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P2 Tutorial 1 Solutions

P2 Tutorial 1 Solutions - Physics2Tutorial1 Fall2011 1...

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Physics 2 Tutorial 1 9/28/2011 Fall 2011 1. Iron has a property such that a 1.00 m^3 volume has a mass of 7.86x10^3 kg (i.e. its density is 7.86x10^3 kg/m^3). You want to manufacture iron cubes. Find the length of the side of a cube of iron that has a mass of 350.0 g. Give your answer in units of cm using scientific notation to the correct number of sig figs. Solution: Density P = Mass/Volume=M/V. For a cube, V = L^3. We are interested in finding L and know M and P for our cubes. Substituting L^3 for V, one obtains P = M/L^3, which implies L = (M/P)^(1/3). One needs to convert grams to kilograms, such that 350.0g(kg/1000g) = 0.3500 kg. Thus L = (0.3500 kg/ 7.86x10^3 kg/m^3)^(1/3) = 0.0354 m. This needs to be in cm, so multiply 0.0354m by (100cm/m) to obtain 3.54 cm or, in scientific notation with correct sig figs, 3.54x10^0 cm. 2. Bike or Drive to Campus. Jon lives 6 miles from campus (the ARC) in Santa Ana. Due to a poor parking situation, he must park his car three‐quarters of a mile away from his apartment and it takes him 15 minutes to walk to his car. Once in his car, he drives an average of 45 mph to campus. Since Jon is a cheapskate, he parks in Verano Place and then walks 18 minutes to the physics building. Alternatively, if Jon bikes to campus, he rides his bike an average speed of 12 mph for the entire journey to
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