A proton collides elastically with another proton that is initially at rest. The incoming proton has an initial speed of 4.00e5 m/s. The incoming proton has an initial speed of 4.00e5 m/s and makes a glancing collision with the second proton (at close separations, the protons exert a repulsive electrostatic force on each other). After the collision, one proton moves off at an angle of 30.0 degrees to the original direction of motion and the second deflects at an angle of __ to the same axis. Find the final speeds of the two protons and the angle ___.

v1f = ___
a. 3.46e5

b. 4.46e5

c. 5.46e5

d. 2.46e5

v2f =

a. 5.00e5

b. 4.00e5

c. 3.00e5

d. 2.00e5

angle ____ =

a. 30.0

b. 60.0

c. 90.0

d. 45.0

To get an overview of how a microscope works, complete the description with one of the options provided.

A simple light microscope consists of two lenses: an objective and an eyepiece. The object to be viewed is placed (At any location / at s>f / at s) so that the result is a (Real / Virtual) and (Upright / Inverted) image between the objective and eyepiece.

The image from the objective acts as the (Image / Object) of the eyepiece. It is located at (Any location / sf) so that the resulting image is (Real / virtual) and (Larger / smaller) than the image from the objective

The total magnification is the (Sum / product) of the individual magnifications

A 0.40 kg pendulum bob starts with an initial velocity of 2.0 m/s is released from a height of
0.275 m. It collides at the bottom of its swing with a 1.3 kg ball which is at initially at rest.
(a) Find the speed of the pendulum bob just before it strikes more massive ball at rest.
(b) Assume the collision is elastic. Determine the magnitude and direction of the velocities following
the collision.
(c) Using conservation of energy, determine the maximum height to which ball travels following the
collision.

Snell’s law applies to all waves, not just light. The general form is sin(?1) /?1 = sin(?2) ⁄?2 where ??1 is the speed of the wave in medium 1, and ?2 is the speed of the wave in medium 2.

A. Starting with Snell’s law in its familiar form ??1 sin(?1) = ?2 sin(?2) and the definition of the index of refraction ?≡ ? ⁄ ? for light, derive the general form above.

One of the applications of Snell’s law that is pretty important to the Navy is the effect of thermoclines in the ocean on the sound waves used by sonar systems to find submarines. The oceans typically have thermoclines (sharp changes in temperature, salinity, etc.) at depths of ?~200 ?. The speed of sound above the thermocline is ? = 1510 ?/? and the speed below is ?= 1500 ?/?.

B. For which direction is total internal reflection possible? For sound coming from below the thermocline, or for sound coming from above? Explain your reasoning.

C. What is the critical angle ?? for total internal reflection in this case?

1. Please determine the maximum wind speed for a tropical cyclone with the following wind speeds. NOTE!!! Assume the ambient (external) pressure to be 101.3 kPa (Be sure to remember your units)

(a) Pressure of 90.6 kPa

(b) Pressure of 91.9 kPa

(c) Pressure of 93.8 kPa

(d) Pressure of 97.1 kPa

Determine the minimum and maximum impact parameters bmin and bmax for the classical derivation of charged particle collisional stopping power. Explain the physical meaning of each.

7. A very long straight wire carries a 12-A current eastward and a second very long straight wire, 42 cm below the first wire, carries a 14-A current westward. The wires are parallel to each other. Calculate the total magnetic field halfway between the wires. Include the direction.

How is energy an eigenvalue? Do the math.

Kinetic energy= T= 1/2 mv^2 = p^2 / 2m = h^2 / 2m Lambda^2

1. A 200 g aluminum calorimeter can contain 500 g of water at 20 C. A 100 g piece of ice cooled to -20 C is placed in the calorimeter.

1. Find the final temperature of the system, assuming no heat losses. (Assume that the specific heat of ice is 2.0 kJ/kg K)
2. A second 200 g piece of ice at -20 C is added. How much ice remains in the system after it reaches equilibrium?
3. Would your answer to part b be different if both pieces of ice were added at the same time?

(specific heat of aluminum is 0.9 kJ/kg K and water is 4.18 kJ/kg K)

While unrealistic, we will examine the forces on a leg when one falls from a height by approximating the leg as a uniform cylinder of bone with a diameter of 2.3 cm and ignoring any shear forces. Human bone can be compressed with approximately 1.7 × 108 N/m2 before breaking. A man with a mass of 80 kg falls from a height of 4 m. Assume his acceleration once he hits the ground is constant. For these calculations, g = 10 m/s2.

Discuss the relative effectiveness of dieting and exercise in losing weight, noting that most athletic activities consume food energy at a rate of 300 to 400 Cal/h, while a single cup of yogurt can contain 325 Cal. Specifically, is it likely that exercise alone will be sufficient to lose weight? You may wish to consider that regular exercise may increase the metabolic rate, whereas protracted dieting may reduce it.

6. A long, straight wire has a 10.0-

1)A 75 kg cyclist races around a circular track at a constant speed of 20 m/s. The radius of the track is 50 m. Express both of your answers to the nearest whole number.

a) What is the acceleration of the cyclist?

b) What is the net force acting on the cyclist?

2)In the Bohr model of the hydrogen atom, an electron circles a proton in an orbit whose radius is 5.30 x 10^-11 m.

a) Find the magnitude of the gravitational force between the electron and the proton

b) Find the magnitude of the electrostatic force between the electron and the proton.

For both, express your answer in scientific notation, rounded to the nearest tenth.

3)Strictly speaking, Newton's law of universal gravitation, F = Gm₁m₂/r², is valid only if the masses are either point masses or __________________.

To receive full credit for any answer, you must explain your answers and include a logical and correct application of physics principles and/or definitions in your explanation.

If there is a mathmatecal solution or drawing to help understand the problem please include

1.    To compute the pressure difference between two points in a fluid, you must add the pressure differences determined from Bernoulli’s equation and Poiseuille’s law. a) Give an example of an actual situation where Bernoulli’s equation can be ignored in computing the pressure difference, and b) an example of an actual situation where Poiseuille’s law can be ignored. In both examples, the points must be chosen so that the distance between the two points is not zero. (Note that an actual situation means a real situation, one that occurs in nature or can be realized in the lab.)