An ideal monoatomic gas is separated into two volumes V1 and V2 by means of
of a diathermic piston, such that each volume contains N atoms and both parts are
they find at the same temperature T0. The complete system is isolated from the
exterior by means of insulating walls.
The piston is externally manipulated reversibly until the two gases are
they find in thermodynamic equilibrium one with the other.
The purpose is to find the final temperature and the work done, or by the system, or
in the surroundings.
To answer this problem, follow the steps described below and answer
the questions that are asked:
a) What is the name of the type of process described? Show that
ΔS1 = -ΔS2
where ΔS1 and ΔS2 are the changes in the entropies of the two gases.
b) Write the equilibrium conditions in the final state and find the final volumes
On each side.
c) Find the final temperature. (Hint: Use the First Law on each side and the
result of subsection a)).
d) Find the total work due to the manipulation of the piston. Does the system do work
Or does the external agent do work on the system? Explain

w2.18.36

A 5.00 pFparallel-plate air-filled capacitor with circular plates is to be used in a circuit in which it will be subjected to potentials of up to 75.0 V. The electric field between the plates is to be no greater than 9850 N/C.

Part A: As a budding electrical engineer for Live-Wire Electronics, your tasks are to design the capacitor by finding what its physical dimensions must be.

Part B: As a budding electrical engineer for Live-Wire Electronics, your tasks are to design the capacitor by finding what its separation must be.

Part C: As a budding electrical engineer for Live-Wire Electronics, your tasks are to find the maximum charge these plates can hold.

start with water at an extremely cold temperature of -50ºC. Explain what happens as you slowly add heat to the water until it is at 175ºC. Explain both the macroscopic (or large scale) changes, as well as the microscopic (or atomic-level), changes.

An MRI technician moves his hand from a region of very low magnetic field strength into an MRI scanner's 1.60 T field with his fingers pointing in the direction of the field. His wedding ring has a diameter of 2.15 cm, and it takes 0.380 s to move it into the field.

(a) What average current is induced in the ring if its resistance is 0.0100 Ω? (Enter the magnitude in amperes.)

_________A

(b) What average power is dissipated (in W)?

_________W

(c) What average magnetic field is induced at the center of the ring? (Enter the magnitude in teslas.)

__________T

(d) What is the direction of this induced magnetic field relative to the MRI's field?

A. parallel

B. antiparallel

C. The magnitude is zero.

Select the correct answer

1- The current i through an inductor cannot change abruptly. The rate of change di/dt also cannot change abruptly. Both quantities must always be continuous. (True/ FALSE)

2- When a steady current flows through an inductor, there is no energy flow in or out of the inductor. (True/ FALSE ).

3- Long after an emf has been connected to an RL circuit and the current has stabilized, the voltage across the inductor is (Zero / None Zero)

4- When the current through an inductor increases, energy is (stored within / released from) the inductor. When the current decreases, energy is (stored within/ released from) the inductor.

5-The ballast used for a fluorescence tube keeps the current from growing unacceptably large (True/ False).

6-If you increase the inductance in an RL circuit, it takes __________ for the current to reach its final value. (More time/ Less time).

7-The voltage across an inductor is proportional to what? (The current through it /  The derivative in time of the current through it / The integral in time of the current through it).

8-If you increase the resistance in an RL, it takes ______________ for the current to reach its final value. (more time/ less time).

9- Immediately after an emf is connected to an RL circuit, the current through the inductor is ___________.(zero/ nonzero)

10- The final (steady state) current through a circuit containing a source of emf, a resistor, and an inductor does not depend of the value of the inductance. (True / false)

11- If the current doubles in an ideal solenoid, what happens to its magnetic energy density? (It is halved /  It is doubled/ It is quadrupled /It is quartered).

x   y
11   7.74
9   6.61
12   12.98
10   7.14
12   7.88
13   8.68
5   6.06
4   5.24
13   8.3
7   6.61
6   5.93...

