A basketball player makes a jump shot. The 0.530-kg ball is released at a height of 1.90 m above the floor with a speed of 7.12 m/s. The ball goes through the net 3.02 m above the floor at a speed of 4.24 m/s. What is the work done on the ball by air resistance, a nonconservative force?

Compare the production of bremsstrahlung and characteristic radiation.  Describe the specific contribution that each type makes to the x-ray emission spectra (the intensity vs. photon energy graph).  Finally, identify all major factors affecting the curve’s shape and position.

A 0.005-kg bullet is fired with a speed of 400 m/s into a pendulum with mass 1 kg suspended from a massless cord 2 m long.

a. If the bullet is embedded after the collision, calculate the vertical height of the pendulum rise.

b. If the bullet is made of rubber and it bounces back at a speed of 400 m/s, calculate the vertical height of the pendulum rise.

A hollow sphere of radius 0.170 m, with rotational inertia I = 0.0150 kg

A child pushes a merry-go-round that has a diameter of 4.00 m and goes from rest to an angular speed of 18.0 rpm in a time of 47.0 s.

1) Calculate the average angular acceleration of the merry-go-round. (Express your answer to three significant figures.)

2) Calculate the angular displacement of the merry-go-round. (Express your answer to three significant figures.)

In quantum field theory with a mass gap, why do states in the asymptotic future/past turn out to have a Fock space structure? For a free quantum field theory, that's trivial, but why is that the case for interacting theories? In fact, the more one thinks about it, the less clear it becomes. If the quanta of the "fundamental" field is unstable, it doesn't show up in the asymptotic Fock space. If the quanta is confined, it also doesn't show up. If there is a stable bound state, it does show up. If there is a stable solitonic particle, it also shows up.

I am very aware of the LSZ formalism, but that presupposes the existence of an asymptotic Fock space structure as a starting point. Besides, it doesn't handle stable solitons.

Make a prediction of the vertical position versus time (y vs. t) for a ball in free fall from bouncing vertically on a table. You want to predict the entire motion from right after the first contact with the table (on its way up), to the top of the motion, and back down to the table at the instant before the ball hits the table for the second time (on its way down, but hasn’t hit yet). Graph only predictions for that one bounce, not multiple bounces.

(a) Sketch a graph of vertical position versus time (y vs. t) for a ball in free-fall.

(b) Explain your prediction – how is the physical motion of the ball reflected in the graph you drew? Is the equation for this motion linear or quadratic?

6. Consider the probability distributions of hydrogen angular states. (a) (5 pts) For what values of θ is the angular probability density maximum and minimum for l = 1, m = 0? (b) (5 pts) For what values of θ is the angular probability density maximum and minimum for l = 3, m = ±1? This may be difficult to do analytically, so make a plot with your computer, or simply sketch the function

5. The wireless networking standard known as Wi-Fi encompasses several frequency bands in the microwave part of the electromagnetic spectrum. The two most common are the 2.4GHz and 5GHz bands.

a) Wi-Fi channels in the 2.4GHz band range from 2.401GHz to 2.473GHz in the US. What range of wavelengths correspond to these frequencies?

b) Wi-Fi channels in the 5GHz band range from 5.170GHz to 5.835GHz in the US. What range of wavelengths correspond to these frequencies?

A charge of q = 4.00 ✕ 10−9 C is spread evenly on a thin metal disk of radius 0.160 m. HINT (a) Calculate the charge density (in C/m2) on the disk. C/m2 (b) Find the magnitude of the electric field (in N/C) just above the center of the disk, neglecting edge effects and assuming a uniform distribution of charge. N/C

How does an ammeter, a voltmeter, and an ohmmeter work. Shunt resistance, etc.

The Earth’s magnetic field undergoes periodic reversals. How was this discovered, and by whom? What is the current best theory of its cause?

Bob is in a gravitational potential well, he moves a long vertical stick up and down a distance of 1 meters. Alice observes the upper end of the stick, at upper location.

There is the phenomenon of redshift of energy, so either Alice measures a shorter motion than 1 meters, or alternatively Alice measures a weakened force.

So I'm asking: is Bob weak, or is Bob short?

Three astronauts, propelled by jet backpacks, push and guide a 123 kg asteroid toward a processing dock, exerting the forces shown in the figure, with F₁ = 35 N, F₂ = 55 N, F₃ = 40 N, θ₁ = 30°, and θ₃ = 60°. What is the (a) magnitude and (b) angle (measured relative to the positive direction of the x axis in the range of (-180°, 180°]) of the asteroid's acceleration?

A photon of wavelength 0.65037 nm strikes a free electron that is initially at rest. The photon is scattered straight backward. What is the speed of the recoil electron after the collision?