MSU PHYS101 - Week 1 Assignment Solutions

MSU PHYS101 - Week 1 Assignment Solutions - Week 1...

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Week 1 Assignment Questions and answers Phys 101 Online (All references are from the text book: th ed. Belmont,CA: Thomson.) 1. One mile is equal to 1,609m. Express this distance in kilometers and in centimeters. (Reference: back of the book) A kilometer is 1000 m. Therefore: 1,609 m * (1 km/1000) one mile is 1.609 kilometers. A centimeter is .01 m Therefore: 1,609 m * (1 cm/.01 m) one mile is 160,900 centimeters. 2. In 2003, the world record in the 200m dash was 19.32 s. What was the average speed in (Reference: pg 21) V avg = D tot /T tot where D is distance, V avg is the average velocity, and T is time. a. m/s? V = 200 m / 19.32 s = 10.4 m/s b. Mph? 1 mile is 1.6 km or 1600 m 3600 secs. in 1 hour. Therefore: 10.4 m/s * ( 1 mi. / 1600m) * (3600 s/ 1 hr.) = 23.4 mph c. km/hr? 1 km is 1000 m 3600 seconds in 1 hour. Therefore: 10.4 m/s * (1 m / 1000 km) * (3600 s/ 1 hr.) = 37.4 kph
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3. A long distance runner has an average speed of 4m/s during a race. How far does the runner travel in 20minutes? (Reference: pg 21) D tot = V avg /T tot where D is distance, V is velocity, and T is time. and there are 60 seconds in one minute therefore Dtot = (4 m/s) *20 minutes*(60 s/min) The runner runs a total of 4800 m in 20 mins. 4. On a day when the wind is blowing toward the south at 1.2 m/s a runner jogs west at 1.6 m/s. What is the velocity (speed and direction) of the air relative to the runner? (ref: pp 23-25) This is not explicitly stated in the book. You must use vector addition to complete. Vrel = Vwind + Vrunner This is a vector equation thus: Vrel (x-direction) = Vwind (x-dir) + Vrunner (x-dir) Vrel (y-dir) = Vwind (y-dir) + Vrunner (y-dir) Set up coordinate system… x-direction: East Negative thus West Positive. y-direction: North Negative thus South Positive. Vrel = 1.2 m/s (x-dir) + 1.6 m/s (y-dir) By Pythagorean theorem (page 25) Magnitude = 2 m/s Direction = 216 degree (south of west) For more information, please visit: http://hyperphysics.phy-astr.gsu.edu/hbase/vect.html http://www.1728.com/vectutor.htm
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5. The graph in Figure 1.38 (on page 43 of your textbook) shows the distance versus time for an elevator as it moves up and down in a building. Compute the elevator’s velocity at the times marked a, b, and c. (ref: pp 18-23)
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MSU PHYS101 - Week 1 Assignment Solutions - Week 1...

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