A swimmer is swimming to the left with a speed of 1.0\,\dfrac{\text m}{\text s}1.0 s m 1, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction when she starts to speed up with constant acceleration. The swimmer reaches a final speed of 2.5\,\dfrac{\text m}{\text s}2.5 s m 2, point, 5, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction over a distance of 5.0\,\text m5.0m5, point, 0, start text, m, end text. How long did the swimmer take to speed up to 2.5\,\dfrac{\text m}{\text s}2.5 s m 2, point, 5, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction?

Heena wants to measure the volume of a ball that is 24 cm across. how should she set up her equation?

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.

An ice-making machine inside a refrigerator operates in a carnot cycle. it takes heat from liquid water at 0.0 degrees celsius and rejects heat to a room at a temperature of 19.2 degrees celsius. suppose that liquid water with a mass of 76.3kg at 0.0 degrees celsius is converted to ice at the same temperature. take the heat of fusion for water to be l_f = 3.34*10^5 j/kg.how much energy e must be supplied to the device? express your answer in joules.