Consider an ideal gas turbine cycle with two stages of compression and two stages of expansion.  The pressure ratio across each compressor stage and each turbine stage is 5 to 1. The pressure at the entrance to the first compresor is 100 kPa, the temperature entering each compressor is 25°C (298 K), and the temperature entering each turbine is 1100°C (1373 K). An ideal regenerator is also incorporated into the cycle.  For the air involved, it may be assumed that Cp = 1.005 kJ/kg.K and the specific heat ratio, k = 1.4.

(a) The compressor work is __ kJ/kg. (b) The turbine work is __ kJ/kg. (c) The cycle efficiency is __ %.

A plane mirror rotates about a vertical axis in its plane at 35 revs s^-1 and reflects a narrow beam of light to a stationary mirror 200 m away. This mirror reflects the light normally so that it is again reflected from the rotating mirror. The light now makes an angle of 2.0 minutes with the path it would travel if both mirrors were stationary. Calculate the velocity of light.

Please can you explain the solution to this question step by step with a clear diagram! I am really confused on what to picture when about a vertical axis in its plane at 35 revs s^-1 and when it says , light now makes an angle of 2.0 minutes with the path? how can an angle be in seconds?

I worked out the fields radiated by an electric dipole in class, and they are also in 11.1.2 of the text. These fields carry energy away and we know the radiated power. From the point of view of the source of the time dependent current (and charge) in the dipole, the antenna could just as well be a resistance with resistance R. Find the value of this resistance, known as the “radiation resistance.”

Griffiths Intro to Electrodynamics

What is the qualitative mouvement for an electric dipole sitting in situation a) horizontally below a charge q and b) vertically below a charge q? Explain whether one has a translation, which one has a faster translation, or why there is no translation at all.

In Chapter 10, we are working on simple harmonic motion. What similarities do you see in the motion of the skater in the simulation to the simple harmonic motion described in Chapter 10? Use the pendulum as an example and discuss changes in velocity, potential energy, kinetic energy and damped motion.

Light of wavelength 650 nm is incident on a long, narrow slit. Find the angle of the first diffraction minimum for each of the following widths of the slit

(a) 1 mm

............rad

(b) 0.1 mm

...........rad

(c) 0.01 mm

..........rad

A solid, homogeneous sphere with a mass of m₀, a radius of r₀ and a density of ρ₀ is placed in a container of water. Initially the sphere floats and the water level is marked on the side of the container. What happens to the water level, when the original sphere is replaced with a new sphere which has different physical parameters? Notation: r means the water level rises in the container, f means falls, s means stays the same. Combination answers like 'f or s' are possible answers in some of the cases.

The new sphere has a mass of m = m₀ and a radius of r < r₀. (choose from r, f, s, r or s, f or s )
The new sphere has a radius of r = r₀ and a density of ρ > ρ₀. (choose from r, f, s, r or s, f or s )
The new sphere has a radius of r = r₀ and a mass of m < m₀. (choose from r, f, s, r or s, f or s )

1. In your own words, explain why a single interaction between two particles may be represented with more than one possible Feynman diagram

I need 3 & 4... free free to answer 1 & 2 if you want!

Lenses may be simple ones with two spherical curved surfaces on a piece of transparent material like glass or plastic, or much more complex and compounded of different elements each with sometimes a different material. The surfaces do not have to be spherical, and manufacturing techniques today allow combining these "aspheric" lenses in designs that produce exquisite detail in an image. Your cell phone camera lens is an example, as are the lenses of a larger digital or photographic camera. This week's problem is chosen to get to the basics of lenses and how they work because they are the most common essential component of optical instruments. Starting with Snell's law, you can show that a lens has a property called a "focal length" such that 1/f = 1/p + 1/q where p is the distance to the object in front of the lens, and \(q\) is the distance from the lens to the image it forms. This applies to a lens so thin that the thickness of the glass is small compared to these distances. Light from infinity must form an image at q = f Written this way, there is a convention to measure the distance to the object as positive to the left of the lens, and the distance to the image as positive to the right of the lens.

