A metal having a cubic structure has a density of 1.892 g/cm³, an atomic weight of 132.91 g/mol, and a unit cell side length of 0.613 nm. Determine the crystal structure of the metal. Show all calculations for credit on this problem.

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A system is described by the action S[r, r'] = [ dt (x² + 4rª + mr³4), r(t) where m is a constant. Find the Euler-Lagrange equation for r = which extremises S. Interpret each of the terms that appear in the Euler- Lagrange equations in terms of Newton's second law. Find a conserved quantity for this system.

What is the separation between two slits for which 580 nm light has its first minimum at an angle of 28.4°?

6) Circle the atom which is the most likely site to which a Lewis base would be attracted. Explain your answer. || H-C-N-H H

The force of a spring obeys Hooke's law: F = -kx for some positive constant > 0, where x = x(t) measures the displacement from its rest position of a particle of mass m > 0 attached to the spring. i. Use Newton's Second Law to show that the equation of motion of the particle is +w²x=0. Determine w in terms of k and m. Find the solution to this equation if the particle is released at time t 0 from position x = 4 with = velocity 2w. ii. Show that = 1 w2 E = + 2 is a conserved quantity of the motion. What is the value of E for the above solution. What is the meaning of the two terms on the right hand side?

3 Charged Closed Wire Consider a thin closed wire with the radius R localized at the origin on the xy-plane, which is charged uniformly with the total charge Q. (i) What is the charge density p in this problem? (ii) Calculate the electric field along the z axis? (Hint: First, consider an infinitessimal piece of the charge.)

C-Spec, Inc., is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 2 + 0.07 inches. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 2.001 inches with a standard deviation of 0.030 inch. Calculate the Cpk for this machine. (Round your answer to 3 decimal places.) Cpk

2) AMT, Inc., is considering the purchase of a digital camera for maintenance of design specifications by feeding digital pictures directly into an engineering workstation where computer-aided design files can be superimposed over the digital pictures. Differences between the two images can be noted, and corrections, as appropriate, can then be made by design engineers. a) You have been asked by management to determine the PW of the EVA of this equipment, assuming the following estimates: capital investment = $345,000; market value at end of year six = $120,000; annual revenues = $120,000; annual expenses $8,000; equipment life 6 years; effective income tax rate 50%; and after-tax MARR = 10% per year. MACRS depreciation will be used with a five-year recovery period. b) Compute the PW of the equipment's ATCFS. Is your answer in Part (a) the same as your answer in Part (b)? 1

AMT, Inc., is considering the purchase of a digital camera for maintenance of design specifications by feeding digital pictures directly into an engineering workstation where computer-aided design files can be superimposed over the digital pictures. Differences between the two images can be noted, and corrections, as appropriate, can then be made by design engineers. Solve, a. You have been asked by management to determine the PW of the EVA of this equipment, assuming the following estimates: capital investment = $345,000; market value at end of year six = $120,000; annual revenues = $120,000; annual expenses = $8,000; equipment life = 6 years; effective income tax rate = 50%; and after-tax MARR = 10% per year. MACRS depreciation will be used with a five-year recovery period. b. Compute the PW of the equipment’s ATCFs. Is youranswer in Part (a) the same as your answer in Part (b)?