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.

1. After an electron undergoes a n to π² or π to π² transition, what are three ways we discussed it will “relax” or “lose this excess energy”?

2. And what determines if a transition such as those described in question 1 will take place? (another way to ask this might be, why don’t other bond types also undergo a transition – or, do they?).

1. Calculate the probability of locating an electron in a one-dimensional box of length 2.00 nm and n_x=4 between 0 and 0.286 nm. The probability is also plotted. You should compare (qualitatively) your numerical answer to the area under the curve on the graph that corresponds to the probability.

Calculate the moments of inertia (about any axis through the center) for a spherical shell and a solid sphere. What is the ratio between the two moments of inertia. Both spherical shell and solid sphere have mass M, radius R, and uniform mass densities (σ and ρ respectively).

A 0.5-kg mass is attached to a spring with spring constant 2.5 N/m. The spring experiences friction, which acts as a force opposite and proportional to the velocity, with magnitude 2 N for every m/s of velocity. The spring is stretched 1 meter and then released.

(a) Find a formula for the position of the mass as a function of time.

(b) How much time does it take the mass to complete one oscillation (to pass the equilibrium point, bounce back, and return traveling in the same direction)? 1

(c) By what fraction has the amplitude of the motion decreased in this time?

(d) Do the answers to (b) and (c) depend on the initial position of the mass? Why or why not?

(e) By immersing the spring in one of a variety of rare, delicious syrups, it’s possible to increase the damping constant while keeping the spring constant the same. Can you increase the damping constant so that the spring doesn’t oscillate at all, but just returns to its starting point? What’s the smallest value of the damping constant that will do this?