without throwing it while your friend throws her baseball horizontally as hard as she can. Which ball hits the ground first? A) Your ball B) Your friends ball C) They both hit the ground at the same time Question When ball hits depends on y only! y(t) = y 0 + v yo t + ½ a y t 2 Same for both balls!

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Lecture 7 Purdue University, Physics 220 6 Two divers run horizontally off the end of a diving board. When the divers hit the water, diver 2 has covered twice the horizontal distance covered by diver 1. Is the initial speed of diver 2 A) twice as much as B) the same as C) four times the initial speed of diver 1? Quiz
Lecture 7 Purdue University, Physics 220 7 Attached Bodies All surfaces frictionless m 1 m 2 smooth peg θ 1 θ 2 on two inclined planes

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Lecture 7 Purdue University, Physics 220 8 How will the bodies move?
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