Questions 3, 4, 5 and 6

of a spring by 0.30 oscillating various masses and 0.850 8, 9.24 m 0.650 5 0 20 m 0.25 measuring its maximum speed 0.-400 4, 0.15 m You will need: 0.20 Position (m) Run 1 0. 15 Motion Sensor (and the SparkVue app), small weights, a 02 stand, and a spring 10 400 8, 0 02 mia 0.1 0.0 Pre-lab: 6 260 9 0,20 mvp -0.4 1. The graphs above show 4 51 6 position and velocity vs. time for a mass on a spring oscillating vertically. What kind of energy does the object have at each time: t=0.200 s _kineno (pretend it's stopped, because v=-0.02 m/s is basically zero) t=0.400 scoring t=0.650s _kinene t=0.850 s _Sprep.(4 points) Note: You may completely disregard the gravitational potential energy of the mass, as the spring "takes care of it." This can be proven with a bunch of math. If you want, you can watch Sal Khan prove it here: https://www.khanacademy.org/science/physics/work-and-energy/hookes-law/v/vertical-springs-and-energy- conservation 2. What is the maximum extension of the spring? . / (5 points) 3. Write an equation relating the maximum kinetic energy to the maximum elastic potential energy in terms of m, k, v, and x, where x is the maximum compression/extension of the spring. (10 points) 4. Solve for v2 in terms of k, m, and x. (5 points) 5. You can stretch the spring by different amounts and measure the max speed. You can make a straight line whose slope could be used to find mass k by graphing: (4 points) Horizontal Axis Vertical Axis 6. The slope of the line you graph from question 3 will have a slope equal to what? (Your answer will be an expression that must have k in it and other constants.) (5 points)