Spokes-N-Wheels, Inc. markets bicycles and bicycle-related products through the mail. Their market consists of serious cyclists throughout the United States. They compete successfully by offering upscale specialized equipment at competitive prices and giving exceptional customer service. Spokes-N-Wheels offers a complete line of cycling products. Complete bicycles are the largest contributor to both revenue and profit; however, they carry other cycling-related products in their catalog. Some items are carried even though they are marginally profitable since SpokesN-Wheels wants to be able to meet all the customers’ cycling needs. They do not want a customer to go to a competitor for a unique item because most mail-order customers prefer to deal with a single company. If customers order one item from a competitor, they are likely to order other items as well. Spokes-N-Wheels’ products are divided into four product lines:  Bicycles: Complete bicycles  Components: Frames, wheels, gears, etc., that customers use to construct, enhance, or maintain their own bicycles  Accessories: Helmets, water bottles, etc.  Clothing: Cycling apparel Each product line has a product manager. Spokes-N-Wheels publishes four catalogs per year. Each product manager wants to get as much display space (measured in square inches) in the catalog as possible. Although they have never analyzed it, they believe that the more display space devoted to an item, the more sales generated by the item. By coding orders, they are able to identify from which issue of the catalog the customer is ordering. Recently, Spokes-N-Wheels’ President and Chairman have become concerned about an apparent drop in sales. Sales from the last catalog were at a 3-year low. They do not know whether this is a one-time fluke or a trend. To boost sales, they have been increasing the amount of display space devoted to complete bicycles, their largest revenue line—but this does not seem to be enough The table below \begin{tabular}{cccccccccccc} Period & Year & Catalog & $\begin{array}{l}\text { Total } \\ \text { Sales }\end{array}$ & $\begin{array}{l}\text { Bikes } \\ \text { sq. in. }\end{array}$ & $\begin{array}{l}\text { Bikes } \\ \text { Sales }\end{array}$ & $\begin{array}{l}\text { Comp. } \\ \text { sq. in. }\end{array}$ & $\begin{array}{l}\text { Comp. } \\ \text { Sales }\end{array}$ & $\begin{array}{l}\text { Access. } \\ \text { sq. in. }\end{array}$ & $\begin{array}{l}\text { Access. } \\ \text { Sales }\end{array}$ & $\begin{array}{l}\text { Cloth. } \\ \text { sq. in. }\end{array}$ & $\begin{array}{l}\text { Cloth. } \\ \text { Sales }\end{array}$ \\ \hline 1 & 1988 & 1 & 5,575 & 500 & 2,875 & 360 & 1,560 & 380 & 720 & 440 & 420 \\ 2 & 1988 & 2 & 6,140 & 460 & 2,530 & 630 & 2,700 & 320 & 660 & 270 & 250 \\ 3 & 1988 & 3 & 5,915 & 630 & 3,030 & 420 & 1,995 & 270 & 510 & 360 & 380 \\ 4 & 1988 & 4 & 6,925 & 680 & 4,290 & 340 & 1,580 & 470 & 880 & 190 & 175 \\ 5 & 1989 & 1 & 6,220 & 620 & 2,780 & 430 & 2,490 & 340 & 640 & 290 & 310 \\ 6 & 1989 & 2 & 5,980 & 570 & 2,370 & 430 & 2,590 & 360 & 680 & 320 & 340 \\ 7 & 1989 & 3 & 6,190 & 420 & 1,750 & 550 & 3,380 & 420 & 750 & 290 & 310 \\ 8 & 1989 & 4 & 6,710 & 720 & 3,550 & 370 & 2,300 & 230 & 550 & 360 & 310 \\ 9 & 1990 & 1 & 5,890 & 760 & 2,380 & 370 & 2,670 & 320 & 630 & 230 & 210 \\ 10 & 1990 & 2 & 5,780 & 690 & 2,560 & 420 & 2,370 & 350 & 640 & 220 & 210 \\ 11 & 1990 & 3 & 5,220 & 840 & 2,260 & 320 & 2,240 & 280 & 530 & 240 & 190 \\ 12 & 1990 & 4 & 4,840 & 920 & 1,800 & 300 & 2,380 & 240 & 430 & 220 & 230 \end{tabular}shows sales figures and the number of square inches devoted to each product line by catalog for the last 3 years. What conclusions can you draw? Do the data indicate only a onetime fluke, or do they suggest that a serious problem exists? Your task is to explain current market dynamics affecting Spokes-N-Wheels and to recommend possible marketing decisions based on an exploration of these data. Your recommendations should focus on the amount of advertising space that should be allocated to each product. Should some receive more space? Should some receive less?

