Draw a free body diagram for a satellite in an elliptical orbit showing why its speed increases as it approaches its parent body and decreases as it moves away

You are an industrial engineer with a shipping company. As part of the package-handling system, a small box with mass 1.70 kg is placed against a light spring that is compressed 0.280 m. The spring has force constant 41.0 N/m . The spring and box are released from rest, and the box travels along a horizontal surface for which the coefficient of kinetic friction with the box is μk = 0.300. When the box has traveled 0.280 m and the spring has reached its equilibrium length, the box loses contact with the spring.

1-What is the speed of the box at the instant when it leaves the spring?

Express your answer with the appropriate units.

2-What is the maximum speed of the box during its motion?

Express your answer with the appropriate units.

Driving in your car with a constant speed of 12 m/s, you encounter a bump in the road that has a circular cross section, as indicated in the figure. If the radius of curvature of the bump is r = 31 m, find the apparent weight of a 54-kg person in your car as you pass over the top of the bump. N

In an XRD pattern using Cu Kα radiation, a certain cubic crystal shows peaks at 2θ values (in degrees) of 44.3, 64.4, 81.6, 98.0. It is known that the size of the cubic crystal is greater than 2.5 Angstroms. Based on this information and the location of the peaks, we conclude that the lattice of the crystal is

1. simple cubic                        2. face centered cubic

3.     body centered cubic        4.    none of the other choices

Find the energy spectrum of a particle in the infinite square well, with potential U(x) → ∞ for |x| > L and U(x) = αδ(x) for |x| < L. Demonstrate that in the limit α ≫ hbar^2/mL, the low energy part of the spectrum consists of a set of closely-positioned pairs of energy levels for α > 0. What is the structure of energy spectrum for α < 0?

Answer True or False for each question. For the three questions indicated also provide a full explanation; this is likely to take at least two sentences.

1) Production of particle-antiparticle pairs ended because gamma ray energy decreased as the U expanded.

2) At the beginning, all the energy in the universe was in the form of neutrinos.

3) By t = 15 min, the Universe had cooled enough that nucleosynthesis ended.

4) In the Bottom-up scenario with Cold Dark Matter, small structures like dwarf galaxies form first.

5) It will be possible to measure all properties of a particle with perfect accuracy if our technology increases.

6) By t = 1 sec, the U contained about 25 % He nuclei and the rest H nuclei . Explain.

7) In quantum physics, Heisenberg's uncertainty principle says that matter and antimatter can appear spontaneously in empty space. Explain.

8) Our U contains mass because for every 10⁹ matter particles it created it also created 10⁹+ 1 antimatter particles. Explain.

Explain the process of binning as it relates to use of a CCD detector. What are the possible advantages and disadvantages of using binning? Include a useful diagram.

A 0.870 m long brass pendulum experiences a 21.0°C temperature increase. (a) Calculate the original period (in s). s (b) What is the change (in s) in the period? s (c) Find the ratio (in h) of the change in period to the original period, and calculate how long a clock run by this pendulum would take to fall 1.00 s behind the correc

1) A rock with a mass of 550 g in air is found to have an apparent mass of 327 g when submerged in water.

a) What mass, in grams, of water is displaced?

b) What is the volume, in cubic centimeters, of the rock?

c) What is the average density of the rock, in grams per cubic centimeter?

2) Suppose 1.95 L of gas at 37°C is under 7.37 × 107 Pa of pressure. How many moles of gas are there in the system?

3)Suppose a woman does 350 J of work and 9400 J of heat is transferred from her into the environment in the process.

a) What is the change in her internal energy, in joules, assuming she does not consume any food?

b) What is her percent efficiency?

You are planning to create an ohmic contact for your new semiconductor device. Unfortunately, in your first attempt the contact shows a diode-like current-voltage characteristic, which indicates that the electrons must overcome a barrier.

(a) Show, using the WKB approximation for a parabolic barrier, that at a doping density of ?? = 1 ⋅ 1016cm-3 the tunneling coefficient T is so small that no carriers are crossing the barrier via the tunnel effect.

(b) To what level do you need to raise the doping concentration so that your barrier thickness will be reduced to 3 nm? What is the Tunneling coefficient for this doping concentration? Hint: The material that was used is Silicon4 (Si) with an effective electron transport mass of m* = 0.26 me and a dielectric constant of ε = 12. The barrier height of the contact is given by ΦSB = 0.6 eV. The problem has been simplified as to not use barrier lowering and doping dependence of the Fermi level in the semiconductor.

8 mins persuasive speech on SELF-DRIVING CARS SHOULD BE ILLEGAL!

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