1. The problem statement, all variables and given/known data A pinball machine launches a 90g ball with a spring driven plunger. The game board is inclined at an angle of 6[tex]\circ[/tex] above the horizontal. Assume the plunger's mass and frictional effects are negligible. The acceleration of gravity is 9.8m/s2. Find the force constant k of the spring that will give the ball a speed of 101cm/s when the plunger is released from rest with the spring compressed 4 cm from its relaxed position. Answer in units of N/m. 2. Relevant equations Not too sure, but... Fg=mgsin[tex]\Theta[/tex] F=-kx [tex]\sum[/tex]F=ma And since I see something about speed in there, I assume we'll need a kinematic equation as well? From what I can tell it looks like: Vf2=Vi2+2ax 3. The attempt at a solution To start, everything needs converted from cm to m. Next...I'm guessing what needs done is I need to find the acceleration necessary to get the ball from rest to 1.01m/s within 0.04m. Then once that's been found, would I calculate the net force and solve for k in that equation?