Two adults and a child want to push a wheeled cart in the direction marked x in the figure . The two adults push with horizontal forces F1and F2 as shown in the figure.

A. Find the magnitude of the smallest force that the child should exert. You can ignore the effects of friction.
B. Find the angle that the force makes with the +x-direction. Take angles measured counterclockwise from the +x-direction to be positive
C. If the child exerts the minimum force found in part (A) and in part (B) , the cart accelerates at 2.00 \, {\rm m}/{\rm s}^{2} in the +x - direction. What is the weight of the cart?

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