We have a cylinder and piston similar to the one in the figure. The diameter of the piston is 3.50 cm. The distance from the bottom of the cylinder to the piston is 12.6 cm. The cylinder is filled with an ideal diatomic gas at room temperature (23.8∘C23.8∘C) and room pressure (1.00 atm).

(a)

If we push down on the piston with a force equal to 119 lb, how far can we move the piston? Consider the compression to be adiabatic, and neglect the flow of heat to the surroundings. Also neglect the weight of the piston. Caution: remember that atmospheric pressure also pushes down on the piston. The total downward force is 119 lb plus the force of atmospheric pressure. Be sure to give the distance the piston moves, not just the final height of the piston.

(b)

Repeat for an ideal monatomic gas.

Software Learning Curve

Corporate executives for a national company are considering implementing new software that will make their business run more efficiently, thereby saving the company a substantial amount of money in the long run. Two competing systems are being reviewed. Software A is the latest version of the software the company currently uses and many of the functions operate similarly to the current version. The software company claims the latest version will increase productivity by 20%. Software B is a completely different system, so it will take longer to learn, but its manufacturers claim it performs at 150% of its leading competitor (the software currently in use by this company).

Before committing to either product, the executives tested the competing software for four weeks in two of their offices. The first office installed software A, which proved easy for the employees to learn as expected. After one week, productivity was already 107.59% compared to previous levels; after two weeks it had jumped to 117.80%. A learning curve model A\left(t\right)=M-Ce^{-kt}A(t)=M−Ce−ktcan be used to represent the productivity at this office t weeks after the new software is installed, where M is the maximum level of productivity with the software. Use the given data to construct the specific learning curve for software A. Based on this model, how productive were the employees of this office when using this new software without any training (i.e., when the new software was first installed)?

The second office installed software B, which required lengthy training for most of the employees. Prior to training the employees could not use this software at all, so the initial productivity was zero in this trial. After four weeks of training and practice using the new software, many of the employees were still struggling and productivity was only 57.18%, of the previous output for this office. Use the given data, including the manufacturer’s performance claim, to construct a learning curve function B\left(t\right)B(t) for software B. How many weeks will it take for this office to reach its previous level of productivity?

Construct a table of values for both A\left(t\right)A(t) and B\left(t\right)B(t) for the first 12 weeks. Solve algebraically to obtain a precise estimate of the number of weeks after installing new software until productivity at the two offices would be equal.

Question#4

The horizontal asymptote of the graph of A(t) is given by the equation y =

The simple harmonic oscillator (SHO) is probably the single most important approximation for describing small displacements about stable equilibrium positions. Why is it that the SHO approximation actually works? What are the limitations of the SHO?

excited state vs the number in the ground state for the temperatures shown below. Remember that g values are simply the number of states present in each orbital. g values for the 3p and 3s orbitals are shown below. The average wavelength of light required to excite an atom from 3s to 3p for Na⁺ and Mg⁺ is 5.89 x 10² nm and 2.80 x 10² nm respectively.

Ion	3p	3s
Na+	6	2
Mg+	6	2

1. What is the energy difference between the 3s and 3p states of each atom?

2. Calculate the proportion of excited state to ground state atoms for Na⁺ and Mg⁺ in microwave-induced argon plasma (2.50 x 10^3oC)

3. In an electric spark (4.00 x 10^{4 o}C)

4. At 20.0 ^oC.

Problem 10.23 An alpha particle (a helium nucleus, containing 2 protons and 2 neutrons) starts out with kinetic energy of 10.0 MeV (10.0 × 106 eV), and heads in the +x direction straight toward a gold nucleus (containing 79 protons and 118 neutrons). The particles are initially far apart, and the gold nucleus is initially at rest. Answer the following questions about the collision. What is the initial momentum of the alpha particle? (You may assume its speed is small compared to the speed of light).  p→α, i= < , ,  > kg·m/s What is the initial momentum of the gold nucleus?  p→Au, i= < , ,  > kg·m/s What is the final momentum of the alpha particle, long after it interacts with the gold nucleus?  p→α, f= < , ,  > kg·m/s What is the final momentum of the gold nucleus, long after it interacts with the alpha particle?  p→Au, f= < , ,  > kg·m/s What is the final kinetic energy of the alpha particle?  Kα, f= J What is the final kinetic energy of the gold nucleus?  KAu, f= J Assuming that the movement of the gold nucleus is negligible, calculate how close the alpha particle will get to the gold nucleus in this head-on collision. rclosest= m What principle did you use to calculate the distance of closest approach? The Energy Principle No principles needed, just the definition of velocity The Momentum Principle Both the Energy Principle and the Momentum Principle There is not a principle that applies to this situation The radius of the alpha particle is about 2 × 10-15 m, and the radius of the gold nucleus is about 8 × 10-15 m. At the point of closest approach, do the two particles touch each other? NoNot enough information to tellYes To choose initial conditions for the program you will write to model collisions between an alpha particle and a gold nucleus, you will need to choose an initial location, and Δ⁢t. Estimating Δ⁢t: What is the initial speed of the alpha particle?  vα, i= m/s We suggest that in your program you start the alpha particle at a distance of 1 × 10-13 m from the gold nucleus. If the alpha particle did not slow down, how long would it take to travel all the way to the location of the nucleus? time = s For an accurate calculation you need to take many steps during the time the alpha particle is near the gold nucleus. Considering your estimate above, we suggest that you use Δ⁢t= 1 × 10-23 s in your program.

