Two adults and a child want to push a wheeled cart in the direction marked x in Fig. 4.36. The two adults Rush with~ horizontal forces F 1 and F 2 as shown in the figure. (a) Find the magnitude and direction of the smallest force that the child x should exert. You can ignore the effects of friction. (b) If the child exerts the minimum force found in part (a), the cart accelerates at 2.0 m}S2 in the + x-direction. What is the weight of the cart?

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F1-100N 60° 30° F2 140 N