An electron of kinetic energy 0.972 keV circles in a plane perpendicular to a uniform magnetic field. The orbit radius is 26.9 cm. Find (a) the electron's speed, (b) the magnetic field magnitude, (c) the circling frequency, and (d) the period of the motion.

A particle with an initial linear momentum of 3.72 kg · m/s directed along the positive x-axis collides with a second particle, which has an initial linear momentum of 7.44 kg · m/s, directed along the positive y-axis. The final momentum of the first particle is 5.58 kg · m/s, directed 45.0° above the positive x-axis. Find the final momentum of the second particle.

If 200 g of water is contained in a 300g aluminum calorimeter at 20

Then answer the following questions about each unit:

What is the name of the unit that you found, and how is it commonly used? How do you convert an everyday quantity (mass of a candy bar, the volume of a soda can, length of a soccer field, etc.) into that unit?

On average, a lightning flash on Earth transfers about 30 C is transferred across 1 GV.

Suppose that, in a single lightning flash, 27.7 C of charge is transferred through a potential difference of 2.44 GV. If all this energy could be used to accelerate a car of mass 1,427 kg car from rest, what speed would the car reach, in m/s?

NOTE: 1000 m/s is 2237 miles per hour!

List the three phases of matter in order of the distance between the particles. List the properties of each phase. Explain what causes matter to change states.

The muon is a subatomic particle with the same charge as an electron but with a mass that is 207 times greater: m?=207me. Physicists think of muons as "heavy electrons." However, the muon is not a stable particle; it decays with a half-life of 1.5 ?s into an electron plus two neutrinos. Muons from cosmic rays are sometimes "captured" by the nuclei of the atoms in a solid. A captured muon orbits this nucleus, like an electron, until it decays. Because the muon is often captured into an excited orbit (n>1), its presence can be detected by observing the photons emitted in transitions such as 2?1 and 3?1.
Consider a muon captured by a carbon nucleus (Z=6). Because of its large mass, the muon orbits well inside the electron cloud and is not affected by the electrons. Thus the muon "sees" the full nuclear charge Ze and acts like the electron in a hydrogen-like ion.

Part 1: What is the orbital radius of a muon in the n=1 ground state? Note that the mass of a muon differs from the mass of an electron? Solving for r₁

Part 2: What are the speed of a muon in the n=1 ground state? Solving for v₁

Part 3: What is the wavelength of the 2?1 muon transition? solving for lambda

Part 4: How many orbits will the muon complete during 1.5 ?s? Solve for N

A gas occupies a volume of 0.35 m3 at a pressure of 1.0 atm.

The pressure is increased linearly with respect to volume until a final pressure of 2.0 atm is reached, with the final volume being 0.20 m3 .

a. Can you tell from the given information if this gas is an ideal gas?

b. Calculate the work done on the gas during the compression.

How do you observe atomic gas, ionized gas, ongoing star formation, and accelerated charged particles?

A 0.25 kg mass sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (with k = 800 N/m) whose other end is fixed. The mass has a kinetic energy of 9.0 J as it passes through its equilibrium position (the point at which the spring force is zero).

1.At what rate is the spring doing work on the mass as the mass passes through its equilibrium position?

2.At what rate is the spring doing work on the mass when the spring is compressed 0.075 m and the mass is moving away from the equilibrium position?

A 2.40 kg box is moving to the right with speed 9.00 m/s on a horizontal, frictionless surface. At t= 0 a horizontal force is applied to the box. The force is directed to the left and has magnitudeF(t)=( 6.00 N/s2 )t2

a). What distance does the box move from its position at t=0 before its speed is reduced to zero?

b). If the force continues to be applied, what is the velocity of the box at 5.00 s ?

A wheel is rotating freely at angular speed 530 rev/min on a shaft whose rotational inertia is negligible. A second wheel, initially at rest and with 5 times the rotational inertia of the first, is suddenly coupled to the same shaft. (a) What is the angular speed of the resultant combination of the shaft and two wheels? (b) What fraction of the original rotational kinetic energy is lost?

The Compton Effect. X-rays of wavelength ? = 61.0 pm are scattered from a thin foil of boron. What is the wavelength of the Compton scattered photons detected at the following angles (relative to the incident beam)? (Your answer should use three significant figures.)

(a) 15

A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 59.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 810-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude N direction vertical force magnitude N direction (b) If the ladder is just on the verge of slipping when the firefighter is 9.40 m from the bottom, what is the coefficient of static friction between ladder and ground? (c) What If? If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips?

m

A box contains N identical gas molecules equally divided between its two halves. For

N = 30,

what are the following?

(a) the multiplicity W of the central configuration


(b) the total number of microstates


(c) the percentage of the time the system spends in the central configuration
%

For

N = 52,

what are the following?

(d) W of the central configuration


(e) the total number of microstates


(f) the percentage of the time the system spends in the central configuration
%

For

N = 80,

what are the following?

(g) W of the central configuration


(h) the total number of microstates


(i) the percentage of the time the system spends in the central configuration
%

(j) Does the time spent in the central configuration increase or decrease with an increase in N?