1. derivation of rc filtering properties consider an rc low-pass filter. a. using the relation i = c dv dt for a capacitor and ohm’s law v = ir for a resistor, show that the governing equation across the capacitor is given by vout + τ dvout dt = vin where τ = rc. b. suppose that the input and output voltages are varying sinusoidally, vin/out ∼ sin(ωt). since sin(ωt) = im(e iωt ), one can analyze the behavior using complex numbers. using variables vin = aine iωt , vo

Aracecar driver has to hold on tightly when going around a banked curve. approximately what is the centripetal force on a 2220.0 kg car going around a circle with a diameter of 190.0 meters at 25.0 m/s?

During the apollo moon missions, astronauts were concerned about the effects of newton's third law of motion when: o a. they ejected waste water, because they were concerned that it would push them off course. o b. they reentered earth's atmosphere, because they were carrying heavy moon rocks. o c. they took off from earth, because a large force was required to generate large acceleration. o d. they detected incoming space debris, because the inertia of the debris could damage their ship.

Veronica’s velocity was measured as 4.3 m/s. she displaced 20 meters in 4.7 seconds. which piece of information is missing for the correct calculation of velocity? the starting point the direction the end point the time per meter