A 0.5 kg ball of negligible size is fired up a vertical track of radius 1.5 m using a spring plunger with k = 500 N/m. The plunger keeps the spring compressed 0.08 m when s = 0 (i.e., after the ball leaves the spring is still compressed 0.08 m). What is the distance s the plunger must be pulled back and released so the ball will begin to leave the track when θ = 135°.What is your first step? IC8.1 PinballSolution:Problem Type: Find:Given: m = 0.5 kg, k=500N/m, r=1.5m, Plunger keeps springcompressed 0.08m when handle is not pulled.s, so that ball leaves track at θ=135º Work Energy and F=ma to determine ball leaving trackDraw FBD and MAD at θ=135ºT1+ V1e+ V1g+ U1-2= T2+ V2e+ V2g Which are zero?00JVVmghVggg56.12)45sin5.15.1(81.95.0222=°+==Apply Equations of motion in the Normal directionIn order to find the initial spring compression to give this speed we need to use Work-Energy. Add a datum to the figure and write out the WE equation
This is the end of the preview.
access the rest of the document.