Consider flow of a very low pr number fluid (say pr = 0.005) on a heated flat plate. the plate temperature is kept constant at ts. the freestream velocity is uinf and freestream temperature is tinf. starting with the 2d steady state energy equation, simplify it for this low pr flow with clear justification for the simplifications. perform an order of magnitude analysis on the energy equation to develop an expression for local nu for this type of flow.

Identical marbles are released from the same height on each of the following four frictionless ramps . compare the speed of the marbles at the end of each ramp. explain your reasoning

Imagine you are riding on a yacht in the ocean and traveling at 20 mph. you then hit a golf ball at 100 mph from the deck of the yacht. you see the ball move away from you at 100mph, while a person standing on a near by beach would observe your golf ball traveling at 120 mph (20 mph + 100 mph). now imagine you are aboard the hermes spacecraft traveling at 0.1c (1/10 the speed of light) past mars and shine a laser from the front of the ship. you would see the light traveling at c (the speed of light) away from your ship. according to einstein’s special relativity, how fast will a person on mars observe the light to be traveling? a) 0.1c (1/10 the speed of light) b) c (the speed of light) c)1.1c (c+0.1c)

Glass has a hardness that is in the middle of the hardness scale. what is the hardness of glass?