Consider a finite square well, with V = 1.2 eV outside. It holds several energy states, but we are only interested in two:
1) For E = 1.15 eV, what is the decay constant, κ, outside the well in nm-1(i.e., where V = 1.2 eV)?
κ =
2) For E = 1.1 eV, what is the decay constant, κ, outside the well in nm-1 (i.e.,) where V = 1.2 eV)?
κ =
3) For E = 1.15 eV, suppose the probability density at some position,x, outside the well is P(x) and the probability density 1 nm farther from the well is P(x+1 nm). What is the ratio, P(x+1 nm)/P(x), of these two probailities?
Ratio =
4) For E = 1.1 eV, suppose the probability density at some position,x, outside the well is P(x) and the probability density 1 nm farther from the well is P(x+1 nm). What is the ratio, P(x+1 nm)/P(x), of these two probailities?
Ratio =
5) If we squeeze the well (decrease L), the energies of the states will increase. What is the limiting value κlimit of an energy state's κ as its energy approaches the top of the well in nm-1(i.e., as E → 1.2 eV).
κlimit =
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A roller coaster reaches the top of the steepest hill with a speed of 6.8 km/h . It then descends the hill, which is at an average angle of 35 ∘ and is 45.0 m long.
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Question 2: You want to determine if there are any Kuiper Belt objects larger than Eris.
Part a: Describe the observational methods and analysis you would apply to search for them.
Part b: How might you determine if any candidate objects are larger than Eris? What observational data do you need for an object to estimate its radius?
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A wheeled cart (frictionless), a solid cylinder of radius r, a solid sphere of radius r, and a hollow cylinder of radius r are all allowed to roll down an incline. Derive a general relationship for the linear acceleration of each object depending on the angle of the ramp and the rotational inertia. You may assume that the frictional force is small enough that it is only causing rotation in each case.
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A projectile is shot from the edge of a cliff 115 mm above ground level with an initial speed of v0v0 = 65 m/sm/s at an angle of 35.0∘∘ with the horizontal, as shown in the figure (Figure 1). Figure1 of 1 |
Part A Determine the time taken by the projectile to hit point PP at ground level. Express your answer to three significant figures and include the appropriate units.
SubmitRequest Answer Part B Determine the distance XX of point PP from the base of the vertical cliff. Express your answer to three significant figures and include the appropriate units.
SubmitRequest Answer Part C At the instant just before the projectile hits point PP, find the horizontal and the vertical components of its velocity. Express your answers using three significant figures separated by a comma.
SubmitRequest Answer Part D At the instant just before the projectile hits point PP, find the magnitude of the velocity. Express your answer to three significant figures and include the appropriate units.
SubmitRequest Answer Part E At the instant just before the projectile hits point PP, find the angle made by the velocity vector with the horizontal. Express your answer to three significant figures and include the appropriate units.
SubmitRequest Answer Part F Find the maximum height above the cliff top reached by the projectile. |
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Resistors connected in series generally always
select all that apply
| 1 |
dissipate more power than when hooked up in parallel |
| 2 |
offer the biggest effective resistance compared to any other way of connecting them |
| 3 |
dissipate the same amount of power each |
| 4 |
have the same voltage across them |
| 5 |
have the same current through them |
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Sketch and describe how a Pole Figure is constructed. Which reference frames are related in a Pole Figure
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Question 4: Alpha Centauri is a binary star system (the two individual stars are called Alpha Centauri A and B) that is part of a triple star system (the third star is Proxima Centauri). This is the closest star system to the Sun. Alpha Centauri A and B are so close that if they are viewed with the naked eye they are seen as one star from the Earth. The absolute magnitude of Alpha Centauri A is 4.4, while the absolute magnitude of Alpha Centauri B is 5.7. The distance to Alpha Centauri is 1.35 pc.
a) Calculate the apparent magnitude of both Alpha Centauri A and B.
b) Calculate the apparent magnitude of Alpha Centauri, when seen as one object.
c) If Alpha Centauri A is able to fully eclipse Alpha Centauri B, how much does the radiant flux change when this happen, compared to when both stars are not eclipsing each other?
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Choose one type of electromagnetic radiations, specify the range of wavelengths for this type and give one application in our everyday lives and explain it (Minimum five lines) ؟
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Classical Mechanics problem:
Derive the expression for the total energy E(t) of an underdamped oscillator as a function of time.
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The figure represents an insect caught at the midpoint of a spider-web thread. The thread breaks under a stress of 9.2 × 108 N/m2 and a strain of 2.00. Initially, it was horizontal and had a length of 3.5 cm and a cross-sectional area of 9.5 × 10-12 m2. As the thread was stretched under the weight of the insect, its volume remained constant. If the weight of the insect puts the thread on the verge of breaking, what is the insect's mass? (A spider's web is built to break if a potentially harmful insect, such as a bumble bee, becomes snared in the web.)
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can someone explain how weight training can be modeled in a graph?,
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An elevator (1500 kg mass, with passengers) is attached to a 1000 kg counterweight by a cable that is wrapped over a pulley. It is also attached (by a second cable) to a motor. The elevator is moving down at a constant speed of 5 m/s.
a) Determine the force that the motor must apply to the second cable.
b) Determine the force that the motor must exert to lower the elevator with a constant downward acceleration of 1 m/s^2.
c) Determine the Force that the motor must exert to lower the elvator with a constant upward acceleration of 1 m/s^2.
d) Draw a graph of the acceleration of the elevator as a function of the force exerted by the motor. Fill in imoprtant numbers on each axis.
I know this is alot, but thank you!
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