You are working in a lab where rc circuits are used to delay the initiation of a process. one particular experiment involves an rc circuit with a half-life of t1/2 = 3.00 s. your supervisor is concerned that the initiation of the process is occurring too soon and that the half-life needs to be extended. he asks you to change the resistance of the circuit to make the half-life longer. all you can find in the supply room is a single 48.0 ω resistor. you look at the rc circuit and see that the resistance is 40.0 ω. you combine the new resistor with the old to extend the half-life of the circuit. determine the new half-life (in s).

If the thermal strain developed in polyimide film during deposition is given as 0.0044. assume room temperature is kept at 17.3 c, and thermal coefficient of expansion for the film and the substrate are 54 x 10^-6c^-1 and 3.3 x 10^-6c^-1respectively. calculate the deposition temperature.

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.

Different types of steels contain different elements that alter the characteristics of the steel. for each of the following elements, explain what the element does when alloyed with steel.