An initially uncharged 3.47-μf capacitor and a 6.43-kω resistor are connected in series to a 1.50-v battery that has negligible internal resistance. what is the initial current in the circuit, expressed in milliamperes? calculate the circuit\'s time constant in milliseconds. how much time, in milliseconds, must elapse from the closing of the circuit for the current to decrease to 2.57% of its initial value?

Abug is 12 cm from the center of a turntable that is rotating with a frequency of 45 rev/min . what minimum coefficient friction is required so that the bug stays on the turntable?

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.

When an object is heated it contracts. a. true b. false