one way of restating Archimedes' Principle is that the mass of a block that is floating in a fluid is equal to the mass of the fluid displaced by the block. Imagine that we have a solid block in which all sides are 1 cm long a cube with a volume of 1 cm^3. we set it in a beaker of pure water and find that, when the block and water come to rest, 70% of the block is submerged under water, so a=7 cm and b=10cm

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.

According to newton’s first law of motion, which force is expected to cause a body to accelerate?

Which of the following changes will result in a stronger electromagnet? a. using fewer coils of wire b. using a higher voltage c. using a shorter nail d. using a longer wire