Now we want to analyze a physical system comprised of two particles. Look at the pair-wise potential energy. Suppose r is equal to 1.2s. a) Suppose the particles are momentarily at rest at r = 1.2s (like a ball at the top of its trajectory when thrown straight up). What can you say about the total energy, Etot, and the subsequent motion of the two particles? b) Now suppose at the instant the particles have the separation 1.2s they have total KE equal to 0.1e. What can you say about the total energy, Etot, and the subsequent motion of the two particles

The pattern of displacement nodes N and antinodes A in a pipe is ANANANANANA when the standing-wave frequency is 1710 Hz. The pipe contains air at 20°C (See Table 16.1.) (a) Is it an open or a closed (stopped) pipe? (b) Which harmonic is this? (c) What is the length of the pipe? (d) What is the fundamental frequency? (e) What would be the fundamental

Consider a sound wave moving through the air modeled with the equation s(x, t) = 6.00 nm cos (54.93 m−1 x − 18.84 × 103 s−1 t).What is the shortest time required for an air molecule to move between 3.00 nm and –3.00 nm?

A plane monochromatic radio wave (? = 0.3 m) travels in vacuum along the positive x-axis, with a time-averaged intensity I = 45.0 W/m2. Suppose at time t = 0, the electric field at the origin is measured to be directed along the positive y-axis with a magnitude equal to its maximum value. What is Bz, the magnetic field at the origin, at time t = 1.5 ns? 

Compare the radial velocity method of detection of exoplanets to transit method.Explain why the majority of the exoplanets have been discovered by the transit method?

Need help Please reply within 15 minutes Problem 1. From Figurel, determine the magnitude and direction of the smallest force $\mathrm{F}_{2}$ so that the resultant force of all three forces has a magnitude of $200 \mathrm{~N}$. Hint: The direction of the resultant force and force $F_{2}$ are the same. Figure 1

\( 13.16 \) The switch in the circuit in Eig_P13.16 has been in position a for a long time. At \( t=0 \), it moves instantaneously from a to b. 1. a) Construct the s-domain circuit for \( t>0 \). 2. b) Find Vo(s). 3. c) Find \( v o(t) \) for \( t \geq 0 \). Figure P13.16>Figure P13.16 Full Alternative Text 13.16 The switch in the circuit in Fig. P13.16 has been in position a for a long time. At $\mathrm{t}=0$, it moves instantaneously from a to $\mathrm{b}$. 1. a) Construct the s-domain circuit for $t>0$. 2. b) Find $\operatorname{Vo}(\mathrm{s})$. 3. c) Find $v o(t)$ for $t \geq 0$. Figure P13.16 Figure P13.16 Full Alternative Text

Mass on a plane A 100-kg object rests on an inclined plane at an angle of 45° to the floor. Find the components of the force parallel to and perpendicular to the plane.

A scientist notices that an oil slick floating on water when viewed from above has many different rainbow colors reflecting off the surface. She aims a spectrometer at a particular spot and measures the wavelength to be 750 nm (in air). The index of refraction of water is 1.33.Part A: The index of refraction of the oil is 1.20. What is the minimum thickness of the oil slick at that spot? t= 313nmPart B: Suppose the oil had an index of refraction of 1.50. What would the minimum thickness be now? t=125nmI only need help with part c. I put this in incase you need the information.Part C: Now assume that the oil had a thickness of 200 nm and an index of refraction of 1.5. A diver swimming underneath the oil slick is looking at the same spot as the scientist with the spectromenter. What is the longest wavelength of the light in water that is transmitted most easily to the diver?

Figure 1. Natural Length of Vertical Spring Figure 2. Equilibrium Position of Block-Spring System Figure 3. Release Position of Block-Spring System displacement from equilibrium. The experiment is assumed to be performed near Earth's surface. What is the magnitude of the change in potential energy of the block-spring system when it travels from its lowest vertical position to its highest vertical position? A Zero B $2 M g L_{1}$ C $2 k_{0} L_{1} L_{2}$ D $\frac{1}{2} k_{0}\left(L_{1}+L_{2}\right)^{2}$Help with this much appreciated!

