Refer to diagram 2.

A flask contains 78.2 moles of a monatomic ideal gas at pressure 8.33 atm and volume 49 liters. point A on the graph. Now, the gas undergoes a cycle of three steps:

- First there is an isothermal expansion to pressure 1.74 atm (point B on the graph).

- Next, there is an isochoric process in which the pressure is raised to P1 (point C on the graph).

- Finally, there is an isobaric compression back to the original state (point A on the graph).

Find the total work done, in kJ, over the entire cycle (from A back to A).

A positive value means work was done by the gas; a negative value means work is done on the gas. Why is this a poor sort of engine?

A uniformly charged insulating rod of length 13.0 cm is bent into the shape of a semicircle as shown in the figure below. The rod has a total charge of -6.50

a. A 0.5 kg mass attached to a linear spring, with spring constant 5 N/m and damping constant 0.2 kg/s, is initially displaced 10 cm from equilibrium. (a) What is the natural frequency of oscillation? What is its period of oscillation? How long does it take for the amplitude to decrease to 10% of its starting value? How many oscillations have occurred in this time? What fraction of the initial energy remains after this time?

b. Two traveling waves with the same amplitude A, frequency f, and wavelength λ, but out of phase with each other by one quarter of a wavelength, are both traveling to the right and superpose in space. Find the amplitude, wavelength, and frequency of the resulting wave in terms of the given symbols. Write the equation of the resulting traveling wave y ( x , t ).

A box slides down a plank of length d that makes an angle of θ with the horizontal as shown. μ_k is the kinetic coefficient of friction and μ_s is the static coefficient of friction.

a) Enter an expression for the minimum angle θ (in degrees) the box will begin to slide.

b) Enter an expression for the nonconservative work done by kinetic friction as the block slides down the plank. Assume the box starts from rest and θ is large enough that it will move down the plank.  

c)

± Calculating Flux for Hemispheres of Different Radii Learning Goal: To understand the definition of electric flux, and how to calculate it. Flux is the amount of a vector field that "flows" through a surface. We now discuss the electric flux through a surface (a quantity needed in Gauss's law): ΦE=∫E⃗ ⋅dA⃗ , where ΦE is the flux through a surface with differential area element dA⃗ , and E⃗ is the electric field in which the surface lies. There are several important points to consider in this expression: It is an integral over a surface, involving the electric field at the surface. dA⃗ is a vector with magnitude equal to the area of an infinitesmal surface element and pointing in a direction normal (and usually outward) to the infinitesmal surface element. The scalar (dot) product E⃗ ⋅dA⃗ implies that only the component of E⃗ normal to the surface contributes to the integral. That is, E⃗ ⋅dA⃗ =|E⃗ ||dA⃗ |cos(θ), where θ is the angle between E⃗ and dA⃗ . When you compute flux, try to pick a surface that is either parallel or perpendicular to E⃗ , so that the dot product is easy to compute. (Figure 1) Two hemispherical surfaces, 1 and 2, of respective radii r1 and r2, are centered at a point charge and are facing each other so that their edges define an annular ring (surface 3), as shown. The field at position r⃗ due to the point charge is: E⃗ (r⃗ )=Cr2r^ where C is a constant proportional to the charge, r=|r⃗ |, and r^=r⃗ /r is the unit vector in the radial direction.

An x-ray photon with initial energy 133 keV is scattered by an electron through an angle 60° with respect to its initial direction.

A)Find the wavelength of the scattered photon after the collision with the electron.

B) Find the final kinetic energy of the electron after the collision.

C) Find the angle (with respect to the initial direction) for the scattered electron after the collision.

A physics book slides off a horizontal table top with a speed of 1.30 m/sm/s. It strikes the floor after a time of 0.410 ss. Ignore air resistance.

Find the height of the table top above the floor.

Express your answer with the appropriate units.

Find the horizontal distance from the edge of the table to the point where the book strikes the floor.

Express your answer with the appropriate units.

Find the magnitude of the horizontal component of the book's velocity just before the book reaches the floor.

Express your answer with the appropriate units.

Find the magnitude of the vertical component of the book's velocity just before the book reaches the floor.

Express your answer with the appropriate units.

Find the magnitude of the vertical component of the book's velocity just before the book reaches the floor.

Express your answer with the appropriate units.

Find the magnitude of the book's velocity just before the book reaches the floor.

Express your answer with the appropriate units.

Find the direction of the book's velocity just before the book reaches the floor.

In this example we will apply the concept of the de Broglie wavelength to neutrons. Find the speed and kinetic energy of a neutron (m=1.675×10−27kg)(m=1.675×10−27kg) that has a de Broglie wavelength λ=0.200nmλ=0.200nm, typical of atomic spacing in crystals. Compare the energy with the average kinetic energy of a gas molecule at room temperature (T=20∘C)(T=20∘C).

