1) The Louisville fountain sits in the Ohio river and throws water 400 ft (122m) into the air. Water has a density of 1000kg/m3.
a) What must the pressure be above atmospheric pressure in the base of the water column so that it will support a column of water this high?

b) Suppose the area of the base of the platform is 40m2 and the sides of the platform are vertical. If an additional force downward of 2x104 N results from the pumping action, how much lower in the water must the platform sit when the pump runs than when the pump is off?

c) What temperature increase do you expect from the water falling from the top of the fountain to the bottom assuming no heat is lost during the fall? The specific heat of water is 4180 J/kg oC.

2) Scientists working for Bell Telephone labs in the 1950's discovered a microwave background radiation comming from space which was later determined to be the leftover signal from the Big Bang which began the universe. The maximum intensity of the signal occured at a wavelength of about 1.1mm. What is the frequency of this radiation?

3) Brown in 1827 originally observed pollen grains of mass 2x10-12 kg in the water at a temperature of 20 oC. What was the rms speed of the pollen grains? (This motion, called Brownian motion, was later investigated by Einstein and others and lead to our current belief in the existence of molecules.)

4) Transverse seismic waves in rock caused by earthquakes in Kobe, Japan were captured by a detector. The graph of the displacement versus time is given by the formula
d = 0.3 cos (500 t) meters.
a) What is the maximum amplitude of the displaced rock from equilibrium?

b) What is the angular frequency of vibration of the rock?

c) What is the frequency of oscillation of the rock?

c) If the wavelength was 10m, what is the speed of the wave?

5) The heart pumps blood into the aorta with an average pressure of 0 .14 atm. If the radius of the aorta is 0.005 m, what is the average force exerted by the heart on the blood entering the aorta?

Bonus:
Explain the second law of thermodynamics.
Explain the four methods of heat transfer?