Aseries rlc circuit is driven by an ac voltage source with amplitude, vo, angular frequency, w, and sine wave time dependence. express your answers to these questions using the capacitance, c, resistance, r, and inductance, l, of the individual circuit elements and the permittivity of free space, €0. a. what is the current though the inductor, ilo? b. find the voltage, vl(t), across the inductor. c. find the voltage, vc(t), across the capacitor. d. determine the angular frequency, 00, when the voltage across the resistor, vr(t), is the same as the ac voltage source. e. the ac voltage source is replaced suddenly with a wire. what is the current, i(t), through the circuit a long time after this change?

Aparticle of mass m is projected with an initial velocity v0 in a direction making an angle α with the horizontal level ground as shown in the figure. the motion of the particle occurs under a uniform gravitational field g pointing downward. (a) write down the lagrangian of the system by using the cartesian coordinates (x, y). (b) is there any cyclic coordinate(s). if so, interpret it (them) physically. (c) find the euler-lagrange equations. find at least one constant of motion. (d) solve the differential equation in part (c) and obtain x and y coordinates of the projectile as a function of time. (e) construct the hamiltonian of the system, h, and write down the hamilton’s equations (canonical equations) of motion.

You have a pick-up truck that weighed 4,000 pounds when it was new. you are modifying it to increase its ground clearance. when you are finished

Agirl throws a ball. if the ball's acceleration is 12 m/sec/sec and its mass is 0.5 kg, how much force did the girl apply to the ball?