1a Describe how thermal energy is obtained by fission, specifically when a U=235 atom is hit by a slow-motion neutron (less than 0.9 MeV). When one states that 200 MeV of energy are released by a fission event, what is the form of this energy?

1b. The energy released by fission is by the change in mass and Einstein’s equation (E=Δmc²). If the mass of one uranium 235 atom is 235.042924 amu and the mass of fission products is 234.92754 amu, determine the energy in Joules and MeV released by one fission. (Note: 1 amu = 1.66 x 10^-27kg and 1 ev = 1.6 \x 10^-19J).

1c. For an atom, the atomic number is the number of protons, while the atomic weight (i.e. molecular weight) can be 235 or 238 depending on the isotope. Determine the number of atomic particles (electrons, neutrons, and protons) for U-235, U-238, Kr-90. Note: The atomic number of Krypton is 36.

• If we recreated the scene from Fast & Furious 7 and dropped a Challenger SRT® Hellcat Redeye Widebody from a C-130 aircraft at 5,280 ft, how much horsepower would it take to drive past it before it hits the ground if you’re 1 mile away?
• Rephrase the question: How much horsepower is needed to travel the distance of one mile, before the dropped vehicle hits the ground, from a mile up in the air, out of the back of a C-130 aircraft. The falling vehicle is falling STRAIGHT down, no forward travel The vehicle on the ground that has to pass the point of impact BEFORE impact, has to start from a dead stop.
• Use the following data to compute the required hp to caver the distance of 1 mile, from a dead stop, and pass the point of impact. Will have to calculate the time of fall, to find the time needed to start from a standing start to cover a mile just past the point of impact.

Data available:

• Air density @ sea level, 59 degrees, no wind = p = .002377 slugs/ft^3
• Coefficient of drag (flat plate, NASA) = C(d) = 1.28
• Weight = W = 4451 lbs
• Gravitation constant = g = 32.2 ft/sec^2
• Area = A = 197.5" long x 78.2" wide x (1 ft^2/ 144 in^2)
• Vehicle falls flat, wheels 1st, straight down, at constant acceleration with no aerodynamic drag until terminal velocity
• Horsepower needed to accelerate is AVERAGE - not peak
• 100% driveline efficiency

A man walks 1.55 km south and then 2.25 km east, all in 2.80 hours.

(a)

What is the magnitude (in km) and direction (in degrees south of east) of his displacement during the given time?

magnitude km direction ° south of east

(b)

What is the magnitude (in km/h) and direction (in degrees south of east) of his average velocity during the given time?

magnitude km/h direction ° south of east

(c)

What was his average speed (in km/h) during the same time interval?

km/h

A sledge loaded with bricks has a total mass of 18.2 kg and is pulled at constant speed by a rope. The rope is inclined at 20.1° above the horizontal, and the sledge moves a distance of 19.2 m on a horizontal surface. The coefficient of kinetic friction between the sledge and surface is 0.500.

(a) What is the tension of the rope?
N
(b) How much work is done by the rope on the sledge?
kJ
(c) What is the mechanical energy lost due to friction?
kJ

Consider an experiment in which we bombard an unknown, quantum system with a broad beam of monochromatic light. By varying the frequency of the light, we detect which frequencies are absorbed by the system and which pass through. What characteristics do those frequencies exhibit if our system is a simple harmonic oscillator?

Students are sitting in a classroom and listening to a lecture. If the lecture has a sound level of 65 dB to the student sitting in the front row, what is the sound level according to another student sitting 3 times further away?

Show all the steps.

1. Two long solenoids are placed in the coaxial position, one inside the other, they have 30 cm and 20 cm diameters, respectively. The outer solenoid is 2 m long with 5000 turns, and carrying a current of 4 A. The inner one is 1 m long with 2000 turns, and carrying a current of 2 A in the opposite sense. Find the magnitude of the magnetic field (in mT) at any point on the solenoid axis inside.

A. 10.52
B. 3.68
C. 15.08
D. 7.54

2.

A straight conductor is split into identical semicircular turns, as shown in the figure. What is the magnetic field at the center of the circular loop?

  
A. μoi/2R
B. μoiR/4
C. 0
D. μoi/4R

3.

Which of the followings are correct for Ampere’s Law? (Choose three correct answers)

A. The magnetic field decreases non-linearly outside of a current carrying wire  
B. The net magnetic field is zero at the both end of the current carrying wire  
C. The magnetic field has its maximum value on the surface of a current carrying wire  
D. The magnetic field increases linearly within a current carrying wire from its center to its surface

Dodge is known for appearing in the most badass action movie stunts. Well, now we’re challenging you to think about what it takes to pull it off...