Find the equation of the regression line.

y = mx + b

A 0.3 Kg ball is initially at rest at the top left side of a frictionless incline plane: The incline is 0.25 m height and has a length of 0.65 m.

a) What is the initial Gravitational Potential Energy of the Ball at the top of the incline? b) What will be the final Kinetic energy of the ball at the bottom right side of the incline? c) If there were friction between the ball and the incline, what would happen to the final Kinetic energy of the ball at the bottom of the incline? Increase, decrease, or states the same?

Part A

An electron is moving east in a uniform electric field of 1.52 N/C directed to the west. At point A, the velocity of the electron is 4.54×10⁵ m/s pointed toward the east. What is the speed of the electron when it reaches point B, which is a distance of 0.360 m east of point A?

Part B

A proton is moving in the uniform electric field of part A. At point A, the velocity of the proton is 1.89×10⁴ m/s , again pointed towards the east. What is the speed of the proton at point B?

A charge per unit length λ = +6.00 μC/m is uniformly distributed along the positive y-axis from y = 0 to y = +a = +0.400 m. A charge per unit length λ = -6.00 μC/m, is uniformly distributed along the negative y-axis from y = 0 to y = –a = -0.400 m. What is the magnitude of the electric field at a point on the x-axis a distance x = 0.271 m from the origin?

Annotate these equations

v=d/t a=∆v/t average speed =total distance/total time v=v0+at d=v0t+1/2at² Fnet=ma w=mg ac=v²/r Fc=mv²/r W=Fd   P=W/t   

EK=1/2mv² W= ∆EK   Es=1/2kx² Eg=mgh TC=5/9(TF−32) TF=9/5TC+ 32 TK=TC+ 273 Q=mc∆t Q=±mL

An ice cube of mass 0.029 kg and temperature -13 ∘C is dropped into a styrofoam cup containing water of mass 0.4 kg and temperature 20 ∘C. Calculate the final temperature in degrees celcius and give your answer to one decimal place. (For simplicity, we ignore here the temperature change of the cup.)

The specific heat of ice is 2200 J/kg ∘C and the specific heat of water is 4186 J/kg ∘C. The latent heat of fusion of ice is 334000 J/kg ∘C.

4. Two carts collide and stick together in a lab experiment. Cart 1 has a mass of 550 g and a speed before the collision of 2.5 m/s. Cart 2 has a mass of 320 g and a speed of -4.1 m/s. Consider the 2 carts to be the system.

A. What is the total momentum of the system before the collision?

B. What is the velocity of the 2 carts after the collision?

C. If the collision takes 0.15s, what is the average force and acceleration experienced by each cart? Explain any differences between the answers for the 2 carts.

D. What speed would cart 2 need to have for the carts to be stationary after the collision?

Item 3.8

An X-ray photon scatters from a free electron at rest at an angle of 125 ∘ relative to the incident direction.

Part A

If the scattered photon has a wavelength of 0.310 nm, what is the wavelength of the incident photon? Express your answer using three significant figures.

Part B

Determine the energy of the incident photon.Express your answer using three significant figures.(end unit is keV)

Part C

Determine the energy of the scattered photon. Express your answer using three significant figures.(end unit is keV)

Part D

Find the kinetic energy of the recoil electron.Express your answer using one significant figure.(end unit is eV)

Explain why the principle of conservation of mass is not true for any process that releases energy (or requires energy input). Why didn't anyone predict or observe this until the 1900s?

In a location where the speed of sound is 332 m/s, a 2,000 Hz sound wave impinges on two slits 30 cm apart.

(a) At what angle is the first-order maximum located?
°

(b) If the sound wave is replaced by 4.60 cm microwaves, what slit separation gives the same angle for the first-order maximum?
cm

(c) If the slit separation is 1.00 μm, what frequency of light gives the same first-order maximum angle?
Hz