A box of mass 95.000 kg is attached to a spring with spring constant 720.000 N/m....
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A box of mass 95.000 kg is attached to a spring with spring constant 720.000 N/m. There is negligible friction. As the box oscillates around its equilibrium position a stop watch is started at an end point on the right (establishing t = 0). At this instant, t = 0, the following is true: The position is 0.835 meters to the right of equilibrium; as shown in the diagram below: sooooo 0.835 m Equilibrium, x = 0 N 0. Determine the equations of motion: x(t) = v(t) = ---; a(t) = Be sure the results below make sense (plug in test values to be sure.) 1. What is the position at t = 3.000 seconds? ({Use + or -for right or left of equilibrium.} 2. What is its velocity (speed and direction of motion) at 3.000 s? +x 3. What acceleration does it have at t = 3.000 sec? 4. What force does it have at t = 3.000 s? 5. a. What is the total energy in this system? b. What is the KE at 3.000 seconds? c. What is the PE at 3.000 seconds? 6. a. When will it first (t > 0) be at x = +0.500 m. b. When will it first (t> 0) be at x = -0.500 m. nb., be mindful of minus signs! A box of mass 95.000 kg is attached to a spring with spring constant 720.000 N/m. There is negligible friction. As the box oscillates around its equilibrium position a stop watch is started at an end point on the right (establishing t = 0). At this instant, t = 0, the following is true: The position is 0.835 meters to the right of equilibrium; as shown in the diagram below: sooooo 0.835 m Equilibrium, x = 0 N 0. Determine the equations of motion: x(t) = v(t) = ---; a(t) = Be sure the results below make sense (plug in test values to be sure.) 1. What is the position at t = 3.000 seconds? ({Use + or -for right or left of equilibrium.} 2. What is its velocity (speed and direction of motion) at 3.000 s? +x 3. What acceleration does it have at t = 3.000 sec? 4. What force does it have at t = 3.000 s? 5. a. What is the total energy in this system? b. What is the KE at 3.000 seconds? c. What is the PE at 3.000 seconds? 6. a. When will it first (t > 0) be at x = +0.500 m. b. When will it first (t> 0) be at x = -0.500 m. nb., be mindful of minus signs!
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