(a) Construct the P-V graph for the Carnot cycle operating between 700 and 200 ^oC if isothermal expansion of water vapor occurs between 1 and 8 L/mol. Determine the relevant quantities of heat, work, energy and entropy. Compare the results obtained using the IGL and the NIST database.

3. Explain why one side of the single magnet attracted the metal surface, but repelled the stack of magnets.

4. What orientation of the magnets gives the strongest repulsion or attraction? Why do you think that is the case? What must be true of the magnetic field at those locations compared to other locations around the magnet?

5. If you cut a bar magnet in half, are the two halves still magnets? Explain your reasoning

.6. How does the magnet attract something that is originally non-magnetic?

An electron in the beam of a cathod-ray tube is accelerated by a potential difference of 2.20 kV . Then it passes through a region of transverse magnetic field, where it moves in a circular arc with a radius of 0.185 m .

1) What is the magnitude of the field?

Express your answer with the appropriate units.

Consider three point charges arranged along the xx axis. Charge q1q1q1 = -4.20 nCnC is located at x=x= 0.240 mm and charge q2q2q2 = 2.40 nCnC is at x=x= -0.310 mm . A positive point charge q3q3 is located at the origin.

a-Calculate the value of q3q3 such that the net force on this point charge has a magnitude of 4.80 μNμN

b-Where along the xx axis can q3q3 be placed and the net force on it be zero, other than the trivial answers of x=+∞x=+∞ and x=−∞x=−∞?

(a) Show that if operators have common eigenstates they will commute.

(b) Show also that the opposite is true too: if two operators commute they have common eigenstates.

What are the three neutron interactions of interest in a fissile environment?

Briefly explain the quantization of the rotational kinetic energy in two dimensions with a figure.
And explain what it means to rotate electrons in a hydrogen atom.

Describe how a mechanical wave reflects off of different surfaces. Explain why reflection is different for a loose end vs a fixed end

Describe what happens to the displacement of the string when the waves interfere in each instance.

*Upload a screenshot of two different standing wave situations.

Explain why they are standing waves.

*Describe the variable values for each situation (v, L, f, λ, n)

Consider the step potential
V (x) = 0 x ≤ 0 (I)

= V0 x > 0 (II) .
(a) What does the wave function for the scattering problem with 0 < E < V0 look like in regions I and II? (Write the equation for the wave functions, including only terms with non-zero coefficients.)
(b) What are the boundary conditions for the wave function and its derivative at x = 0? Define constants you are using (e.g., κ, k, l or whatever else you are using).
(c) Find the reflection coefficient.

A 1410-kg car moving east at 17.0 m/s collides with a 1880-kg car moving south at 15.0 m/s, and the two cars connect together.

a) What is the magnitude of the velocity of the cars right after the collision? (m/s)

b) What is the direction of the cars right after the collision? Enter the angle in degrees where positive indicates north of east and negative indicates south of east. (°)

c) How much kinetic energy was converted to another form during the collision? ( kJ)

If the 2.00 cm diameter inlet tube narrows to 1.00 cm in diameter, what is the pressure drop in the narrow section for the 2.16 m/s airflow in the 2.00 cm section? (Suppose the air density is 1.25 kg/m3.)

a. 20.3 Pa

b. 11.7 Pa

c. 45.7 Pa

d. 43.7 Pa

Two rigid objects, a ring and solid disc, have the same mass, radius and angular velocity. If the same braking torque is applied to each one, which takes longer to stop?

a. disco

b. more information is needed

c. both equally

d. aro

A uniform solid sphere rolls down a slope of height 3 m after starting from rest. To calculate your speed at the bottom of the tilt, one needs to know:

a. the mass and radius of the sphere.

b. the mass of the sphere.

c. the radius of the sphere.

d. no more than what is given in the problem.

Why do steam bubbles get larger in boiling water as they approach the surface?

a. Bubbles always get bigger after they form.

b. The pressure of the bubbles increases as they rise.

c. They just seem to get bigger, this being just an optical effect.

d. Water pressure decreases as the bubble rises to the surface.

A disc has a moment of inertia of 3.0 x 10-4 kg m2 and rotates with an angular velocity of 3.6 rad/s. What net torque should be applied to stop it in a time of 3.6 seconds?

a. 3.00E–4 N.M

b. 3.89E-4 N.m

c. 4.32E-4 N.m

d. 30.0E-4 N.m

A solid 2.50 kg mass sphere and a radius of 0.120 m is at rest at the top of a 15.0 0 sloping ramp, rolling down without slipping. The top end of the ramp is 1.20 m higher than the lower end. Find the total kinetic energy of the sphere when it reaches the end.

a. 29.4 J

b. 70.0 J

c. 47.9 J

d. 8.80 J

In a pool, a basketball is submerged at 1m deep, what happens to the thrust force (buoyant) exerted on the ball as you take it further to the bottom?

a. Decreases.

b. Increase.

c. It is impossible to determine.

d. It stays constant.

Two spheres, one hollow and one solid, rotate with the same angular velocity around an axis through its centers. Both spheres have the same mass and radius. Which sphere has the highest rotational kinetic energy?

a. the hollow sphere.

b. the solid sphere.

c. Mission impossible.

d. They have the same kinetic energy.

A porrist takes two batons and holds them in the middle at right angles to make an "X"-shaped solid. Each baton is 0.70 m long and each ball at the end is 0.10 kg. (Ignore the mass of the rods.) What is the moment of inertia of the "X" system if it rotates around the center through the axis perpendicular to both rods?

Select one:

a. 4.9E–2 kg.m²

b. 7.0E–3 kg.m²

c. 2.5E-2 kg.m2

d. 1.2E-2 kg.m2

Bats can navigate using the earth’s field—a plus for an animal that may fly great distances from its roost at night. If, while sleeping during the day, bats are exposed to a field of a similar magnitude but different direction than the earth’s field, they are more likely to lose their way during their next lengthy night flight. Suppose you are a researcher doing such an experiment in a location where the earth’s field is 52 µT at a 60° angle below horizontal. You make a 50-cm-diameter, 100-turn coil around a roosting box; the sleeping bats are at the center of the coil.

a) Draw a diagram of the field and compute the magnitude of the horizontal and vertical components. The horizontal component points north.

b) If you add a horizontal field that is double the earth’s horizontal field but that points south, what is the new horizontal component?

c) Describe the magnitude and direction of the total field. How might you expect this to affect the bat’s navigation?

d) What current do you need in the coil to produce the noted field? What is the necessary orientation of the axis of the coil?

A sphere of matter, of mass M and radius a, has a concentric cavity of radius b. Find the gravitational force F exerted by the sphere on a particle of mass m, located a distance rfrom the center of the sphere, as a function of r in the range 0 ? r ? ? . Consider points r = 0; b; a and ? in particular.

A straight wire carries a 12-A current eastward and a second straight wire carries a 14-A current westward. The wires are separated by a distance of 42 cm. The force on a 6.4 m length of one of the wires is..

A uniform line charge of linear charge density = 2.9 nC/m extends from x = 0 to x = 5 m.

a) What is the total charge?

b) Find the electric field on the x axis at x = 6 m.

c)Find the electric field on the x axis at x = 11 m.

d)Find the electric field on the x axis at x = 250 m

e) Find the field at x = 250 m, using the approximation that the charge is a point charge at the origin.

f)Compare your result with that for the exact calculation in part (d).