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**Q1:**3/263 The 3000-kg anvil A of the drop forge is mounted on a nest of heavy coil springs having a combined stiffness of 2.8(10º) N/m. The 600-kg hammer B falls 500 mm from rest and strikes the anvil,which suffers a maximum downward deflection of24 mm from its equilibrium position. Determine the height h of rebound of the hammer and the coefficient of restitution e which applies. See Answer**Q2:**5/69 The two pulleys are riveted together to form a single rigid unit, and each of the two cables is securely wrapped around its respective pulley. If point A on the hoisting cable has a velocity v = 3 ft/sec,determine the magnitudes of the velocity of point Ond the velocity of point B on the larger pulley for the position shown.See Answer**Q3:**/61 The cart has a velocity of 4 ft/sec to the right. Deter-mine the angular speed N of the wheel so that point A on the top of the rim has a velocity (a) equal to4 ft/sec to the left, (b) equal to zero, and (c) equal to8 ft/sec to the right. See Answer**Q4:**5/60 The uniform rectangular plate moves on the horizontal surface. Its mass center has a velocity ve =3 m/s directed parallel to the x-axis and the plate has a counterclockwise (as seen from above) angular velocity w = 4 rad/s. Determine the velocities of points A and B. See Answer**Q5:**Consider the arrangement shown in Figure 1. The elements P1, P2, P3 andPa are located at coordinates (x, y, z): P1 : (0,0,0); P2 : (a, 2/3a, 0); Р3: (2а, 0,0); P1: (а, — 2а,0) Suppose that P1, P2, P3 and P4 are point charges of charge q1 = q,92 = q, 93 = -q and q4 = -q. Find the expression for the x andy components of the electric field E at the coordinate of PA. Hence,calculate the magnitude and the angle of the electric field E at the coordinate of P4 considering a = 1 m and q == 10-9 C.[25] Suppose that P1, P2, P3 and P4 are infinite charged lines extending into the z direction and of charge density ơ1 = sigma, sigma2 = 0, sigma3 = -sigma and sigma4 = -sigma. Find the expression for the x and y components of the electric field at the coordinate of P4. Hence, calculate the magnitude and the angle of the electric field E at the coordinate of P, considering[25]a = 1m and o =10-9 C/m. Suppose that P, P2, P3 and P4 are infinite current-carrying wires extending into the z direction, and carrying currents I = I, I2 = I,I3 = -I and I4 = -I. Positive currents flows along the z direction whereas negative currents are anti parallel to z. Find the expression for the x and y components of the magnetic field B at the coordinate of P4. Hence, calculate the value of the magnitude and the angle of the magnetic field B at the coordinate of P4 considering a = 1 m andI = 1 A.[25] Suppose that P1, P2, P3 and P4 are infinite current-carrying wires extending into the z direction, and carrying currents I = I, I2 = I,I3 = -I and Whereas negative currents are anti parallel to z. Find the expression for the x and y components of the force per unit length f that P1,P2, P3 and Pa excerpt on P4. Hence, calculate the magnitude and the angle of f considering a = 1 m and I = 1 A.= -I. Positive currents flows along the z directionSee Answer**Q6:**23What is the drift speed of the conduction electrons in a copper wire with radius r =900 mm when it has a uniform current / = 17mA? Assume that each copper atom contributes one conduction electron to the current and that the current density is uniform across the wire's cross section. The number of electrons per unit volume, n =8.49 x 1028 m-3 \text { a. } 3.0 \times 10^{-7} \mathrm{~m} / \mathrm{s} \text { b. } 5.0 \times 10^{-6} \mathrm{~m} / \mathrm{s} \text { c. } 4.9 \times 10^{-7} \mathrm{~m} / \mathrm{s} \text { d. } 6.0 \times 10^{-9} \mathrm{~m} / \mathrm{s} \text { e. } 3.5 \times 10^{-8} \mathrm{~m} / \mathrm{s}See Answer**Q7:**/71 Determine the angular velocity of bar AB just after roller B has begun moving up the 15° incline. At the instant under consideration, the velocity of roller A is VA- See Answer**Q8:**The deepest point of the ocean is in the Mariana Trench, 11 km deep, in the Pacific. The pressure at this depth is 1.13x108 N/m². A. Calculate the change in volume of 1.00 m3 of seawater carried from the surface to this deepest point. B. The density of seawater at the surface is 1.03x103 kg/m3. Find its density at the bottom.See Answer**Q9:**A light spring of constant A = 90.0 N/n is attached vertically to a table (Fig. P15.55a). A2.00-g