Final speed of the spheres center of mass
A sphere of radius r starts from rest and rolls without slipping along a curved surface, dropping through a vertical distance of 0.440 m. Find the final speed v of the sphere's center of mass.
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This means, coincidentally, that Io is about as far from Jupiter's surface as our moon is from the Earth's surface (i.e., quite close). Io's radius is 1821 km and its mass is 8.93 x 1022 kg. Calculate the tensional force inside Io, as a result of
Simulate at least 5000 intervals and note the proportion that contained the mean. Note how the proportions correspond to the confidence levels. What you should observe is that the percentage that do not contain the mean will be VERY close to the a
Calculate the work done by the spring when it is stretched from its equilibrium position to 0.056m past its equilibrium. Answer in units of mJ.
Calculate the rate at which heat is supplied to the water heater by the heat pump (kW). Calculate the minimum power required to operate the heat pump.
What is the change in exergy of the system above? Assume p0 is 1 bar and T0 is 25 degrees C and b) Repeat part a with 5 kg of air.
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Determine the power input to the pump in kW. Determine the power output from the turbine in kW. Determine the thermal efficiency of the cycle.
In the absence of premilinary data, how large a sample must be taken so as to be sure that a 98% confidence interval will specify the proportion to within ±0.05.
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