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Unformatted text preview: homework 01 ASH, BEN Due: Jan 30 2008, 11:00 pm 1 Question 1, chap 1, sect 1. part 1 of 2 10 points Two points in the xy plane have cartesian coordinates ( x 1 ,y 1 ) and ( x 2 ,y 2 ), where x 1 = 8 . 6 m, y 1 = 10 m, x 2 = 10 m, and y 2 = 4 m. Determine the distance between these points. Correct answer: 23 . 28 m (tolerance 1 %). Explanation: By simple geometry of triangle, the dis tance between two points is d = radicalBig [ x 2 x 1 ] 2 + [ y 2 y 1 ] 2 = braceleftbigg bracketleftBig ( 10 m) (8 . 6 m) bracketrightBig 2 + bracketleftBig (4 m) ( 10 m) bracketrightBig 2 bracerightbigg 1 2 = 23 . 28 m . Question 2, chap 1, sect 1. part 2 of 2 10 points What is the angle between the line con necting the two points and xaxis (measured counterclockwise, within the limits of 180 to +180 )? Correct answer: 143 . 032 (tolerance 1 %). Explanation: The angle between the line connecting the two points and xaxis (positive in counter clockwise direction) is = arctan bracketleftbigg y 2 y 1 x 2 x 1 bracketrightbigg = arctan bracketleftbigg (4 m) ( 10 m) ( 10 m) (8 . 6 m) bracketrightbigg = arctan bracketleftbigg (14 m) ( 18 . 6 m) bracketrightbigg = 2 . 49637 rad = 143 . 032 deg .1010998877665544332211 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 ( 10, 4) (8 . 6, 10) 1 4 3 . 3 2 d e g Question 3, chap 1, sect 2. part 1 of 1 10 points The standard of time is based on 1. the yearly revolution of the earth about the sun. 2. the daily rotation of the earth. 3. the frequency of light emitted by 86 Kr. 4. None of these correct 5. a precision pendulum clock. Explanation: The second is defined from oscillations of cesium133 atoms. Question 4, chap 1, sect 4. part 1 of 1 10 points A spherical balloon with radius r inches has volume V = 4 3 r 3 . Find a function that represents the amount of air required to inflate the balloon from a radius of r inches to a radius of r + 1 inches. 1. 4 3 ( 3 r + 1 r 2 + 1 ) homework 01 ASH, BEN Due: Jan 30 2008, 11:00 pm 2 2. 4 3 ( r + 1) 3 3. 4 3 ( 3 r + 3 r 2 + 1 ) correct 4. 4 3 ( 1 r + 3 r 2 + 1 ) 5. 4 3 r 3 Explanation: V = 4 3 ( r + 1) 3 4 3 r 3 = 4 3 ( r 3 + 3 r + 3 r 2 + 1 r 3 ) = 4 3 ( 3 r + 3 r 2 + 1 ) . Question 5, chap 1, sect 5. part 1 of 1 10 points In one scene in the movie The Godfather II , a solid gold phones is passed around a large table for everyone to see. Suppose the volume of gold in the phone was equal to the volume of 10centimeter cube of gold (the density of gold is 19,300 kg/m 3 ). Do you think such a phone could be causu ally passed around a table from hand to hand?...
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This note was uploaded on 09/29/2008 for the course PHY 303 taught by Professor Erskine/tsoi during the Spring '08 term at University of Texas at Austin.
 Spring '08
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