Consider two different processes (a) you are preparing for a bike race, and you note that the pressure in your tires is only 80 psi (5 atmospheres). for optimal performance, however, you want your tires to be at 160 psi. when you inflate the tire with a hand pump, the temperature inside the tire rises. (you can only really feel the warming effect at the metal valve stem since the rubber in the tire and tube is a good insulator.) (b) artificial snow is made by quickly releasing a mixture of compressed air and water at about 20 atm from a snow making machine to the surroundings. explain these results two different ways: (1) in terms of the first law of thermodynamics, and: (2) in terms of the ideal gas equation, assuming air behaves like an ideal gas.

Fft review: linspace, fs, fftshift, nfft 1. generate one second of a cosine of w,-10hz sampled at f, = 100hz and assign it to x. define a tt as your time axis 2. take 64 points fft. 3. as you remember, the dft (which the fft implements) computes n samples of s2t where k-0,1,2, n -1. plot the magnitude of this 64-points fft at range 0 to 63, what do you think of this graph? 4â·to get the x-axis into a hz-frequency form, plot this 64-points fft between-50 to 50 (the 100hz sampling rate) and have n-points between them. 5. according to your figure, what frequency is this cosine wave at? 6. remember that the fft is evaluating from 0 to 2ď€. we are used to viewing graphs from-ď€ to ď€. therefore, you need to shift your graph. 7. now according to your shifted graph. what frequency is this at? 8. note that the spikes have long drop-offs? try a 1024-point dft. note that the peak is closer to 10 and the drop-off is quicker. although, now sidelobes are an issue

Asmall 21 kilogram canoe is floating downriver at a speed of 1 m/s. what is the canoe's kinetic energy?

Light traveling in water, nwater = 1.33, strikes a plastic block at an angle of incidence of 51.4°; part of the beam is reflected and part is refracted. if the index of refraction of the plastic is 2.0, what is the angle made by the reflected and refracted beams?