If you're writing about a theory with Yang-Mills/Gauge fields for an arbitrary reductive gauge group coupled to arbitrary matter fields in some representation, is it best to call it a Yang-Mills theory or a Gauge theory?

I've heard that one is more likely to refer to a theory with no matter sector - but I can't remember which one! Or are the terms basically interchangeable in the context of quantum field theory?

A rocket is launched at an angle of 53.0° above the horizontal with an initial speed of 98 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 31.0 m/s2. At this time, its engines fail and the rocket proceeds to move as a projectile.

(a) Find the maximum altitude reached by the rocket.

(b) Find its total time of flight.

(c) Find its horizontal range.

EXPLAIN ANSWERS PLEASE THE FIRST PERSON I ASKED BEFORE GOT IT WRONG

Optical fibers use reflection to guide light through a channel. Explain, in your own words, how optical fibers are made in order for the light to be reflected off the cladding instead of refracted into it?

A 30.0?F capacitor is charged to 210?C and then connected across the ends of a 4.20mH inductor.

A.Find the maximum current in the inductor.

B.At the instant the current in the inductor is maximal, how much charge is on the capacitor plates?

2. Heat added to a substance goes partly into the translational kinetic energy of its molecules, which directly elevates temperature. For some substances, large proportions of heat also go into vibrations and rotations of the molecules. Discuss whether you’d expect materials in which a lot of energy goes into non-translational molecular motions to have a high or low specific heat capacity?

The two stars in a certain binary star system move in circular orbits. The first star, Alpha, has an orbital speed of 36.0km/s. The second star, Beta, has an orbital speed of 12.0km/s. The orbital period is 137d.

What is the mass of the star Alpha?

What is the mass of the star Beta?

One of the best candidates for a black hole is found in the binary system called A0620-0090. The two objects in the binary system are an orange star, V616 Monocerotis, and a compact object believed to be a black hole. The orbital period of A0620-0090 is 7.75hours, the mass of V616 Monocerotis is estimated to be 0.67 times the mass of the sun, and the mass of the black hole is estimated to be 3.8times the mass of the sun. Assuming that the orbits are circular, find the radius of the orbit of the orange star.

Find the radius of the orbit of the black hole.

Find the orbital speed of the orange star.

Find the orbital speed of the black hole.

Two in-phase loudspeakers are located at (x, y) coordinates (-2.5 m, +2.0 m) and (-2.5 m, -2.0 m). They emit identical sound waves with a 2.5 m wavelength and amplitude a. Determine the amplitude of the sound at the five positions on the y-axis (x = 0) with y = 0.0 m, 0.5 m, 1.5 m, and 2.0 m.

Using kinematic relation s = v_0t +(1/2)at^2 , I got the 2 equations: 172.8m = 5.682V_0 + 16.143a and 140.3m = 4.930V_0 + 12.152a. How do I get Initial velocity and acceleration out of that? m=meters and t is seconds

Determine the magnitude of the electric field at the surface of a lead-206 nucleus, which contains 82 protons and 124 neutrons. Assume the lead nucleus has a volume 206times that of one proton and consider a proton to be a sphere of radius 1.20 ? 10^-15 m.  ??? N/C

A) Calculate the kinetic energy of a proton (1.67×10−27kg) traveling 8.30×10⁷ m/s .

B) Calculate the momentum of a proton (1.67×10−27kg) traveling 8.30×10⁷ m/s .

C) By what percentages would your calculations have been in error if you had used classical formulas?

Calculate the binding energy per nucleon for the following isotopes.

(a) ⁹Be

b) ¹⁹⁵Pt

(c) ⁶⁴Zn

(d) ⁷Li

• What does it mean for two variables, such as current and potential, to have a linear relationship to each other? Describe two devices— incandescent lamps and diodes— in which current and potential do not follow Ohm’s Law. Why are these two devices exceptions? Use Kirchhoff’s loop rule for potentials and junction rule for currents to describe how a single battery in a car can be used to power multiple electrical devices.

6) An airplane is flying over the countryside with a velocity of 85.0 m/s at an angle of 19.5o with respect to the horizontal. The airplane releases a crate of supplies when it is 85 m directly above a person standing on the ground. How far from the person will the crate land?

7) A motorcycle stunt rider rides horizontally off the edge of a vertical cliff of height 8.5 m and lands safely 12.3 m from the base of the cliff.
a) With what velocity did the motorcycle leave the cliff?
b) What was the direction of the motorcycle