A factory machine with a mass of 320 kg vibrations up and down with frequency of 8 Hz. Amplitude of engine movement of 2 mm. Calculate the energy of the machine if the machine moves vertically by 0.3 mm!
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A factory machine with a mass of 320 kg vibrations up and down with
frequency of 8 Hz. Amplitude of engine movement of 2 mm. Calculate the energy of the machine if the machine moves vertically by 0.3 mm!
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- -267J 14. A pendulum is released from a certain height. At the lowest point in its swing, the speed of the mass is 4.5 m/s. Calculate the vertical distance from which the pendulum was released. Ignore air resistance. 2.QUESTION 4 Q 4(a) The force, F, required to compress a spring is given by F = 1000x + 50x³, where x is displacement from its unstretched length. The work done, W, to compress a spring by 0.3m is given by 0³ F dx. Determine W, giving your answer correct to 2 significant figures. Q 4(b) The velocity, v, of a piston moving with simple harmonic motion at time, t, is given by v = 20sin (3t) Find in terms of TT, the mean velocity between t = 0 and t = =F Q 4(c) Sketch the region bounded by the curve f(x) = and the line g(x) = 3 - x, for 0 ≤ x ≤ 3. Use integration, determine the area enclosed by the curves, giving your answer correct to 4 decimal places.A box with mass of 150 kg is released from point A, 43 meters above the ground. The box slides without friction and then collides with a massless spring that is initially uncompressed. a) What is the total energy of the system? b) What is the speed of the box right before colliding with the spring? After colliding with the spring, the box gets stuck to the spring and starts oscillating back and forth. c) If the spring constant is 300 N/m, what is the amplitude of oscillation for the box-spring system? d) When the spring is compressed by Δs = 1.5 m, find the speed of the box. e) Find the maximum acceleration experienced by the box. f) What is the period of oscillation?
- wwwwww Xmin .xmax 9 A block connected on a spring oscillates back and forth on a frictionless horizontal surface reaching the minimum and maximum distances min and max, respectively. Which of the following graphs best represent the kinetic energy of the block as a function of the length x? JUJALA ILI X Xmax (A) min Xmax (B) Xmin Xmax Xmax (C) Xmin (D) Xmin B OC OA OD(8c7p50) A 0.45 kg mass sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (with k = 725 N/m) whose other end is fixed. The mass has a kinetic energy of 12.0 J as it passes through its equilibrium position (the point at which the spring force is zero). At what rate is the spring doing work on the mass as the mass passes through its equilibrium position? Submit Answer Tries 0/5 At what rate is the spring doing work on the mass when the spring is compressed 0.091 m and the mass is moving away from the equilibrium position? Submit Answer Tries 0/5 This discUSsion is closod Send Feedbacavdcceieration using an inclined plan Eplaeee 8) During vibrating spring experiment data table is given. Plot Force (y-axis) vs change in L(x-axis) and determine the slope Trial 1 Change in L in meters 0.50 0.80 1.40 1.90 Force (N) 1.5 3.0 4.5 6.0 4 t untor mins 20 of enerax and aluminum can gains 10 J energy. What is the
- A protein dimer can be viewed as a dumbbell linked by a spring. Stretching of the spring with an AFM cantilever adds the total (internal) energy of 10−17 J to the dimer. What is the average kinetic energy of dumbbell oscillations after the external force has been released? Help meA block attached to a horizontal spring that has a spring constant of 18 N/m oscillates between x = - 0.68 m and x = 0.68 m on a frictionless surface as shown. What is the kinetic energy of the block when its position is at x = 0, in Joules?In regards to springs and different masses; At what point is the potential energy of the system maximum? At what point is the kinetic energy of the system maximum?
- A pendulum of mass 90 gm and length 60 cm is left to swing from an initial angle of 40 degrees, and seen to raise up to an angle of 38 degrees when it reaches the other side. How much energy did the pendulum lose? Why is there a loss of energy?7. A block of mass m slides with constant velocity v down a plane inclined at 0 with the horizontal. During the time interval At, what is the magnitude of the energy dissipated by friction? (a) mgv At tan 0 (b) mgv At sin 0 (c) 1/2 mv3 At (d) The answer cannot be determined without knowing the coefficient of kinetic friction.Determine the percent increase in the potential energy of the spring if it is stretched from 4.00 cm to 8.00 cm?