1. The problem statement, all variables and given/known data A 380 g cart is rolling along a straight track with velocity 0.850i m/s at x = 0. A student holds a magnet in front of the cart to temporarily pull forward on it, and then the cart runs into a dusting of sand that turns into a small pile. These effects are represented quantitatively by the graph of the x component of the net force on the cart as a function of position in the figure below. (a) Will the cart roll all the way through the pile of sand? Explain how you can tell. (b) If so, find the speed at which it exits at x = 7.00 cm. If not, what maximum x coordinate does it reach? 2. Relevant equations W= (F)(d)cos(theta) W= [tex]\int[/tex] F dx KE= 1/2(m)(v)2 3. The attempt at a solution I no that it does roll all the way through the pile of sand, but I am not sure why. Can someone please explain why. To do the second part, what I did was use the kinetic energy formula above, and set the kinetic energy to the work involved. I found the amount of work done by finding the area under the curve of the graph, and adding each of the areas. For the work, i got: W= [tex]\int[/tex] F dx W= (2)(1) +1/2(4)(3=)= 8 Ncm --> .08 Nm Then I set the kinetic energy equal to work W=KE .08= .5(.380kg)v2 v= .65 m/s I know this is wrong, so can someone help me please!!!