Kool-aid contains allura red dye. a student makes a kool-aid solution by diluting 61.2 mg of kool-aid with water to a total volume of 25.00 ml using a volumetric flask. because this solution is too concentrated (measured absorbance > 1.0), the student then dilutes a small sample of the kool-aid solution by taking 0.500 ml of the solution and mixing it with 0.500 ml of water (a ½ dilution). the absorbance of the ½ diluted solution is 0.315. using the beer’s law curve, determine the concentration of the dye in the original kool-aid.

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

During a steady flow process, the change of energy with respect to time is zero. a)- true b)- false

Aturning operation is performed with following conditions: rake angle of 12°, a feed of 0.35 mm/rev, and a depth of cut of 1.1 mm. the work piece is aluminum alloy 6061 with t6 heat treatment (a16061-t6). the resultant chip thickness was measured to be 1.0 mm. estimate the cutting force, fc. use shear stress of 207 mpa and coefficient of friction on the tool face of 0.6.