4.37 Two adults and a child want to push a wheeled cart in the direction marked x in Fig. P4.37. The two adults push with horizontal forces F1 and F2 as shown in the figure. (a) Find the magnitude and direction of the smallest force that the child 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/s-in the +x-direction. What is the weight of the cart?

Fig: 1

Fig: 2