You are give a system about which two things are known: the relation between pressure,

volume and temperature, and the heat capacity at constant volume (α is a constant) PV^3=αT; CV =A(V)T

Please
(a) Find the derivative of entropy with respect to volume at fixed T

(b) Show that the coefficient A(V ) in the specific heat is independent of V

(c) Find S(T,V) in terms of the (assumed known) value S0 of the entropy at a given temperature and volume T0, V0, S0 = S(T0, V0).

(d) Find the heat capacity at constant pressure

Consider a case in which we have an Einstein solid that is neither at high or low temperature. In this case, we cannot use either the N>>q or q>>N approximation. In this case both N and q are >> 1. Derive an expression for the chemical potential then discuss how this more general result differs from and/or could correlate to the low and high temperature cases.

Thermodynamics

Choices: True or False.

If velocity is zero then acceleration must be zero too.

If speed is constant then acceleration is zero.

If velocity is constant then speed must be constant too.

If speed changes then velocity must change too.

Object slows down if it's acceleration is negative.

If speed is constant then velocity must be constant too.

A spring with force constant k = 175 N/m is attached to the ground. On top of the spring a 1.30 kg metal pan is attached. The combination could be used as a scale, but we are going to do something more interesting. We place a metal ball with mass 0.250 kg on the tray and then the tray is pushed down 0.150 m below its equilibrium point and released from rest (take this as t = 0).

a) At what time does the ball lose contact with the metal pan? Carefully consider direction and remember that ω is in rad/s.

b) How high above the equilibrium point is the pan at this time?

c) How fast is the ball moving at the time it loses contact with the pan?

A small block with mass 0.0550 kg slides in a vertical circle of radius 0.0740 m on the inside of a circular track. There is no friction between the track and the block. At the bottom of the block's path, the normal force the track exerts on the block has magnitude 3.40 N Part A What is the magnitude of the normal force that the track exerts on the block when it is at the top of its path?

Related to Astrophysics

Explain what is the Gamow peak

Explain why a fast neutron (1-10MeV) has a much higher relative biological effectiveness (RBE) than a positron that results from a beta decay.

4) A nucleus of radioactive radium (226Ra), initially at rest, decays into a radon nucleus (222Rn) and an alpha-particle (a 4He nucleus). If the kinetic energy of the alpha-particle is 6.72 × 10^ -13 J, what is (a) the recoil speed of the radon nucleus, and (b) its kinetic energy? The superscripts indicate, roughly, the mass of each nucleus in unified mass units (u), where 1 u = 1.66 × 10^ -27 kg.

WILL RATE YOU!!!

Suppose you wanted to hang a frame imaged on the wall. The object will be hanging by two strings. Both of the strings attached are at the top of the framed imaged. The second string angel is 142 degrees (counter-clockwise from right) and the first string angel is 52 degrees (counterclockwise from right) and the tension is 48 N.

-Make a force diagram. What could be the tension in the second string?

-What must be the mass of the object hanging?

1. The U.S. Navy has long proposed the construction of extremely low-frequency (ELF waves) communications systems; such waves could penetrate the oceans to reach distant submarines.

Calculate the length of a quarter-wavelength antenna for a transmitter generating ELF waves of frequency 91 Hz.
km =

2. What are the wavelength ranges for the following?

(a) the AM radio band (540-1600 kHz)
m (maximum wavelength)
m (minimum wavelength)

(b) the the FM radio band (88-108 MHz)
m (maximum wavelength)
m (minimum wavelength)

3. The angle of incidence of a light beam in air onto a reflecting surface is continuously variable. The reflected ray is found to be completely polarized when the angle of incidence is 57.0

Calculate the energy of the lowest allowed energy level (the ground state) according to Bohr's Model of the Hydrogen Atom. Give your answer in units of eV with two decimals.

Which property affects the strength of a rope?

I have a practical for physics lab soon. Can you walk me through how to do the following and the equations I would need.

Measure the combined focal lengths of a two-lens combination consisting of a spherical and cylindrical lens in contact. Qualitatively compare measured and expected values.

Apparatus: An optical track with two lenses (spherical and cylindrical); a ruler; and a lamp-house with a coarse wire mesh on it. The focal length of each lens will be given to you.

Procedure:

Put the spherical lens and the cylindrical lens together on

the track as close as they can go. Put the screen on the track, at the op-

posite end from the lamp-house. Move the two-lens combination until an

appropriately sharp real image is formed. It may also be necessary to make

adjustments by rotating the cylindrical lens in its holder. Measure object

distance and image distance. Next move the screen closer to the two-lens

combination until a second appropriately sharp real image is formed. Again,

measure object distance and image distance. From the object and image

distances, calculate the focal length corresponding to each image. Then, us-

ing the focal lengths of each individual lens as given to you, calculate the

expected focal lengths of the two-lens combination. Qualitatively compare

these expected focal lengths to the ones calculated from image and object

distances.

1. A particle mass 10x10^-25 kg and charge +3x10^-16 C is projected with a velocity of 5x10⁶ m/s in the +x-direction into a uniform magnetic field of 2.0T in the -z direction. Whic of the following is correct?

a.) The particle will follow counterclockwise circular path of radius 0.833 mm

b.) none of the choices

c.) The particle will follow clockwise circular path of radius 0.833 mm

d.) The particle will follow an upward path (+y direction) of radius 8.33 mm

e.) The particle will follow an downward path (+y direction) of radius 8.33 mm

2. Which of the following is NOT true for principal rays passing through a converging lens?

a.) Incident rays passing through the optical center of the lens does not deviate from its original path.

b.) Incident rays from an object at infinity and parallel to the principal axis are refracted to the focus on the same side of the lens.

c.) All of the choices are true.

d.) Incident rays passing through the focus before the lens are refracted parallel to the principal axis.

e.) Incident rays parallel to the principal axis are refracted to the focus on the other side of the lens.