At the instant of vertical launch the rocket expels exhaust at the rate of $220 \mathrm{~kg} / \mathrm{sec}$ with an exhaust velocity of $820 \mathrm{~m} / \mathrm{sec}$. If the initial vertical acceleration is $6.80 \mathrm{~m} / \mathrm{sec}^{2}$, calculate the total mass of the rocket and fuel at launch.

$C_{2}=15.00 \mu F_{1} C_{3}=7.80 \mu F_{1}$, and $C_{4}=3.90 \mu F$. (a) Find the potential difference across each capactor and the charge stored in each. (b). The awitch is now cosed. What is the new find potentiel difference across tach capeciter and the new charge stored in each? $c_{1} \quad V_{1}=$ $\mathrm{V}$ $\mathrm{c}_{2}$ $Q_{1}=$ pe $v_{2}=$ $7 v$ c) $v_{3}=\square$ $Q_{3}=\square$ $v-\quad v c$ c. $Q_{a}=$ $x$

A point charged particle of 8 μC is held at the center of an insulating spherical shell of inner radius 6 cm and outer radius 9 cm. The shell has a uniform charge density of ρ=2×10−2 C/m3. A) What is the magnitude of the electric field at radial distance r=2cm? Express your answer numerically, to two significant figures, using ϵ0=8.85×10−12C2/(N⋅m2) B)Find

A cart of mass M moves on a frictionless track. it attached to a string, which goes over a pulley wheel, and has a mass hanging from it, at At t=0 s the cart starts from rest and accelerates, what is the tension in the string, what is the acceleration of the cart. 

Consider a gliding seed similar to that of Alsomitra macrocarpa (Fig. 12.11a, also p. 261). The seed has a mass of 250 mg., a functional lift-to-drag ratio of 4.0, a lift coefficient under the same conditions of 0.3, and a wing area of 5000 mm^2. The seed is released 15 m above the ground and reaches its final velocity essentially immediately. a. In still air, what is the greatest horizontal distance it can go from the point of release? b. How long will it take to hit the ground? c. If the seed is released into a temporally steady, spatially uniform, horizontal wind of 5 m s-1, how far will it go, (i) gliding with the wind, and (ii) gliding into the wind? d. In still air, the velocity along the glide path is about?

30. Derive the equations \[ \begin{array}{ll} m_{1} x_{1}^{\prime \prime}=-\left(k_{1}+k_{2}\right) x_{1}+k_{2} x_{2}, \\ m_{2} x_{2}^{\prime \prime}= & k_{2} x_{1}-\left(k_{2}+k_{3}\right) x_{2} \end{array} \] for the displacements (from equilibrium) of the two masses shown in Fig. 4.1.11. FIGURE 4.1.11. The system of Problem 30.