If we recreated the scene from Fast & Furious 7 and dropped a Challenger SRT® Hellcat Redeye Widebody from a C-130 aircraft at 5,280 ft, how much horsepower would it take to drive past it before it hits the ground if you’re 1 mile away?

Pro Tips

• Air density @ sea level, 59 degrees, no wind = p = .002377 slugs/ft^3
• Coefficient of drag (flat plate, NASA) = C(d) = 1.28
• Weight = W = 4451 lbs
• Gravitation constant = g = 32.2 ft/sec^2
• Area = A = 197.5"" long x 78.2"" wide x (1 ft^2/ 14 in^2)
• Vehicle falls flat, wheels 1st, straight down, at constant acceleration with no aerodynamic drag until terminal velocity
• Horsepower needed to accelerate is AVERAGE - not peak
• 100% driveline efficiency

a muonic atom has an electron replaced by a particle called a muon, which is about 200 times more massive, but otherwise almost the same as an electron before you start the rest of this, you'll want to check what quantities for a bohr hydrogen atom depend on the electron mass. consider a muonic hydrogen atom in its ground state. ignore subtle effects like the reduced mass or any relaticistic considerations (even though the former should be relevant here). Remember that in a bound electrostatic system the kinetic energy is equal to the opposite of the total energy. Calculate:

a) The orbital frequency and the wavelength corresponding to classical electron-magnetic waves of this frequency

b) The frequency and wavelength of a photon with just enough energy to ionize the system

c) The de broglie wavelength and the de broglie frequency for the muon

d) Another relevant length scale is the so-called "compton wavelength" of the muon, which is the wavelength corresponding to the rest-energy of the particle assuming the speed of light. calculate the compton wavelength of the muon e) yet one more relevant length scale is the radius of this atom, a0(u). Taking this length as an uncertainty on where the muon might be found, what is the minimum uncertainty on momentum?

Congratulations! You have just inherited 250 acres of land in south Texas. An oil company approached you and offered you a one 1/2 percent (0.005) royalty for the rights to your oil. Given the following information, answer the questions below. Size = 250 acres Porosity of oil zone rock = 20 % Recoverable Oil = 30 % You do not need to consider the cost of the wells. Thickness of oil zone = 20 feet Oil saturation in pores = 40 % Life of the wells = 30 years Helpful conversions 1 acre = 43,560 square feet 1 cubic foot = 0.178 barrels

1. How many barrels of oil are in the ground?

2. How many barrels of oil are recoverable?

3. What is the value of recoverable oil at $95 per barrel?

4. What is the value of recoverable oil at $30 per barrel?

5. How much total money do you expect if oil stays at $95 per barrel?

6. How much total money do you expect if oil stays at $30 per barrel?

7. What will be your average monthly royalty check at $95 per barrel?

8. What will be your average monthly royalty check at $30 per barrel?

1. In a system design the electrons are accelerated from rest through a potential difference of 250 V. The electrons travel along a curved path because of the magnetic force exerted on them, and the radius of the path is measured to be 5 cm long. If the magnetic field is perpendicular to the beam what is the linear speed of the electrons, what is the angular speed of the electrons and what is the magnitude of the magnetic field in this system, respectively?

A. 9.4 x 106 m/s, 188 x 106 rad/s, 107.5 x 10-6 T
B. 2.4 x 103 m/s, 2.61 x 105 rad/s, 13.6 x 10-4 T
C. 6.8 x 107 m/s, 1.82 x 107 rad/s, 22.7 x 10-3 T
D. 1.2 x 107 m/s, 214 x 107 rad/s, 9.4 x 10-4 T

2. What is the direction of magnetic force created by a moving particle?
A. Same direction with the velocity of the particle
B. Same direction with the magnetic field
C. Direction of the vectoral product of charge of the particle and the magnetic field
D. Direction of the vectoral product of velocity of the particle and the magnetic field

3.

What is the magnetic force created by a current carrying wire? (Please choose two corrert answers)

A. Different than zero on a closed loop  
B. Zero on a closed loop  
C. Depends on the angle between the length vector and magnetic field lines  
D. Depends on the angle between the length vector and velocity vector

4.

What did Oersted discovered?

A. Magnetic force created by a closed loop
B. Magnetic force of a charged particle
C. Compass needle is deflected by a current carrying wire
D. Magnetism of a charged particle

Interstellar gas in many galaxies is in virial equilibrium with the stars, in that the rms speed of the gas particles is the same as the rms stellar speed. Consider a large elliptical galaxy with a virial radius of 150 kpc and a mass of 5 × 10¹² solar masses. Calculate the rms stellar velocity using the virial theorem. Hence estimate the temperature of the interstellar gas, assuming that it is composed entirely of hydrogen.