Calculate the critical radius of the core of a spherical thermal reactor moderated by graphite both with and without (bare) an infinite reflector of graphite to show reflector savings. The reactor (at room temp.) is fueled with 235U at a concentration of 4.0 x 10-4 gm/cm3

Please make sure to give practice problems for each given scenario in the quantitative problems and to explain the qualitative problems, thoroughly.

The final exam is this Friday so please answer ASAP.

Quantitative problems

1. Circuit with capacitors and resistor (charging and discharging), and/or an inductor and
a resistor.
2. Kirchhoff problem.
3. Force and maybe torque on a wire in a magnetic field.
4. AC circuit problem with transformers, root mean square quantities, and power.
5. AC circuits problem finding complex impedance, phase, and resonance.

Qualitative problems

1. LC circuits, energy conservation, spring-mass comparison.
2. Fields, electric and magnetic. What do they mean, why are they useful, and when do
they produce force.
3. Maxwell’s equations. What are the sources of fields, and how do fields interact.
4. LRC circuits. Describe the three cases and damped oscillator analogy.
5. Discuss the underlying conservation laws for the Kirchhoff rules.

What is the length of a one-dimensional box in which an electron in the n = 1, state has the same energy as a photon with a wavelength of 600 nm? What is the energy of n = 2 and n =3 state? What energy of a photon, if absorbed by the electron could move it from the n = 1 state to the n = 2 state? Write legibly.

Suppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 65.0 % . How many liters of water would be sufficient fuel to very slowly push the Moon 2.50 mm away from the Earth? The density of water is ρ water = 1.00 kg/liter , the Earth's mass is M earth = 5.97 × 10 24 kg , the Moon's mass is M moon = 7.36 × 10 22 kg , and the separation of the Earth and Moon is d E,M = 3.84 × 10 8 m .

A 22-cm-diameter cylinder that is 43 cm long contains 44 g of oxygen gas at 20∘C

What is the reading of a pressure gauge attached to the tank?

(1) An air track that is 2 meters long is raised by 2 cm on one end. What vertical distance does an air cart move if the air cart moves from the 1 meter mark to the 2 meter mark? 1 cm

(2) If the above air cart starts from rest, what would you expect its velocity to be 0.5 meters along the air track? Use the equations of conservation of energy. Assume the air track is frictionless.

(3) Is the result of Question (2) consistent with what you would expect based on the equations of kinematics? Solve for the expected velocity based on the equations of kinematics and compare.

During a fireworks display, a shell is shot into the air with an initial speed of 91.55 m/s at an angle of theta degrees above the horizontal. The fuse is timed to 8.21 seconds for the shell just as it reaches its highest point above the ground. If the horizontal displacement of the shell is 149.68 meters when it explodes, what is the height (in unit of meters) when the shell explodes?

You must use g = 9.8 m/s².

A 0.40-kg cart with charge 5.0

When can and can't we use the equation the equation ΔX=v^2sin(2θ)/g to find the horizontal displacement in projectile motion problems?

1. A linear accelerator produces a pulsed beam of electrons. The current is 1.6 A for the 0.1 μs duration for each pulse.

1. How many electrons are accelerated in each pulse?
2. What is the average current of the beam if there are 1000 pulses per second?
3. If each electron acquires an energy of 400 MeV, what is the average power output of the accelerator? Assume there are 1000 pulses per second for the accelerator.
4. What is the peak output power? Hint: this occurs when 10¹² electrons are accelerated in 0.1 μs.

Explain, from a fundamental physical standpoint, why lasers use three-state or four-state systems, versus two states. Be specific

The trajectory of a rock ejected from the Kilauea volcano, with a velocity of magnitude 46.9 m/s and at angle 35.1 degrees above the horizontal. The rock strikes the side of the volcano at an altitude of 39.1m lower than its starting point. Calculate the magnitude of the rock’s velocity at impact? Use g = 9.8 m/s².

A girl of mass, m = 40 kg has osteoporosis which weakens her bones. From a kneeling position, she topples forward onto her elbows with her upper arms extended vertically downwards on impact with the ground. In falling forward, her centre of mass lowers by a height, h = 50 cm and she absorbs all of her kinetic energy from her fall into her two humerus bones (one bone in each upper arm).

Determine an equation for the stress in each humerus bone, ?, in terms of m, h, the acceleration due to gravity, g, Young’s modulus for bone, Y, the cross sectional area of each humerus bone, A and the length of each humerus bone, l. State any laws used. Now, determine the minimum rupture strength required for the girl’s humerus bones such that she doesn’t break them, given in units of N/m2 . Take l = 20 cm, A = 3.0 cm2 and Y = 1.4 x10^10 N/m2 .