balloon is filled with helium (density = 0.180 kg/m)to a volume of 5.00 m and is then connected to the spring.causing it to stretch as shown in Figure P15.55b. Determine the extension distance L when the balloon is in equilibrium. See Answer**Q10:**A solid ball of radius R is composed of a dielectric insulator of permittivity ɛ. The outside surface of the ball carries a static surface charge of(theta). (a) Determine the boundary conditions satisfied by the potential V(r) (i) at the center of the ball, (ii) at the surface of the ball, and (iii) at infinity. (b) Find the voltage V (r) both inside and outside the ball,expressed as an infinite sum with coefficients depending on integrals of of(theta). (c) Suppose that the static charge is concentrated in a ring at polar angle theta = theta0, with total charge qf in the ring. Find the electric field at the center of the ball in terms of qf, theta0 Re and e0 and e- infinity limits (d) Locate the center of charge in the situation described-in part (c) and verify your answer behaves as expected in the e → €, and ɛ → ∞ limits.See Answer**Q11:**An electromagnetic wave propagating in free space has an electric fieldamplitude of A-2 V/m. Calculate the magnetic field amplitude, the energy density of both theelectric and the magnetic field, and the total energy density of the wave.See Answer**Q12:**One end of a light spring with force constant k 100 N/m is attached to a venical wall. A light string is tied to the other end of thew-RMhorizontal spring. As shown in Figure P12.57, the string changes from n horizontal to venical as it passes over a pulley of mass M in the shape of a solid disk of radius R= 2.00 cm. The pulley is free to turn on a fixed, smooth axle. The vertical section of the suing supports an object of mass m = 200 g. The string does not slip at its contaCi with the pulley. The object is pulled down-ward a small distance and released. (a) What is the angular frequency a of oscillation of the object in terms of the mass M: (b) What is the highest possible value of the angular frequency of oscillation of the object? (c) What is the highest possible value of the angular frequency of oscillation of the object if the pulley radius is doubled to R 4.00 cm?Figure P12.57 See Answer**Q13:**What is the polarization? What is the intensity of this electromagnetic wave?See Answer**Q14:**Calculate the location of the center of mass for the compound object shown below. A. Find the x component of the center of mass. Give your answer in meters. B. Find the y component of the center of mass. Give your answer in meters. See Answer**Q15:**There are 3 balls on a horizontal, smooth surface. A 5 kg ball comes from the left with a speedof 4 m/s. It has an elastic collision with an 8 kg ball which is at rest. The 8 kg ball then has anelastic collision with an 11 kg ball which is at rest. A. Calculate the velocity of the 5 kg ball after it collides with the 8 kg ball. Give your answer inm/s. B. Calculate the velocity of the 8 kg ball after the 5 kg ball collides with it. Give your answer inm/s. C. Calculate the velocity of the 8 kg ball after it collides with the 11 kg ball. Give your answer in m/s. D. Calculate the velocity of the 11 kg ball after the 8 kg ball collides with it. Give your answer in m/s. See Answer**Q16:**13.-(5 Points) A 500 g mass swings on a 60-cm-string as a pendulum. The amplitudes observed to decay to half its initial value after 35 oscillations. a) What is the time constant for the oscillator? b) At what time will the energy have decayed to half its initial value?See Answer**Q17:**An electromagnetic wave propagating in free space has an electric fieldamplitude of A:2 V/m. (a)Calculate the electric field between the plates and the magnitude anddirection of the electric force FE exerted on each of the test chargesdue to that electric field.[8 Marks] (b)Calculate the magnitude and direction of the magnetic fieldsurrounding the wire at a distance r = 5cm from the wire. State the magnitude and direction of the magnetic force FM exertedon each of the test charges due to that magnetic field. (c)Combine the electric and magnetic forces to find the magnitude anddirection of the total force on each of the test charges.See Answer**Q18:**11.-(10 Points) Astronomers discover a binary system with a period of 90 days. Both stars have a mass twice that of the Sun. How far apart are the two stars? See Answer

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