A simple harmonic oscillator consists of a block of mass 3.4 kg attached to a spring of spring constant 120 N/m. When t = 0.84 s, the position and velocity of the block are x = 0.127 m and v = 3.23 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?

1-What is the expression for the thin lens equation? Define all the terms in the expression.

2-Describe the three properties that determine the focal length of a lens.

3-Define the following:
i. Converging lens______

ii. Diverging lens_______

iii. Focal length___________

iv. Focalpoint____________

v. Object distance_______

vi. Imagedistance___

vii. Real image___

viii. Virtual image

Neutron stars consist only of neutrons and have unbelievably high densities. A typical mass and radius for a neutron star might be 3.7 x 1028 kg and 1.3 x 103 m. (a) Find the density of such a star. (b) If a dime (V = 2.0 x 10-7 m3) were made from this material, how much would it weight (in pounds)?

A charge of -2.410 μC μ C is located at (2.980 m m , 4.714 m m ), and a charge of 1.615 μC μ C is located at (-2.703 m m , 0).

Part A: Find the electric potential at the origin. V=?

Part B: There is one point on the line connecting these two charges where the potential is zero. Find this point. x,y=?

1. Lead oxide may be reduced according to the following: PbO2(s) + 4H+ + 2e- = 2H2O + Pb2+ Eo = 1.55 V After a solution of PbO2 is aerated (pO2 = 0.21 atm, pe = 20.75) for a period of time it is observed that Pb2+ = 10-4 mole/L. What is the pH of the solution? Note: pe = Eo / 0.059. (5 points)

Given a graph G = (V,E), the source-sink pair (s,t) and capacity of edges {C_e ≥ 0 | e ∈ E}, design a polynomial-time algorithm to find a set of edges S, such that for every edge e ∈ S, increasing C_e will lead to an increase of max-flow value between s and t. Show the correctness of your algorithm.

3. A single phase motor load draws 5.5 A of current at a 0.83 power factor lagging from a 50 Hz 240 V source. A capacitor is connected in parallel to the motor to improve the power factor.

(a)If the power factor is improved to unity, find the value of capacitance of the capacitor.

(b)If the power factor improves to 0.96, find the value of capacitance of the capacitor.

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Determine the temperature, quality (X), specific volume, and internal energy of water at a state of P = 0.6 MPa and the enthalpy may be one of the followings; 1. h = 2930 kJ/kg. 2. h = 1700 kJ/kg 3. h = 600 kJ/kg Plot your results on T-v diagram for each case. Use thermodynamics' tables.

PART 1- Identifications. Briefly identify 8 of the following items. Your answers should be no more than 1 or 2 sentences. (2 points each)

Charles V

Martin Luther

James Cook

Nicolaus Copernicus

Council of Trent

Treaty of Tordesillas

absolutism

Montezuma

Tenochtitlan

treasure fleet

Nzinga of Ndongo

Songhay

Phillis Wheatley

Middle Passage

Reading a contract and knowing what the contents reveal is very important. In this case, was there unclarity or ambiguity by the unit owners in describing their duties to the other parties as third-parties? It is feasible to think that Koraev simply did not pay attention to the document when reading? Explain your answer. Critically thinking cases ALLAN v. Nersesova. Need a goos long answers