Problem 1 (Forces as vectors) = 100 N Two adults and a child want to push a wheeled cart in the +x- 60 direction in the figure. The two adults push with forces F, and F2 as shown. For the questions below, include negative signs if needed. F2 = 140 N A. What is the y-component of the net force exerted by the two adults, Fly + Fzy? B. In order for the box to move in the x-direction shown, find the y-component of the force the child should exert. Ignore the effects of friction. Express your answer in Newtons. C. Assuming the child exerts the force that you found in part (B) and no force in the x- direction, the cart accelerates at 2.0 m/s' in the +x-direction. What is the weight of the cart in Newtons? Enter a positive number.A 3 kg block hangs motionless from a string around a pulley, as shown in the figure. (The string is fixed to the ground on the left side.) Use g = 10 m/s'. Ground A. Which of the following is the correct free-body diagram for the block? You may ignore the buoyant force from the air, as it is too small compared to the weight. (F5- - tension force of the string on the block, Farth-B - weight of the block, Fground-8 normal force of the ground on the block, Fair-8 - drag force on the block, etc. ) a. ground-8 Fground-B b. C. AFS-B d. F5-8 Fair-8 Fair-B FEarth -8 FEarth -8 FEarth -8 FEarth -8 B. What force is responsible for keeping the block from falling? a. Normal b. Gravitational c. Tension in the string d. Drag force exerted by the airC. What is the magnitude of the force you identified in part (B)? Express your answer in N. D. Suppose we cut the string. What would be the magnitude of the acceleration (in m/s ) of the block?Boxes A and B are in contact on a horizontal, frictionless 250 N surface. Box A has mass 20.0 kg and box B has mass 5.0 kg. A A hand exerts a horizontal force of magnitude |FU push | = 250 N on box A. A. What is the acceleration of the two-box system in m/s? B. What is the correct free-body diagram for box B? (FAT - push force of A on B, FEarth-4 - weight of A, psurface- normal force of the surface on B, etc. ) psurface .8 psurface-+8 surface .8 a. b. C. N d. push CA-B push Push CH-4 push FEarth -8 Earth-8 Earth -8 Earth -8 C. What is the magnitude of the force (in Newtons) that box A exerts on box B? (Hint: what is the acceleration of box B?)