A0.5 kg block of aluminum (caluminum=900j/kg⋅∘c) is heated to 200∘c. the block is then quickly placed in an insulated tub of cold water at 0∘c (cwater=4186j/kg⋅∘c) and sealed. at equilibrium, the temperature of the water and block are measured to be 20∘c. if the original experiment is repeated with a 1.0 kg aluminum block, what is the final temperature of the water and block? if the original experiment is repeated with a 1.0 kg copper (ccopper=387 j/kg⋅∘c) block, what is the final temperature of the water and block? if the original experiment is repeated but 100 g of the 0∘c water is replaced with 100 g of 0∘c ice, what is the final temperature of the water and block? if the original experiment is repeated but 100 g of the 0∘c water is replaced with only 25 g of 0∘c ice, what is the final temperature of the water and block?

Two horizontal plates with infinite length and width are separated by a distance h in the z direction. the bottom plate is moving at a velocity u. the incompressible fluid trapped between the plates is moving in the positive x-direction with the bottom plate. align gravity with positive z. assume that the flow is fully-developed and laminar. if the systems operates at steady state and the pressure gradient in x-direction can be ignored, do the following: 1. sketch your system 2. identify the coordinate system to be used. 3. show your coordinates and origin point on the sketch. list all your assumptions. 5. apply the continuity equation to your system. nts of navier stokes equations of choice to your system 7. solve the resulting differential equation to obtain the velocity profile within the system make sure to list your boundary conditions. check units of velocity 8. describe the velocity profile you obtain using engineering terminology. sketch that on the same sketch you provided in (1). 9. obtain the equation that describes the volumetric flow rate in the system. check the units.

4. if you were an astronaut on the moon, what would you experience? what would you see from your perspective?

What is the orbital period of a spacecraft in a low orbit near the surface of mars? the radius of mars is 3.4×106m.