A particle in an experimental apparatus has a velocity given by v=k√s, where v is in millimeters per second, the position s is millimeters, and the constant k = 0.32 mm1/2s-1. If the particle has a velocity v0 = 6 mm/s at t = 0, determine the particle position, velocity, and acceleration as functions of time. To check your work, evalutate the time t, the position s, and the acceleration a of the particle when the velocity reaches 24 mm/s.

Two flowing streams of argon gas are adiabatically mixed to form a single flow/stream. one stream is 1.5 kg/s at 400 kpa and 200 c while the second stream is 2kg/s at 500 kpa and 100 ? . it is stated that the exit state of the mixed single flow of argon gas is 150 c and 300 kpa. assuming there is no work output or input during the mixing process, does this process violate either the first or the second law or both? explain and state all your assumptions.

The force on a cutting tool are 2600n vertically downward and 2100 horizontal. determine the resultant force acting on the tool and the angle at which it acts.

Shafts are machine elements that are used to a) carry axial loads b) direct shear loads c) transmit power d) rotate at constant speed e) none of the above circular and square shafts subjected to the same torque under the same circum behave a) the same way b) almost the same way