A 1200-kg car is travelling east at a rate of 9 m/s. A 1600-kg truck is travelling south at a rate of 13 m/s. The truck accidentally runs a stop sign and collides with the car in a completely inelastic collision. What is the speed of the combined mass after the collision?

Answer each of the following questions in one paragraph. If you want/need, you can supplement your written explanation with diagrams or equations.

1. Provide an example of an inertial frame of reference and a non-inertial frame of reference. Explain the difference.

2. Using the Michelson-Morley experiment as an example, explain why classical mechanics was unable to explain natural phenomena.

3. Using at least one of Einstein's "thought-experiments", explain how special relativity addresses how it is possible for observers in two different inertial reference frames to “disagree” about time and distance intervals.

4. Describe how special relativity explains the conditions under which classical mechanics breaks down.(When would you, as an observer begin to notice the effects of time dilation and length contraction?)

5. In the early 20th century, the law of conservation of mass was replaced by the law of conservation of mass-energy. Why was this change needed, and how does E=mc² relate to the special theory of relativity?

write what you know about Vienna 5G Simulators , How it is different from other simulators

thanks for your time and efforts

DIFFERENTIAL EQUATIONS:

1. A body with a weight of 3.5 grams force hangs from a spring stretching it 3.21 centimeters.
Initially the body starts from rest 3.4 centimeters below its equilibrium position.
The medium in which the body moves offers a resistance force to movement that is numerically equal to 1/8 of its instantaneous speed.
Knowing that there is an external force, changing in time, which is defined by the formula: f (t) = 7cos (t) grams force.
Find the position in centimeters of the body after 5 seconds. Take positive above the equilibrium position. Consider positive downward and negative upward magnitudes

) Describe the three different growth modes and the properties of the three modes that distinguish them conceptually and use Young’s equation to distinguish experimentally.

Heart’s dipole charge. This question refers to the heart and ECG. There is a PDF from textbook on this situation.

A) For dipole described in the problem below, draw the Electric field lines of the dipole. Don’t worry about the dielectric.

B) What’s the ECG measure?

C) Why is it important for the ECG pads to have good electrical conduction. That is, why do they put that ointment on your skin when they place the pads? I solved this problem in class.

D) The heart has a dipole charge distribution with a charge of +1.0 * 10-7 C that is 6.0 cm above a charge of -1.0 * 10-7 C. Determine the E field (magnitude and direction) caused by the heart’s dipole at a distance of 8.0 cm directly above the heart’s positive charge. All charges are located in body tissue of dielectric constant 7.0. What is the force exerted on a sodium ion (charge = +e = +1.6 * 10-19 C) at that point?

the Brewster angle for a certain media boundary is 33°. what is th me critical angle for total internal reflection for the same boundary?

Question:

For the previous planet and star (with a luminosity = 0.041 solar luminosity), assuming a
circular orbit, what would be the distance from the star such that the planet’s surface
temperature is 280 K (no atmosphere or greenhouse effect to worry about)? What are the
orbital period and circular velocity of the planet? What is the circular velocity of the star (in
m/s) that would be measured with the Doppler shif

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Estimate the depth of the “transit” (in percent) for a 4 Jupiter---mass planet orbiting an
M---type main sequence star with a mass = 0.45 solar mass, and a radius = 0.52 solar radius.
State your source or justification for the radius of the planet

An infinite potential well in one dimension for 0 ≤ x ≤ a contains a particle with the wave function ψ = Cx(a − x), where C is the normalization constant. What is the probability wn for the particle to be in the nth eigenstate of the innite potential well? Find approximate numerical values for w1, w2 and w3.