| 1. | A sealed steel container of methane gas is slowly heated. The temperature increases by5 C every30minutes. If the initial temperature was20 C, what will the initial to final temperature ratio (Ti/Tf) be after three hours?
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| | 2. | The gravitational attraction between two objects is given by the formula F= G(m1m2/d2) where m represents the masses of the two objects, d is the distance between them and G is the gravitational constant (note: G = 6.67 x 10-11m3kg-1s-2). (a) Calculate the gravitational force between two objects (m1=495,000kg, m2=1,350,000kg) that are separated by60meters. (b) Then determine what the force is if m1is doubled and d is decreased by a factor of1/4(hint: calculate what to subtract first and then subtract from d; do not just multiply d by the fraction).
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| | 4. | Samantha dropped rock 1 (mass =1.8kg) from a height of11meters. She then dropped rock 2 (mass =2.8kg) from the same height. What was the ratio of kinetic energies of the rocks (KErock1/KErock2) when they hit the ground? (note: the acceleration of gravity is 9.81 m/s2.)
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| 5. | Stephanie is trying a new fuel formula in her go-kart. In her first trial, fuel mixture A resulted in a maximum speed of20miles per hour on a flat smooth road. On the same road, mixture B resulted in a maximum speed of40miles per hour. Mixture B appears to increase the maximum speed of the go-kart by what factor? Express your answer as a ratio of speeds.
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| | 6. | Benjamin calculated the mass of a toy car to be31.5grams. Kevin calculated the mass of the same car but made an error and obtained a mass that was greater than Benjamin's by a ratio of5to3. What was Kevin's calculation for the mass of the car?
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