A 75-kg person enters a 1,500-kg car, and the suspension system compresses by 1 cm. Treating the entire suspension system as a single ideal spring, what is its spring constant? Treating the car and driver as single mass on this ideal spring, what is its natural frequency of oscillation?
Part B: Pressure on Tires The front tires of the car are inflated to a gauge pressure of 35 psi (241.3 kPa) on a warm afternoon day when the air temperature is 30ºC. The weather in Colorado changes very quickly; the next morning the temperature is 0ºC. What is the gauge pressure of the tires at this lower temperature? Assume that the atmospheric pressure is a constant value of 101 kPa.
Part C: Heat Engine Model the car’s engine as an ideal heat engine with a hot reservoir at a temperature of 2,500ºC and a cold reservoir at a temperature of 100ºC. What is the theoretical maximum efficiency of this car engine? A gallon of gasoline has about 140 MJ of chemical energy; assuming the engine runs at the theoretical maximum efficiency, how much useful work would this engine be able to perform by burning one gallon of gasoline?
Part D: The Radiator The radiator of a car is responsible for removing excess heat from the engine’s cold reservoir. What power does the radiator emit if it has a temperature of 100ºC, a surface area of 1.2 m 2 , and an emissivity of 0.97?
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