I need do fast typing clear urjent no chatgpt used i will give 5 upvotes pls full explain with diagram The rate of net energy transfer by heat (Qin - Qout) and by work (Win - Wout) to a control volumeare 35 W and 60 W, respectively. If mass enters the system through a pipe with an area of 1.25×10-m² at a velocity of 12 m/s and leaves the system at the same rate with a velocity of 4 m/s, determinethe rate of change in the total energy of the system. Assume no change in pressure and potentialenergy in the fluid. (The density of the fluid is 1000 kg/m³).MassinControlvolumeėMassout

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Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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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?
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A particle moves along line segments from the origin to the points (2, 0, 0), (2, 5, 1), (0, 5, 1), and back to the origin under the influence of the force field F(x, y, z) = z2i+ 3xyj + 3y2k. Use Stokes' Theorem to find the work done.
C (Ib/gal) - 5.8. A mixing process may be described as follows: A stream with solute concentration Ci (pounds/volume) is fed to a perfectly stirred tank at a constant flow rate of q (volume/time). The perfectly mixed product is withdrawn from the tank, also at the flow rate q at the same concentration as the material in the tank Co. The total volume of solution in the tank is constant at V. Density may be considered to be inde- 2.1 2.0 1.9 1.8 1.7 W FIGURE P5-8 10 6:30 A.M. Time 6:52 A.M. pendent of concentration. A trace of the tank concentration versus time appears as shown in Fig. P5-8. (a) Plot on this same figure your best guess of the quantitative behavior of the inlet concentration versus time. Be sure to label the graph with quantitative infor- mation regarding times and magnitudes and any other data that will demonstrate your understanding of the situation. (b) Write an equation for C; as a function of time. Data: tank dimensions: 8 ft high by 5-ft diameter Tank volume V: 700…
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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.
02 (20 Marks): Use the Problem Table Method to calculate the Pinch Temperatures a values of QHmin and Qcmin and maximum energy recovery (MER) from the data below. Stream Stream Supply number type Target Temperature Temperature Heat Duty MW C °C 1 Hot 150 30 7.2 2 Hot 40 40 10 3 Hot 130 100 3 45 Cold 150 150 10 Cold 50 140 3.6 5 ATmin = 10°C
Suppose there is now friction and the equation of motion becomes x+2yx+w²x = 0, where 0 is some constant of friction. γ i. Find the general solution for x(t), under the assumption that w. You do not need to impose initial conditions here. ii. What is the range of for which the above solution is (1) heavily damped; (2) lightly damped. What happens to the above solution and the physical system when y = w?
In the diagram shown below, the four currents are assumed to be held in place at their current locations. The currents have the following values: IA = 3.000 A, IB = 3.000 A, Ic 1.000 A and ID 2.000 A. Let d = 12.500 cm and assume standard x- and y-axes at point P1. (Be careful about signs!) AO 3d The magnitude of the total magnetic field at point P1, in μT and to three decimal places, is d P1
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