1. Where does light coming from a distance f in front of the lens form an image? Explain.

2. If I want a lens to be halfway between an object and a screen where the image forms, what is the focal length of the lens? You may answer generally, or if you prefer a specific case let the object and the screen be 10 cm apart.

3. The focal length of a thin lens is given by the "lens maker's equation" 1 divided by f space equals space left parenthesis n minus 1 right parenthesis space left parenthesis 1 divided by R subscript 1 space minus space 1 divided by R subscript 2 right parenthesis This works when you can neglect the spacing between the surfaces, that is, when the radii are much bigger than the thickness of the lens. It is simple enough, but perilous for problems because of how the signs have to be interpreted. A lens surface that curves outward so that it is thicker at the center on that surface is "convex". One that curves inward, making it thinner at the center on that side, is concave. By convention, the sign of \(R\) is positive if the lens is convex to the incoming light, and negative if it is concave. Here n is the index of refraction of the glass relative to the medium it is in (say air), and the \(R\)'s are the radii of the surfaces of the lens. Thinking of light as coming from the left, the radius is positive if it is convex to the left, concave to the right. For example, a lens that has convex surfaces on both sides with radii 10 cm, an index of 1.5, would have a focal length of 1/f = (1.5 - 1) (1/10 - (-1/10)) = 0.1 f = 10 cm The second radius is negative because it is concave to the left and convex to the right. The shape of the surface and the index on both sides determine whether the lens converges the light, or diverges it.

--> 3. What would be the radius of curvature of the surfaces of a double convex lens with the same shape on both sides and a focal length of 1 meter? Assume an index of 1.5.

--> 4. Suppose you made a lens in which the first surface was convex to the left with a radius of 50 cm. Immediately after it the back surface is exactly the same, also convex to the left, with the same radius of curvature. Now take this lens outside and let sunlight fall on it. What happens to the light that goes through the lens? Explain it with these equations for a thin lens, and also with the wave theory of light.

You are asked to define 10 different " The right hand rule". Here you first define the application and explain how the right hand rule is applied to find the direction of physical concept.

For good battery performance and economics, each component in battery has several requirements. Write the requirements of cathode, anode and electrolyte of Li-ion battery.

Plotting rotational variables

Continuing on with using the human body as a physics apparatus, it’s time to try an experiment with your leg!  First, find a comfortable place where you can sit and swing your legs freely.  This could be an office chair which you raise to the point where your feet do not touch the ground, a table top (which can support your weight!), picnic table, or any other location where you sit and swing your legs freely from your knees.

Your task is to create a sketch of your foot’s motion as you GENTLY swing your foot from directly under you, to a fully extended position.  Try rocking your foot back and forth a few times and imagine how the foot’s angular displacement, velocity, and acceleration are changing over time.  Imagine that the angular displacement is zero when your foot is resting directly underneath you.

8.  In the space below, make a sketch of angular displacement, , as a function of time as you slowly and steadily bring your foot from beneath you, to the extended position. Appendix A has a nice review of how to sketch a plot of “something” vs. “another thing”.  You may find the drawing functionin Google docs useful in creating the plot. Or you can sketch it out on paper and attach a photograph of the sketch, your preference.

.  In the space below, make a sketch of angular velocity vs. time of your foot as you slowly and steadily bring your foot from directly underneath to straight out from the knee.

10.   In the space below, make a sketch of angular acceleration vs. time of your foot as you slowly and steadily bring your foot from directly beneath you, to straight out.

Four displacement vectors, A, B, C, and D, are shown in the diagram below. Their magnitudes are:  A = 16.2 m, B = 11.0 m, C = 12.0 m, and D =  24.0 m

What is the magnitude, in meters, and direction, in degrees, of the resultant vector sum of A, B, C, and D?

Give the direction as an angle measured counterclockwise from the +x direction.