Halley's comet orbits the Sun with a period of 75.3 yr. a) Find the semimajor axis of the orbit of Halley's comet in astronomical units (1 AU is equal to the semimajor axis of the Earth's orbit). b) If Halley's comet is 0.586 AU from the Sun at perihelion, what is its maximum distance from the Sun, and what is the eccentricity of its orbit?

SHOW ALL WORK PLEASE!

Collimated atomic beam, saturated absorption and two-photon spectroscopy are three methods of Doppler-free laser spectroscopy.

1. (i) In each case summarize briefly the principle of how the Doppler width is reduced or eliminated ,

2. (ii) Which method (methods) collects (collect) signal from all atoms illuminated by laser beams?

3. (iii) In collimated beam spectroscopy the probe laser beam with the wavelength of 0.5 μm intersects the atomic beam (velocity of 300 m/s) at the angle of 70o (the angle between the wave vector and the velocity direction). What is the value of the Doppler shift in MHz?

#2 For each of the following cases, write down the four components of the 4-momentum in the form [Pt, Px, Py, Pz]. Assume each particle has mass m. (a) A particle moves in the +x direction in the laboratory at speed 0.8. (b) The same particle is observed in the Other Frame, in which it is at rest. (c) Another particle moves in the +z direction in the laboratory with speed 0.7. (d) The particle from part (c) as observed in the Other Frame from part (b). (e) Verify that your particle in part (d) still has mass of m

Its not incomplete this is the question as asked , with no other information given.

Aluminum oxide (Al2O3) has an elastic modulus of 400 GPa and a KIc of 4 MPa•m1/2 . A specimen is tested in tension and is found to deform elastically up to the point of fracture at a stress of 450 MPa. (a) Make a diagram of engineering stress-engineering strain to show this behavior. (b) Find the strain at fracture. (b) Estimate the flaw size (a) that caused failure (assume Y = 1). (c) If another specimen of the same size is prepared and tested, do you expect failure to be at a stress of 450 MPa again? Why or why not?

A ball is thrown toward a cliff of height h with a speed of 30 m/s and an angle of 60° above horizontal. It lands on the edge of the cliff 4.0 s later.

1. How high is the cliff?

2. What was the maximum height of the ball?

3. What is the ball’s impact speed?

You want to push a 9.5 kg box up a 3.6^o ramp. The coefficient of kinetic friction between the ramp and the box is 0.5.

With what magnitude force parallel to the ramp should you push on the box so that it moves up the ramp at a constant speed?

Show that 'general Lorentz transformations' form a group.

2) Imagine an infinitely long hollow metal pipe with a rectangular cross section. The four sides are placed at x = −a and x = a, and at y = −b and y = b. The two sides on the x-axis (and parallel to the y-z plane) are held at V = 0, the two sides on the y-axis (and parallel to the x-z plane) are held at a constant positive potential V = V0. Imagine that each infinite plate is separated from each adjacent plate by a thin insulation. Find the potential inside the wire.(Please be as detailed as possible with the derivations and steps associated with solving the problem, (please and thank you!!).

The atomic weights of Al28, Fe56 and Cd112 (those are Aluminum, Iron and Cadmium) are 27.982, 55.935 and 111.903 atomic mass units (amu), respectively. Imagine fusing two of these Al nuclei to form one Fe nucleus. Then, imagine fusing two of these Fe nuclei to make one Cd nucleus.

a) What are the mass differences between the input nuclei and the output nucleus in the two cases described? Provide your answer in amu and g. Be consistent about signs!

b) Which of these two reactions is exothermic (produces energy) and which endothermic (consumes energy)?

c) Given what you observe from these comparisons, explain under what conditions Fe and Cd might be able to form in stars

List everything that Classical Physics can't explain, that Quantum Physics can explain, and how they can explain it

Calculate the coupled eigenstates that result from the coupling of orbital angular momentum ?=2 with spin angular momentum ?=1/2.

HINT: You may freely use results from Ch. 7 in N. Zettili’s book, including results from the solved problems. Simply quote exactly which result you are using each time.

An insulated cylinder fitted with a movable piston to maintain constant pressure initially contains 100 g of ice at -10 C. Heat is supplied to the contents at a constant rate by a 100 W heater. Make a graph showing temperature of the cylinder contents as a function of time starting at t = 0, when the temperature is -10 C and ending when the temperature is 110 C. Let c = 2.0 kJ/kg K for specific heat of ice from -10 to 0 C and of the steam from 100 to 110 C. The specific heat of water between 0 C and 100 C is c = 4.18 X 103 J/kg K. The value of Lv = 2257 X 103 J/ kg and Lf = 333.5 X 103 J/kg

What radiation, alpha, beta, or gamma, has the largest attenuation in matter? What radiation has the smallest attenuation in matter?

I think the wording of this question is weird. I thought attenuation was similar to absorption because the rays lose power when entering matter. Could some one help me out?

a)A car initially traveling at 31.7 m/s undergoes a constant negative acceleration of magnitude 1.60 m/s² after its brakes are applied.

-How many revolutions does each tire make before the car comes to a stop, assuming the car does not skid and the tires have radii of 0.310 m? ______ rev

-What is the angular speed of the wheels when the car has traveled half the total distance? _______ rad/s

b) A 50.0-kg child stands at the rim of a merry-go-round of radius 2.45 m, rotating with an angular speed of 3.80 rad/s.

-what is the child's centripetal acceleration? _______ m/s^2

-what is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? _____ N

-what minimum coefficient of static friction is required?