Think about 29.1 you're playing with two of the cards (each with mass m) that you used in activity 27a. initially, these two carts are moving toward each other with the same initial speed vi along the track. the carts collide and the result is one of these final states: (a) assume that the carts hit each other and stop so that the final state of the system has both carts just sitting still (not moving). draw a momentum chart for this situation. make a separate row for each cart. (b) assume that the carts bounce o↵ each other so that the final state of the system has each cart moving opposite to its initial motion but with their speeds unchanged. draw a momentum chart for this situation. (c) as in (b), assume that the carts bounce o↵ each other but now assume that the final speeds are smaller than the initial speeds, equal and in opposite directions. draw a momentum chart. (d) for each case above, does the total momentum of the system that contains the two carts change

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.

A2.00-m long piano wire with a mass per unit length of 12.0 g/m is under a tension of 8.00 kn. what is the frequency of the fundamental mode of vibration of this wire?

The electric field inside a cell membrane is 8.0mn/c. what's the force on a singly charged ion in this field?