The spin of an electron is described by a vector [psi] = mat([psi_up],[psi_down]) and the spin operator S = Sxi+Syj+Szk with components Sx = (h/2)*mat([0,1],[1,0]), Sy = (h/2)*mat([0,-i],[i,0]), Sz = (h/2)*mat([1,0],[0,-1]). a)i) State the normalisation condition for [psi]. ii) Give the general expressions for the probabilities to find Sz =+-(h/2) in a measurement of Sz. iii) Give the general expression of the expectation value <Sz>. b)i) Calculate the commutator [Sy,Sz]. State whether Sy and Sz are simultaneous observables. ii) Calculate the commutator [Sx,S2], where S2 = Sx2 + Sy2 + Sz2. State whether Sx and S2 are simultaneous observables. c)i) Show that state [phi] = (1/sqrt(2))*mat([1],[1]) is a normalised eigenstate of Sx and determine the associated eigenvalue. ii) Calculate the probability to find this eigenvalue in a measurement of Sx, provided the system is in the state [phi] = (1/5)*mat([4],[3]). iii) Calculate the expectation values <Sx>, <Sy>, <Sz> in the state [psi]. Image with better formatted question is attached! The spin of an electron is described by a vector $\psi=\left(\begin{array}{c}\psi_{\uparrow} \\ \psi_{\downarrow}\end{array}\right)$ and the spin operator $\hat{\mathbf{S}}=\hat{S}_{x} \mathbf{i}+$ $\hat{S}_{y} \mathbf{j}+\hat{S}_{z} \mathbf{k}$ with components $\hat{S}_{x}=\frac{\hbar}{2}\left(\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right), \quad \hat{S}_{y}=\frac{\hbar}{2}\left(\begin{array}{cc}0 & -i \\ i & 0\end{array}\right), \quad \hat{S}_{z}=\frac{\hbar}{2}\left(\begin{array}{cc}1 & 0 \\ 0 & -1\end{array}\right)$. (a) (i) State the normalisation condition for $\psi$. (ii) Give the general expressions for the probabilities to find $S_{z}= \pm \hbar / 2$ in a measurement of $\hat{S}_{z}$. (iii) Give the general expression of the expectation value $\left\langle\hat{S}_{z}\right\rangle$. (b) (i) Calculate the commutator $\left[\hat{S}_{y}, \hat{S}_{z}\right]$. State whether $\hat{S}_{y}$ and $\hat{S}_{z}$ are simultaneous observables. (ii) Calculate the commutator $\left[\hat{S}_{x}, \hat{\mathbf{S}}^{2}\right]$, where $\hat{\mathbf{S}}^{2}=\hat{S}_{x}^{2}+\hat{S}_{y}^{2}+\hat{S}_{z}^{2}$. State whether $\hat{S}_{x}$ and $\hat{\mathrm{S}}^{2}$ are simultaneous observables. (c) (i) Show that the state $\varphi=\frac{1}{\sqrt{2}}\left(\begin{array}{l}1 \\ 1\end{array}\right)$ is a normalised eigenstate of $\hat{S}_{x}$ and determine the associated eigenvalue. (ii) Calculate the probability to find this eigenvalue in a measurement of $\hat{S}_{x}$, provided the system is in the state $\psi=\frac{1}{5}\left(\begin{array}{l}4 \\ 3\end{array}\right)$. (iii) Calculate the expectation values $\left\langle\hat{S}_{x}\right\rangle,\left\langle\hat{S}_{y}\right\rangle$ and $\left\langle\hat{S}_{z}\right\rangle$ in the state $\psi$.

16. 8a. Two pucks with mass $m_{1}=0.05 \mathrm{~kg}$ and $m_{2}=0.08 \mathrm{~kg}$ are sitting on a frictionless table connected by a 1 point thin, light string of length $0.40 \mathrm{~m}$. They are made to spin about a common point on the string such that a complete rotation takes $1.5 \mathrm{~s}$. 17. 8b. What is the angular velocity $\omega_{1}$ and $\omega_{2}$ of each mass? Please give your answer in $\mathrm{Hz}$. 1 point $\omega_{1}:$ Enter answer here 18. $8 \mathbf{c} . \omega_{2}$ : 1 point Enter answer here 19. 8d. What are the tangential velocity $v_{1}$ and $v_{2}$ of each mass? The centripetal acceleration $a_{1}$ and $a_{2}$ ? Please give 1 point your answer in $\mathrm{m} / \mathrm{s}$ for the velocity and $\mathrm{m} / \mathrm{s}^{2}$ for the acceleration. \[ v_{1} \text { : } \] Enter answer here

The acceleration due to gravity near the surface of Mars is $3.69 \mathrm{~m} / \mathrm{s}^{2}$. One morining, an astronaut tests her jetpack. Starting from rest, the jetpack accelerates her upward from the ground with a constant acceleration of $10 \mathrm{~m} / \mathrm{s}^{2}$, but after $4 \mathrm{~s}$, the jetpack shuts off. What is her speed right before she hits the ground? Please give your answer in $\mathrm{m} / \mathrm{s}$.

