AP springy phet (1)

Springy phet (Hooke’s law) Name ________________________________________ Period __ Go to: https://phet.colorado.edu/sims/html/hookes-law/latest/hookes-law_en.html Intro icon 1. Click the “intro” icon. Check all five checkboxes on the right hand side (applied force, spring force, displacement, equilibrium position, values). 2. Play with the applied force. Complete the two tables below: applied force F app direction spring force F s direction displacement Δ x direction left right applied force F app magnitude spring force F s magnitude displacement Δ x magnitude increase decrease 3. What is the name of the position where Δ x = 0 in the phet? ______________________ 4. Set F app = +100 N. Play around with the spring constant . Is a higher value for k result in a stiffer/less stretchy spring, or a less stiff/more stretchy spring? _____________ 5. Complete the table below and plot one overlay graph of F app vs Δ x for each spring constant k: F app (N) displacement Δ x (m) set k = 100 N/m displacement Δ x (m) set k = 300 N/m displacement Δ x (m) set k = 900 N/m -100 -75 -50 -25 0 25 50 75 100 6. Describe the shape of the graph for a constant k: _________________________________________ 7. Calculate the slope of the three plots: ______________________________________ 8. Write a vector equation relating F app , k, and Δ x: _______________

9. Write a vector equation relating F spring , k, and Δ x: _______________ 10. The unit of F app is ________. The unit of Δ x is ________. Therefore the unit of k is ________ 11. Without using the phet, predict the displacement (compression or stretching) of a spring that has a spring constant of 500 N/m when a force of 75 N is applied in the rightward direction. equation substitution Answer with unit 12. Now use the phet and verify your answer. Energy icon 1. Click the “energy” icon. Check these checkboxes on the right hand side: energy plot, applied force, force, displacement, equilibrium position, values. 2. Set the spring constant = 300 N/m. Complete the table below and plot a graph of PE vs Δ x for each spring constant k: Δ x (m) Potential energy (J) set k = 300 N/m -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 3. If the spring constant is halved (0.5X), the PE is ________ 4. If the spring constant is tripled (3X), the PE is ________ 5. If the displacement Δ x is tripled (3X), the PE is ________ System icon 1. Two springs are connected as shown. Draw the FBD of the black ring in the middle when there is an F app .