S99s - Physics 4A FIRST EXAM Chapters 1 4 Spring 1999 Name...

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Physics 4A FIRST EXAM Chapters 1 - 4 Spring 1999 1 Name:_________________________________________ Solve the following problems in the space provided. Use the back of the page if needed. Each problem is worth 20 points. You must show your work in a logical fashion starting with the correctly applied physical principles which are on the last page. Your score will be maximized if your work is easy to follow because partial credit will be awarded. 1. A hiker walks 2.50km northward then 5.00km southwest. Find (a)the total distance traveled by the hiker and (b)the total displacement of the hiker. (c)Sketch the three displacements on the axes at the right (+y = north and +x = east ). (a)Distance is not a vector, so distances just add, d = a + b = 2.50 + 5.00 d = 7.50km . (b) r a = 2.50 ˆ j and r b = - 5cos45˚ ˆ i - 5sin45˚ ˆ j = - 3.54 ˆ i - 3.54 ˆ j . r r = r a + r b = (2.50 ˆ j ) + ( - 3.54 ˆ i - 3.54 ˆ j ) = ( - 3.54) ˆ i + (2.50 - 3.54) ˆ j = ( - 3.54) ˆ i + ( - 1.04) ˆ j Using the Pythagorean Theorem, r = r x 2 + r y 2 = ( - 3.54) 2 + ( - 1.04) 2 r = 3.69km . and the definition of tangent
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S99s - Physics 4A FIRST EXAM Chapters 1 4 Spring 1999 Name...

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