PHY183-Lecture09pre-1

PHY183-Lecture09pre-1 - 1 January 25, 2012 Physics for

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Unformatted text preview: 1 January 25, 2012 Physics for Scientists&Engineers 1 1 Physics for Scientists & Engineers 1 Physics for Scientists & Engineers 1 Spring Semester 2012 Lecture 9 Maximum Height and Range January 25, 2012 Physics for Scientists&Engineers 1 2 Shoot the Monkey Shoot the Monkey Scenario: A zookeeper needs to tranquilize a monkey that has escaped. The monkey is hanging from a branch in a tree. The zookeeper aims directly at the monkey and pulls the trigger on her dart gun. The sound of the dart gun startles the monkey, who lets go of the branch when he hears the gun go off. Shoot the Monkey Illustration Shoot the Monkey Illustration January 25, 2012 Physics for Scientists&Engineers 1 3 January 25, 2012 Physics for Scientists&Engineers 1 4 Slow Motion Replay Slow Motion Replay Because everything happened so fast, here is a super slo mo replay A Walk in the Woods A Walk in the Woods Problem Suppose you take a short hike in the woods. On the first leg of your walk, you travel 100. m due east. On the second leg, you travel 200. m at an angle of 45.0 degrees west of due north. What is your total displacement? THINK Displacement is a vector. Need its magnitude Need its angle relative to due east We can add these two displacements using the component method of vector addition January 25, 2012 Physics for Scientists&Engineers 1 5 A Walk in the Woods (2) A Walk in the Woods (2) SKETCH January 25, 2012 Physics for Scientists&Engineers 1 6 2 A Walk in the Woods (3) A Walk in the Woods (3) RESEARCH We can add these two vectors using their components The first displacement is in the positive x-direction Y-component is zero The second displacement has both x and y components January 25, 2012 Physics for Scientists&Engineers 1 7 1 2 r r r = + 1 2 x x x = + 1 2 y y y = + 2 2 2 2 2 2 cos and y sin x r r = = 2 90 45 135 = + = 2 2 r x y = + 1 arctan tan y y x x = = A Walk in the Woods (4) A Walk in the Woods (4) Simplify CALCULATE January 25, 2012 Physics for Scientists&Engineers 1 8 1 2 1 2 2 cos x x x x r = + = + 2 2 sin y r = ( ) ( ) 2 2 2 2 1 2 2 2 2 cos sin r x y x r r = + = + + ( ) ( ) ( ) ( ) 2 2 100 200 cos 135 200 sin 135 r m m m = + + 147.362 r m = A Walk in the Woods (4) A Walk in the Woods (4) CALCULATE contd January 25, 2012 Physics for Scientists&Engineers 1 9 1 1 147.42 tan tan 74.31 41.42 y x = = = ( ) 100 200 cos 135 41.42 x m m m = + = ( ) ( ) 200 sin 135 141.42 y m m = = A Walk in the Woods (5) A Walk in the Woods (5)...
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This note was uploaded on 04/02/2012 for the course PHY 183 taught by Professor Wolf during the Spring '08 term at Michigan State University.

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PHY183-Lecture09pre-1 - 1 January 25, 2012 Physics for

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