A particle initially located at the origin has an acceleration of a = 3.00j m/s² and an initial velocity of v, = 5.00i m/s. Find (a) the vector position of the particle at any time 1, (b) the velocity of the particle at any time 1, (c) the coordi- nates of the particle at 1 = 2.00 s, and (d) the speed of the particle at 1 = 2.00 s.

1. Pressure and bulk modules of an electron gas. (a) Derive a relation connecting the 3 pressure and volume of an electron gas at OK. Hint: Use the result of U == the relation between & and electron concentration. The result may be written as 200 3V 5p B = = p= 10U 3 9V of the electron gas contribution to B. NE N&F and . др (b) Show that the bulk modules B = -V. of an electron gas at OK is av . 5 (c) Estimate for potassium, using Table 1 of the textbook, the value

Question A5 a) Calculate the average number of phonons occupying a vibrational mode with angular fre- quency w = 4.0 × 10 12 s−1 at T = 300 K. b) Calculate the total energy of the mode at this temperature, expressing your answer in meV.

The overlap integral, S, between atomic orbitals on different atoms is sometimes approximately equal to 0. True False

What are (a) the x component, (b) the y component, and (c) the z component of ?→=?→−?→+?→�→=�→-�→+�→ if ?→=7.1?̂ +5.0?̂−2.1?̂�→=7.1�̂+5.0�̂-2.1�̂ , ?→=−8.9?̂ +8.6?̂+2.8?̂�→=-8.9�̂+8.6�̂+2.8�̂ , and ?→=1.1?̂ +4.1?̂+2.5?̂�→=1.1�̂+4.1�̂+2.5�̂ . (d) Calculate the angle between ?→�→ and the positive z axis. (e) What is the component of ?→�→ along the direction of ?→�→ ? (f) What is the magnitude of the component of ?→�→ perpendicular to the direction of ?→�→ but in the plane of ?→�→ and ?→�→ ?

Why does this part not require a Sin(30) to decompose the MG(Sin(30))(.8)? The example gives a correct answer.

Is this the correct way to solve for W(ca)

What fraction of the total volume of an iceberg is exposed above the surface of the ocean? DATA for the densities of sea ice and water: Use these values to 4 significant figures: 919.0 kg/m^3 and 1033 kg/m^3 A: 0.0469 OB: 0.0530 OC: 0.0599 OD: 0.0677 OE: 0.0765 OF: 0.0864 OG: 0.0977 OH: 0.1104

However, the molecule we can encounter everyday continuously vibrates and interact with the surrounding causing its bond vector to vary slightly. According to a new spectroscopy analysis, the adjacent bond vectors was found to be A = 0.82i + 0.99j + 0.84k B = 1.09i + -1.01j + -0.97k What is the angle (in degrees) between the bonds based on this new data?

2. An isolated system consists of three identical, distinguishable atoms. Each atom can have energy 0, ε, 2ε. What are the statistical weights of the macrostates which have total energy of 0, ε and 2ε respectively?