In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the following expression, where x is in centimeters and t is in seconds. x = (5.00 cm) cos(5t + π/6) (a) At t = 0, find the position of the piston. WebAssign will check your answer for the correct number of significant figures. (b) What is its velocity? WebAssign will check your answer for the correct number of significant figures. (c) What is its acceleration? WebAssign will check your answer for the correct number of significant figures. (d) Find the period and amplitude of the motion. Period: WebAssign will check your answer for the correct number of significant figures. Amplitude: WebAssign will check your answer for the correct number of significant figures.

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.

If two students are running down the hall toward each other, trying to get to class, and they have the same mass and acceleration, what will happen when they collide? will their forces cancel out or will each one experience a reaction?

By what factor does the drag force on a car increase as it goes from 65 to 110 km/h?