1. The problem statement, all variables and given/known data An object is acted on by the force shown in the picture shown below: What is the final position of the object if its initial position is x = 0.50 m and the work done on it is equal to -0.29 J? Initial position = Xi = 0.5 m Work = W = -0.29 J Force = F displacement = d Final position = Xf = ? m 2. Relevant equations W = F(d - Xi) + F(d-d) + F(Xf - d) W = Fd 3. The attempt at a solution I worked on the first part of this problem, where work was equal to 0.12 J and the initial position was 0.5 m, using this equation: 0.12 = 0.8(0.5 - 0.5) + 0.4(0.75-0.5) + 0.2(Xf - 0.75) I assumed, since W = Fd, and displacement can't have a negative value, Force would have to have a negative value to get a negative value for Work. Using this logic, I modified the original equation to use a negative Force: W = -F(d - Xi) - F(d-d) - F(Xf - d) Using this equation, I went through these steps: 1. Plug in values -0.29 = -0.8(0.5 - 0.5) - 0.4(0.75-0.5) - 0.2(Xf - 0.75) 2. Reduce -0.29 = 0 - 0.1 + 0.15 - 0.2Xf 3. Subtract 0.15 and add 0.1 to both sides -0.34 = -0.2Xf 4. Divide both sides by 0.2 1.7 = Xf However, the answer I got for the final position (1.7), was incorrect. I'm assuming my initial logic using negative values for force was incorrect, but I'm not sure how else I would solve the problem with a negative work value. Any help is appreciated. Thanks!