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# lecture06 - Exam I Physics 101 Lecture 06 Today's lecture...

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Physics 101: Lecture 6, Pg 1 Physics 101: Lecture 06 Today’s lecture will cover Chapter 4 Exam I

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Physics 101: Lecture 6, Pg 2 • Newton’s Laws of motion: Σ F=ma •Kinematics: x = x 0 + v 0 t + ½ a t 2 •Dynamics •Today we work in 2 Dimensions!
Physics 101: Lecture 6, Pg 3 X and Y are INDEPENDENT! Break 2-D problem into two 1-D problems y x

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Physics 101: Lecture 6, Pg 4 Position, Velocity and Acceleration are Vectors! x and y directions are INDEPENDENT! x direction y direction
Physics 101: Lecture 6, Pg 5 5 m/s 3 m/s A ball is rolling on a horizontal surface at 5 m/s. It then rolls up a ramp at a 25 degree angle. After 0.5 seconds, the ball has slowed to 3 m/s. What is the magnitude of the change in velocity? A) 0 m/s B) 2 m/s C) 2.6 m/s D) 3 m/s E) 5 m/s y x x-direction v ix = 5 m/s v fx = 3 m/s cos(25) Δ v x = 3cos(25)–5 =-2.28 m/s y-direction v iy = 0 m/s v fy = 3 m/s sin(25) Δ v y = 3sin(25)=+1.27 m/s

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Physics 101: Lecture 6, Pg 6 5 m/s 3 m/s A ball is rolling on a horizontal surface at 5 m/s. It then rolls up a ramp at a 25 degree angle. After 0.5 seconds, the ball has slowed to 3 m/s. What is the average acceleration? y x x-direction y-direction
Physics 101: Lecture 6, Pg 7 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 and y motions are independent !

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