Asolid cylinder has a mass of 1 kg and a radius of 0.1 m. starting from rest, the cylinder rolls down a ramp angels at 30 degree from the horizontal. the ramp is 1 m long and the cylinder rolls without slipping. how fast is it traveling parallel to the ramp at the moment it reached the bottom? g= 10 m/s^2 10 m/s
sqrt(10/3)
sqrt(10)
sqrt(20/3)
2sqrt10

Astronomers discover an exoplanet (a planet of a star other than the sun) that has an orbital period of 3.87 earth years in its circular orbit around its sun, which is a star with a measured mass of 3.59 x 1030 kg. find the radius of the exoplanet's orbit.

As part of an industrial process, air as an ideal gas at 10 bar, 400k expands at steady state through a valve to a pressure of 4 bar. the mass flow rate of air is 0.5 kg/s. the air then passes through a heat exchanger where it is cooled to a temperature of 295k with negligible change in pressure. the valve can be modeled as a throttling process, and kinetic and potential energy effects can be neglected. (a) for a control volume enclosing the valve and heat exchanger and enough of the local surroundings that the heat transfer occurs at the ambient temperature of 295 k, determine the rate of entropy production, in kw/k. (b) if the expansion valve were replaced by an adiabatic turbine operating isentropically, what would be the entropy production? compare the results of parts (a) and (b) and discuss.

How do we measure or think of speed in the united states?