1. a battery can be modeled as a source of emf in series with both a resistance of 10 ω and an inductive reactance of 5 ω. for a maximum power delivered to the load, the load should have a resistance of rl = 10 ω, an inductive reactance of zero, and a capacitive reactance of 5 ω. with this load, is the circuit in resonance?
a)yes
b)no
c)it depends on the voltage provided by the battery.
2. with this load, what fraction of the average power put out by the source of emf is delivered to the load?
a)0
b)0.2
c)0.5
d)0.7

When an object moves in uniform circular motion, the direction of its acceleration is a) in the same direction as its velocity vector. b) in the opposite direction of its velocity vector c) is directed toward the center of its circular path. d) is directed away from the center of its circular path. e) depends on the speed of the object.

The discovery that the universe appears to be expanding led to a widely accepted theory called a.) the big bang theory b.) the doppler effect c.) hubble’s law d.) solar nebular theory e.) the seyfert theory

Consider a double atwood machine constructed as follows: a mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. the other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. using two suitable generalized coordinates, set up the lagrangian and use the lagrange equations to find the acceleration of the mass 4m when the system is released. explain why the top pulley rotates even though it carries equal weights on each side.