a. Prediction

b. Result or consequence

c. Recommendation/ Call for action

(a) The Hubble Space Telescope is in a nearly circular orbit, approximately 610 km (380 mi) above the surface of the Earth. Estimate its orbital period from the generalized version of Kepler’s third law.

(b) Communications and weather satellites are often placed in geosynchronous orbits. A geosynchronous orbit is an orbit about the Earth with orbital period P exactly equal to one sidereal day. A special kind of geosynchronous orbit is when the satellite has an inclination of 0˝ from the Earth’s ecliptic plane and is at the equator. This is a geostationary orbit, also called a ‘parking orbit’ because it always appears ‘parked’ at a fixed location in the sky, above a fixed location on the earth. At what altitude must these satellites be located? What is the orbital velocity vgs of a satellite on a circular geostationary orbit?

(c) Is it possible for a satellite in a geosynchronous orbit to remain ‘parked’ over any location on the surface of the Earth? Why or why not?

A particle of rest energy 800 MeV decays in its rest frame into two identical particles of rest energy 250 MeV. What are the kinetic energies (in MeV), momenta (in MeV/c), and velocities (in units of c) of the daughter particles?

Refer to the previous problem. The parent particle moves in the lab with kinetic energy 800 MeV, and one daughter particle is emitted along the parent’s direction of motion. Find the lab kinetic energy (in MeV) for the daughter emitted backwards in the parent’s rest frame.

(I'm looking for help on the second problem.)

The frequency range (the difference between the maximum and minimum frequencies) of the lyman series is.

A firefighting crew uses a water cannon that shoots water at 29.0 m/s at a fixed angle of 47.0 ∘ above the horizontal. The firefighters want to direct the water at a blaze that is 12.0 m above ground level.

How far from the building should they position their cannon? There are two possibilities (d1<d2d1<d2); can you get them both? (Hint: Start with a sketch showing the trajectory of the water.)

The Sun radiates energy at a rate of about 4 × 1026 W.

1) At what distance from the Sun is its intensity the same as that of a 100 W light bulb 1 m away from you?

2) How does that compare to the distance between the Sun and the Earth?

3) Between which 2 planets’ orbits does this distance lie?

1.Please determine how likely any mode (of mode frequency, u where hu=kT) is to be thermally occupied according to Planck’s Law. Note, your answer will help you compare the probability of stimulated emission by thermal radiation to spontaneous emission.

True/False:

1. A machine’s efficiency can be over 100%.
2. The rotational inertia of a body increases when the distance of its mass from the rotation axis increases.
3. The Leaning Tower of Pisa is in stable equilibrium.
4. When a tin can is whirled in a horizontal circle, the net force on it acts inward.
5. You are in a car going over a cliff. You are weightless.

From t = 0 to t = 3.90 min, a man stands still, and from t = 3.90 min to t = 7.80 min, he walks briskly in a straight line at a constant speed of 2.96 m/s. What are (a) his average velocity v_avg and (b) his average acceleration a_avg in the time interval 1.00 min to 4.90 min? What are (c) v_avg and (d) a_avg in the time interval 2.00 min to 5.90 min?

Question 1: Explain the statements below :
A) Design a hypothetical change that provides the first law of thermodymability but is contrary to the second law.
b) Design a hypothetical change that provides the second law of thermodymability but is contrary to the first law.
c) Design a hypothetical state change that contrast the first and second laws of thermodymysis.

Your percentage of body fat by weight is an important indicator of your general physical condition. For people in good health it should be between 10 and 15%. One way of determining this percentage is to measure your average body density. This can be done by weighing yourself underwater when you have completely exhaled. You can do this in your friendly neighbourhood pool by placing a kitchen scale on the bottom (one that is not damaged by being under water) and submerging yourself onto it when you have deeply exhaled. (You might want to use a snorkel if you are uncomfortable doing this trick.) You can then calculate your body density from the formula,  

D = W/(W-Ww)

where W is your normal weight and W_w is your weight underwater. (This formula assumes the density of water is one. If you are mathematically inclined and know a little about the physics of buoyancy from a high-school physics course you can easily derive this formula.) If as a result of such an experiment a 75 kg person is found to weigh 4.2 kg underwater, what is that person's body density?

Professionals who determine body fat by this method have developed the following mathematical relationship between percentage of body fat f and average body density D:

f = 100 x (4.20/D - 3.81)

What is the percentage of body fat in the person of the previous part?

An electron is accelerated horizontally from rest by a potential difference of 2100 V . It then passes between two horizontal plates 6.5 cm long and 1.3 cm apart that have a potential difference of 200 V

At what angle θ will the electron be traveling after it passes between the plates?

Express your answer to two significant figures and include the appropriate units.

Suppose you have a system with four levels, E_j (j=0, 1, 2, 3), with energies of (in units of k_B·K) 0, 100, 200, 400. Explicitly, if, for example E_j = 100, when T=300, E_j/kT = 1/3.

1. Determine the average energy of the system by weighted averaging
2. Determine the average energy by taking the appropriate derivative of ln q.

A hollow sphere of mass M and radius R is hit by a pendulum of mass m and length L that is raised at an angle θ. After the collision the pendulum comes to a stop and the sphere rolls forward into a spring with stiffness k on an incline of ϕ. Find an expression for how far ∆x the spring compresses along the incline. Use only m, L, M, R, θ, ϕ, k and appropriate constants.