4. Explain the processes of lasing in the Co2 laser. What is the function of Nitrogen, and Helium in the gas mixture of the co2 laser?

(a) Compute the first-order correction to all energy eigenvalues of a particle in a square well in the region 0 ≤ ? ≤ L with added potential: ?(?) = ?_o? when 0 ≤ ? ≤ L/2 and ?_o (L − ?) when L/2 ≤ ? ≤ L.

(b) Using the given potential, use the variational theorem to compute an upper bound to the ground state using the trial function below

∅(?) = ?₁ (2/L)^1/2 sin ( ??/L ) + ?₂ (2/L)^1/2 sin ( 2??/L )

A sphere with radius a = 8 cm is in a conductive sphere shell with an internal radius of b = 12 cm and an outer radius of c = 18 cm with a load of -200 mC.
a) Determine the load distribution in the sphere and sphere shell.
b) Calculate the value of the electric field in r = 0 cm, r = 4 cm, r = 8 cm, r = 10 cm, r = 14 cm, r = 18 cm and r = 50 cm, and plot the electric field with respect to r.

A 2500-kg rocket blasts off from Planet A headed directly towards Planet B. The masses of Planet A and B are 6x1024 kg and 3x1025 kg respectively and the distance between the planets is 4x108 m. How far from Planet A will the rocket have traveled when the net gravitational force on the rocket from the two planets is zero?

For Astronomy class, please answer this question clearly, thank you.

Describe the similarities and the differences between the mechanisms by which Terrestrial and Jovian planets generate their magnetic fields.

A uniformly charged disk of radius 35.0 cm carries a charge density of 6.40 ✕ 10^-3 C/m². Calculate the electric field on the axis of the disk at the following distances from the center of the disk.

(a) 5.00 cm
MN/C

(b) 10.0 cm
MN/C

(c) 50.0 cm
MN/C

(d) 200 cm
MN/C

An engine that operates by means of an ideal diatomic ideal gas in a piston with 2.70 moles of gas. The gas starts at point A with 3x103 Pa of pressure and 2.5x10-2 m3. To get from B from A, it is expanded by an isobaric process to double the initial volume. From B to C it expands adiabatically until it reaches three times the volume in A. From C to D the pressure decreases without changing the volume and from D to A it is an isothermal compression. a) Draw the PV diagram of the process and determine the pressure and volume at each vertex. Calculate: b) full cycle work. C) The heat transferred in each process. D) The real efficiency and efficiency of carnot. D) The change of entropy in each process.

Forgive me, I'm a little bit vague on the detail.

If the projectile rebounds upon impact instead of sticking to the pendulum, how would the vertical rise of the pendulum compare to the value obtained when the two move together? Give an explanation.

Describe in detail, with sketches as appropriate, the requirements for a setup of a mechanical experiment that allows to measure the weight of individual atoms. Provide details of a sensor (eg. scale, mass), the sensor actuation and the sensor read-out (eg. experimental noise, physical principle). How do you prove that the measured atomic mass stems specifically from the atoms you analyse? (Consider environmental sources of measurement noise)

This question featured in an Oscillations section of a past exam paper. Any help greatly appreciated! Thanks.

Thermodynamics and Statistical Mechanics problem:

(a) Derive the Maxwell speed distributions in one and two dimensions.

(b) What is most likely speed in each case?

(c) What is average speed in each case?

(d) What is root-mean-square speed in each case?

. Two-point charges are brought 0.01 m from each other. One has a charge of 10.0 nC, the other has a charge of -10.0 nC. What is the magnitude of the electrostatic force between them? Will they attract or repel each other? k = 9.0 x 109 N m2/C2

I keep getting a negative answer and it should be positive?

A person standing far away walks toward a plane mirror at a speed v, and the speed of the image is 2v relative to the person. Please compute the speed of the image relative to the person if the plane mirror is replaced by (a), a convex spherical mirror? (b), a concave spherical mirror?

Friction Experiment

Procedure:

1. On the pulley place 50 grams weight on the block which is 0.05kg
2. Attach the wood block using a string and hanger
3. Place the hanger on the other side of the pulley

Use additional weight and put them on the hanger in order to achieve a constant velocity

Data A:

Procedure:

1. Place 50 grams on top of the wood block and 50 grams on the hanger and observe acceleration. Use additional weight if necessary
2. Record the time for the motion
3. Calculate experimental acceleration
4. Calculate theoretical acceleration
5. Compare using percent error formula
6. Repeat one more time

Formulas A:

• M1= Mw+n*50 (n is an integer, start with n=1, go to n=4)
• N=M1 g
• Fnet= M2 g
• Mu= Fnet/N

Data B:

Formulas B:

• A(experiment)= 2d/t^2
• Average mu= 0.25 --> mu=0.25 for equation below
• A(theory)= (M2 g- mu M1 g)/(M1+M2)

Question: I'm looking for the formulas worked out for both data tables

ex: plugging in what numbers into what equation to get answers from both data tables?

A rocket ship is launched from rest from a space station. Its destinations 1.0 x 10^11 m away. The ship is programmed to accelerate at 7.4 m/s^2 for 12 hours. After 12 hours, the ship will travel at constant velocity until it comes within 1.0 x 10^10 m of its destination. Then, it will fire its retrorockets to land safely.

Event 1: t= , r= , v= ,

Event 2: t= , r= , v= ,

Event 3: t= , r= , v= ,

Event 4: t= , r= , v= ,

a(12)= , a(23)= , a(34)=

Mathematical Analysis?

A compost barrel can be considered as a solid cylinder of mass 50.0 kg and radius of r = 30.0 cm, and a length of 0.900 m. It can be turned about the long axis by applying a force to a handle located d = 20.0 cm from the axis of the cylinder. The compost barrel needs to be turned through 250 complete revolutions. Assume you can apply a constant force of F = 10.0 N (always perpendicular to the radius as the handle goes around in a circle).
What is the angular acceleration of the barrel?
How much time does it take to turn the barrel through 250 rev?
What is the angular velocity of the barrel at the end of that time? Is this reasonable?