8. 3.3 Complicated Pulleys 3a A mass $M$ is suspended by the system of ideal strings and pulleys shown. The system is static. The string tension is labelled at several positions, but there are only two pieces of string. The long string is tied to the floor on the lower left. Enter expressions for all of the tensions below in terms of $M$ and $g$. \[ T_{1}= \] Preview will appear here... Enter math expression here 9. $3 \mathrm{~b} T_{2}=$ Preview will appear here... Enter math expression here 10. $3 \subset T_{3}=$ Preview will appear here... Enter math expression here 11. $3 \mathrm{~d} T_{4}=$ Preview will appear here... Enter math expression here 12. $3 \mathrm{e} T_{5}=$

7a You are on a fishing trip, not catching anyth $\mathrm{ng}$, and bored - time for physics! You drop your $50 \mathrm{~g}$ weight to the bottom of the lake under constant tension from the sthg of magnitude $0.1 \mathrm{~N}$. The damping constant for your falling weight is $2.5 \mathrm{~kg} / \mathrm{s}$. What is the terminal velocity of the weight? Glve your answer in $\mathrm{m} / \mathrm{s}$ and assume the positive direction is upwards. Enter answer here 22. 7b if it takes $500 \mathrm{~s}$ for the weight to reach the bottom of the lake, how deep is the lake? Give your answer in $\mathrm{m}$. 1 point Enter/answer here

7a You are on a fishing trip, not catching anything, and bored - time for physics! You drop your $50 \mathrm{~g}$ weight to the bottom of the lake under constant tension from the string of magnitude $0.1 \mathrm{~N}$. The damping constant for your falling weight is $2.5 \mathrm{~kg} / \mathrm{s}$. What is the terminal velocity of the weight? Give your answer in $\mathrm{m} / \mathrm{s}$ and assume the positive direction is upwards. $-0.639$ (X) Incorrect 7b If it takes $500 \mathrm{~s}$ for the weight to reach the bottom of the lake, how deep is the lake? Give your answer in $\mathrm{m}$. $-319.85$ Incorrect

pls Back Newton's Laws Homework Graded Quit *4h 1.78 16. $4 \mathrm{~d}$ How long does it take for the block to hit the floor from when it was released at the top of the inclined plane? Piease give your arswer in Enter answer here 0.53 5.19 17. 4.504 e mass to solve these questions? 2. No:

Problem 2. Average the tensor $n i n_{k}-\frac{1}{j} \delta_{i k}$ (where $\mathbf{n}$ is a unit vector along the radius vector of a particle) over a state where the magnitude but not the direction of the vector 1 is given (i.e. $l_{z}$ is indeterminate). For $l=1$ the angular-momentum components can be represented by the matrices \[ \hat{L}_{x}=\hbar\left(\begin{array}{ccc} 0 & \sqrt{\frac{1}{2}} & 0 \\ \sqrt{\frac{1}{2}} & 0 & \sqrt{\frac{1}{2}} \\ 0 & \sqrt{\frac{1}{2}} & 0 \end{array}\right), \quad \hat{L}_{y}=\hbar\left(\begin{array}{ccc} 0 & -i \sqrt{\frac{1}{2}} & 0 \\ i \sqrt{\frac{1}{2}} & 0 & -i \sqrt{\frac{1}{2}} \\ 0 & i \sqrt{\frac{1}{2}} & 0 \end{array}\right), \quad \hat{L}_{z}=\hbar\left(\begin{array}{ccc} 1 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & -1 \end{array}\right) \] (a) Confirm that these matrices fulfill the commutation relations of angular momentum (i) $\left[\hat{L}_{x}, \hat{L}_{y}\right]=i \hbar \hat{L}_{x}$ (ii) $\left[\hat{L}_{y}, \hat{L}_{z}\right]=i \hbar \hat{L}_{x},\left[\hat{L}_{x}, \hat{L}_{x}\right]=i \hbar \hat{L}_{y}$. (b) Calculate the matrix which represents the Hamiltonian \[ \hat{H}=\frac{1}{2 I} \hat{\mathbf{L}}^{2}+\alpha \hat{L}_{z} \] of a rotating molecule, where $I$ and $\alpha$ are constants and $\hat{L}^{2}=\hat{L}_{x}^{2}+\hat{L}_{y}^{2}+\hat{L}_{z}^{2}$. (c) Calculate the energy levels of the molecule.

