Lesson_1.1_Homework_Solution

# Lesson_1.1_Homework_Solution - Lesson 1 Homework Solutions...

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Lesson 1 Homework Solutions 1. In doing a calculation, you end up with a unit of m in the numerator and ms -2 in the denominator. What are your final units? 2 2 m m s s = 2. (a) Convert 120 kmh -1 to ms -1 (b) Convert 25 ms -1 to kmh -1 3 1 1 1000 ( ) 120 120 3600 10 ( ) 25 25 2 33.3 . 53 . 6 1 360 9. 0 0 ms k km m a hs m s s m m b h k = = 3. If x = C 1 + C 2 t where the unit of x is in meter and t is in seconds, what are the units of C 1 and C 2 ? If x is measured in meters, then C 1 must also be in meters and C 2 t must also be in meters. Since t is in seconds, C 2 must by m/s. m mms s =+ 4. How many megameters are there in a kilometer? A megameter is 10 6 m and a kilometer is 10 3 m. Therefore, the number of megameters in a kilometer = 10 3 /10 6 = 10 -3 . 5. Perform the following calculations using the correct number of significant figures: (i) 3 3 25 6.75 1.2 10 7.8 10 8.9 10 1750 4.1 10 = ×× × × × . (ii) 2.2 x 10 -3 × 1200 × 3.56 x 10 5 = 9.4 × 10 5 6. If one atom of copper has a mass of 4.8 × 10 -26 kg. How many copper atoms are there in 20 g of copper? 23 3 26 4. 20 10 kg number of c 21 0 opper atoms 4.8 10 kg = × × = ×

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7. A spherical metal shell has an inner diameter of 8.32 cm and an outer diameter of 10.52 cm. What is the volume of the metal that makes up the shell? The inner radius r = 4.16 cm = 0.0416 m The outer radius R = 5.26 cm = 0.0526 m Volume of a sphere is: 3 4 3 Vr π = The volume of the solid part of the shell = Outer volume – inner volume 33 3 3 3 4 3 3 444 () 333 4 (0.0526 0.0416 ) 3.080 10 m 3 Rr R r πππ =− = = × R r 8. Distinguish between a vector quantity and a scalar quantity. How is speed different from velocity? How is the distance traveled by an object different from its displacement? A vector quantity has a magnitude and a direction. A scalar quantity has only magnitude. The distance traveled by an object is the length of its path. It is a scalar quantity. Displacement is the shortest distance
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Lesson_1.1_Homework_Solution - Lesson 1 Homework Solutions...

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