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3 Spring Dynamics Click the following link. Select Energy vs Position http:l/physics.bu.edu/~duffy/HTMLSlmass on spring energy.html E (J) Energy vs. time 2.0 1.5 1.0 0.5 0.0
3 Spring Dynamics Click the following link. Select Energy vs Position http:l/physics.bu.edu/~duffy/HTMLSlmass on spring energy.html E (J) Energy vs. time 2.0 1.5 1.0 0.5 0.0 t(s) 0 4 81216202428323640 MW [:0005 2-1 XO Xl Set the spring constant to 2.0 N/m and mass of the hall 2.0 kg. Note the ball oscillates between -1m and 1m. Play the simulation: 16. Which form of energy does the blue curve represent? 17. Which form of energy does the red curve represent? 18. Which form of energy does the green curve represent? 19. At which position(s) is the kinetic energy equal to zero? 20. At which position(s) is the potential energy equal zero? 21. At which position(s) the kinetic energy equal to the potential energy? 22. What is the numerical value of the total energy? (J) The time it takes for the ball to start and go back to its initial position is called the period of oscillation of the spring. 23. Estimate the period (5) Click reset and change the spring constant to 3.5 N/m 24. What is the value of the total energy? 25. How does the maximum value of the kinetic energy compare to the previous case? 26. Estimate the period (s) 27. For a fixed spring constant, explore how the period depends on different the masses. E (J) Energy vs. time 2.0 llllllllllllllll 12 16 20 24 28 32 36 40 b M t: 24.95 s 9 t (5) Set the spring constant 1N/m 4N/m 2.0 Set the mass of the ball 1 kg 4 kg 2.0 Graph: Energy vs. time Energy vs. position Speed vs. position Velocity vs. position A ball on a spring can move horizontally on a frictionless surface. The ball is always released from rest when the spring is stretched 1.0 m from its natural length. Simulation written by Andrew Duffy, and first posted on 8-05-2015. Updated 7-28-2017 to add the speed and velocity vs. position graphs by AD This work by Andrew Duffy is licensed under a Creative Commons Attribution- NonCommercial- ShareAlike 4.0 International License. The counter has been running on this page since 8-11-2018. The number of people accessinci; the page since then is: E (J) Energy vs. time 2.0 1.5 1.0 0.5 0.0 4 >t (s) 8 12 16 20 24 28 32 36 40 1 t = 40.00 s Play Pause > Reset Set the spring constant 1 N/m 4 N/m 3.5 Set the mass of the ball 1 kg 4 kg 2.0 Graph: Energy vs. time Energy vs. position Speed vs. position Velocity vs. position A ball on a spring can move horizontally on a frictionless surface. The ball is always released from rest when the spring is stretched 1.0 m from its natural length. Simulation written by Andrew Duffy, and first posted on 8-05-2015. Updated 7-28-2017 to add the speed and velocity vs. position graphs by AD CC 1 30 BY NC SA This work by Andrew Duffy is licensed under a Creative Commons Attribution- NonCommercial-ShareAlike 4.0 International License. This simulation can be found in the collection at http://physics.bu.edu/~duffy/classroom.html. The counter has been running on this page since 8-11-2018. The number of people accessing the page since then is: 0 10032Click reset and change the spring constant to 3.5 N/m 24. What is the value of the total energy? 25. How does the maximum value of the kinetic energy compare to the previous case? 26. Estimate the period (5) 27. For a fixed spring constant, explore how the period depends on different the masses
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