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Q. A 2 liter aluminum cylinder at 5 °C is filled to the brim with gasoline at the same temperature. If the aluminum and gasoline are warmed to 60 °C, how much gasoline spills out? [Hint: Be sure to account for the expansion of the container. Also, overlook the possibility of evaporation, and assume volume coefficients are good to three digits.]
Q. If one were placed on the moon by an astronaut and the other were left on the earth, and if they were connected by a very light (and very long!) string, what will be the tension in the string? State your answer in newtons and in pounds.
A concrete highway curve of radius 60 m is banked at a 13.0^circ angle. What is the maximum speed with which a 1300 kg rubber-tired car can take this curve without sliding? (Take the static coefficient of friction of rubber on concrete to be 1.0.)
If 3.43×10^8 electrons flow through the ground wire to Earth and the ground wire is then removed, what is the net charge on the electroscope.
Three pendulums with strings of the same length and bobs of the same mass are pulled out to angles q1, q2 and q3 respectively and free. The approximation sin q = q holds for all three angles, with q3 > q2 > q1. How do the angular frequencies of th..
A bus is traveling up a hill at a speed of 34m/s. The hill is 23 degrees relative to horizontal and the coefficient of static friction between the bus's tires and the road is 0.6. What is the car's minimum breaking distance?
The magnitude of the acceleration due to gravity
The top of a refrigerator has an area of 0.6m2. The height of the refrigerator is 180 cm. What volume does refrigerator occupy in cubic meters.
What is the total momentum of system after the collision.
The G string of a guitar which should be 397 Hz is playing flat at 380 Hz. What percentage change in the tension of the wire is necessary so as to tune the string to 392 Hz.
A uniform steel beam has a mass of 1640 kg. On it is resting half of an identical beam. What is the vertical support force at each end.
A motor boat haeds due east at 5 m/s acorss a river that flows toward the south at 5 m/s. If the river is 125m wide, how longs does it take the boat to cross the river.
A rookie quarterback throws a football with an initial upward velocity component of 15.33 and a horizontal velocity component of 20.4. Overlook air resistance.
Assume that a 16.5 m/s wind is blowing across the roof of your house. The density of air is 1.29 kg/m3. Conclude the reduction in pressure (below atmospheric pressure of stationary air) that accompanies this wind.
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