1. 3.1 Chin Up 1a The figure below shows a person's speed as he/she does one full chin-up. The motion is vertical and the mass of the person is $59.2 \mathrm{~kg}$. What is the magnitude of the force exerted by the chin-up bar on the person at the following times. Give your answers in $N$. \[ t=0 \] Enter answer here Enter answer here $1 \mathrm{c} t=1.3$ Enter answer here \[ 1 d t=2 \] Enter answer here \[ 1 \mathrm{e} t=2.5 \]

A metal bar is in the xy-plane with one end of the bar at the origin. A force F⃗ =( 7.11 N )i^+( -2.57 N )j^ is applied to the bar at the point x = 3.33 m, y = 3.14 m Part A What is the position vector r⃗ for the point where the force is applied? Enter the x and y components of the radius vector separated by a comma. Part B What is the magnitude of the torque with respect to the origin produced by F⃗ ? Express your answer with the appropriate units.

1. Young's modulus is a physical quantity to describe the rigidity of a material. Which factor of the material is related to Young's modulus? Multiple-Choice (2 Points) A. Size and shape B. Processing and manufacturing methods C. External force D. Structure and chemical composition 2. When measuring the the length of metal wire, the length of optical lever arm, the distance between scale and flat mirror and the diameter of wire, the uncertainty of $0.5 \mathrm{~mm}$ is also produced. Which one has the greatest influence on the measurement result of Young's modulus? Multiple-Choice (3 Points) A. The diameter of metal wire B. The distance between ruler and flat mirror C. The length of optical lever arm D. The length of metal wire 3. Young's modulus is larger, which indicates that under the same force, the shape change of material is larger when the material is compressed or stretched. True/False (2 Points) A. False B. True 4. In the young's modulus experiment, because it can't guarantee that the tested material is perfectly elastic and has certain plasticity, the material will not recover completely in the process of loading and unloading, and the reading will be slightly different. Therefore, it is necessary to make the weight reduction measurement after the woight addition measurement. Truo/False (2 Points) A. False B. True 5. The magnification of optical lever is $2 \mathrm{D} / \mathrm{b}$. In the experiment, we can try to 0 to make $2 \mathrm{D} / \mathrm{b}$ larger. $D$ is the distance of the scale to the flat mirror. $b$ is the length of optical lever arm. Mulliple-Choice (3 Points) A. Increas ob appropriately B. Reduce $b$ at will C. Reduce b appropriately D. Increase D at will 6. If the diameter of the metal wire is doubled and the others remain unchanged, the elongation per $1 \mathrm{~kg}$ weight will be $1 / 4$ of the original. TruerFalse (2 Points) A. True B. False 7. In the experiment of measuring Young's modulus of metal wire, it is often necessary to preload $1 \mathrm{~kg}$ weight. What is its function? Multiple-Choice (2 Points) A. Eliminate friction B. Eliminate zero position error C. Straighten the matal wire D. No effect 8. Is the young's modulus of two steel wires with the same material and different diameter the same? Multiple-Choice (2 Points) A. The young's modulus of the motal wire with smaller diameter is larger. B. Uncertain C. Same D. The young's modulus of the motal wire with larger diameter is largec, 9. Is the following statement true or false? Measurement of length and diameter of the metal wire: we use the meter to measure the length and the spiral micrometer to measure the diamieter. The measurement results are written to $0.1 \mathrm{~mm}$ and $0.001 \mathrm{~mm}$. True/False (2 Points) A. True B. False

3. Consider the moving capacitor in problem 5.17 (Griffith's Introduction to Electrodynamics 4th edition): Problem 5.17: A large parallel-plate capacitor with uniform surface charge $\sigma$ on the upper plate and $-\sigma$ on the lower is moving with a constant speed $v$, as shown in Fig. 5.43. FIGURE 5.43 Let h be the height of this capacitor. a) What is the momentum that is stored (per unit area) between the plates? b) Suppose that the upper plate of the capacitor moves slowly towards the lower plate of the capacitor at some speed u. What is the magnetic force on the upper plate of the capacitor that is due to this movement? Compare this force to the change in the momentum stored in the electromagnetic field.

Problem 5.17 A large parallel-plate capacitor with uniform surface charge $\sigma$ on the upper plate and $-\sigma$ on the lower is moving with a constant speed $v$, as shown in Fig. 5.43. (a) Find the magnetic field between the plates and also above and below them. (b) Find the magnetic force per unit area on the upper plate, including its direction. (c) At what speed $v$ would the magnetic force halance the electrical force? 15