Find the kinetic energy of an electron with a de Broglie wavelength of 0.163 nmnm .

1)A cylindrical water-tank has a small hole 60cm above the floor on which the tank stands. The depth of water in the tank is 1.8m.Assume the diameter of the tank to be greater than that of the hole. 1a) Find the horizontal distance from the side of the tank to the point on the floor where the stream of water lands. 1b) At what other height from the base of the tank would a second hole be drilled for water from this hole to strike the base at the same point as the first hole?

2) Water flows along the horizontal pipe cross section area 48cm²   which has a constriction of cross section area 12cm² at one place. If the speed of water at the constriction is 4m/s, calculate the speed in the wider section and hence the pressure at the constriction if the pressure in the wider section is 1.0 x 10⁵ pa. Density of water is 1000kg/m³

3)What volume of water will escape per minute from a tank through an opening 2cm in diameter and 5m below the level of water?

4)A venturi meter is equipped with a deferential mercury meter. The inlet diameter is 30cm and the throat diameter is 15cm. Find the ideal flow of water through the meter if the difference in height between the mercury columns is 23cm. Relative density of mercury is 13.6

5) Mercury at 20 degrees Celsius is flowing in a pipe of 50mm diameter at a certain point A with velocity 1.83m/s² the pipe travels to point B, 3.78m above A, where the diameter has been reduced to 35mm. The pipe continues to a point C, 1.27m above B at which the diameter has changed to 75mm. The gauge pressure at A is 596 kpa. The relative density of mercury is 13.6 the atmospheric pressure is 101.325kpa and the gravitational acceleration is 9.81m/s² . What would be the readings of the pressure gauges at points B and C?

6) A tank of large area is filled with water to a depth of 0.3m . A hole of 5cm² cross section in the bottom allows water to drain out in a continuous stream. 6a)What is the rate at which water flows out the tank in m³/s? 6b) At what distance below the bottom of the tank is the cross-sectional area of the stream equal to one half of the area of the hole?

7)Water enclosed in a tank is subjected to a gauge pressure of 6x10⁵ pa, applied by compressed air introduced into the top of the tank. A small hole of 5cm² cross sectional area is in the side of the tank 5m below the level of the water. Estimate the rate at which water escapes from this hole in m³/hr.

1

A)Draw the direction and rough shape of magnetic field lines coming from a bar magnet

B)A charged particle (your choice of charge) moving at a velocity v enters a magnetic field having a magnetic field density B. Draw a picture showing how the "Right-Hand-Rule" works in this case.

All work and answers go on paper/tablet other than this quiz page.

Mitch of 70 kg is out in space in his new spacesuit. He is chillin' and listening to his favorite tunes on his CD player. (Yes, Mitch is ol' school.) Skid is in his spaceship and is moving away from Mitch at 0.8c relative to Mitch.

1. a) Skid tells Mitch over the radio that is takes 12 ms for the CD to make one revolution. How long does Mitch say is takes the CD turn make one revolution?

2. b) Mitch tells Skid that his spaceship is 15 m long. How long does Skid say his ship is?

3. c) What is Mitch's relativistic energy relative to Skid?

4. d) Skid wants Mitch to listen to his new album 3 Lb. Thrill. So, he ejects it out of his spaceship towards Mitch at 0.5c relative to the ship. What is the magnitude and state the direction of the velocity of Skid's album relative to Mitch?

Two pipes, equal in length, are each open at one end. Each has a fundamental frequency of 479 Hz at 299 K. In one pipe the air temperature is increased to 306 K. If the two pipes are sounded together, what beat frequency results?

Pose a problem situation in real life, where you need mechanical physics to solve it. Situations similar to those we have been working on previous activities (A1, A2 and A3). The problem posed must contain the following topics, without being limited to this list:

1. Conservation of Mechanical Energy

2. Conservation of the linear or two-dimensional moment.

3. Conservation of the angular Moment.

(Examples with cars)

Compute the image location and magnification of an object 40 cm from a doublet thin lens
combination having focal lengths f1 = +20 cm and f2 = −60 cm, given that the second
lens is positioned 12 cm behind the front one. If the object is two centimeters high determine
the size and the type of the image. Make a sketch of appropriate rays that support your
findings.

You have a diffraction grating with 3000 lines/cm. You also have a light source that emits light at 2 different wavelengths, 428 nm and 707 nm, at the same time. The screen for your experiment is 1.5 meters from the diffraction grating.

A. What is the line spacing for the grating?

B. What is the difference in the angle of the 2nd bright fringe for each wavelength for this grating?

C. Which wavelength is closer to the center of the diffraction pattern?

D. How would the color separation be different if you used a 1200 lines/cm grating? Explain.

E. What is the width of the central maximum for each wavelength if the same light source is used to illuminate a single slit with a width of 0.054 mm?