Three carts roll over inclined planes with negligible friction. The carts are connected by massless strings. Carts 1 and 2 are connected by String A, while carts 2 and 3 are connected by String B which runs over a massless and frictionless pulley. Carts 1 and 2 are on a plane that is inclined at an angle of alpha = a above horizontal, as shown in the diagram above. Cart 3 is on a plane which is inclined at an angle of beta = ,8 away from vertical, also as shown in the diagram. This question also refers to the situation described in the "inclined plane diagram" above. Assume there is no friction or air resistance anywhere in the system. Assume there is no friction, and no forces other than gravity {with g = 9.81 misQJ and the contact forces exerted by solid objects. The "solid objects" might include inclined planes, carts, andx'or strings, but not necessarily all of those things. The plane on the left (with carts 1 and 2) is inclined at an angle of alpha = a = 22.9 degrees above horizontal. The plane on the left is inclined at an angle of beta = ,6 = 32.3 degrees away from vertical. Both of these angles are shown in the diagram. The mass of cart 1 is 1.84 kg. The mass of cart 2 is 4.14 kg. The mass of cart 3 is 1.17 kg. What would be the acceleration of Cart 3 in this situation? The sign of your answer is important. Call the acceleration positive if if points to the right and down (and call acceleration negative if it points to the left and up). Calculate the acceleration of Cart 3 in units of mfsz. This question also refers to the situation described in the "inclined plane diagram" above. Read carefully and calculate very carefully because conditions have changed. Again assume there is no friction, and no forces other than gravity (with g = 9.81 m/s2) and the contact forces exerted by solid objects. The "solid objects" might include inclined planes, carts, and/or strings, but not necessarily all of those things. The plane on the left (with carts 1 and 2) is inclined at an angle of alpha = a = 21 degrees above horizontal. The plane on the left is inclined at an angle of beta = B = 33.8 degrees away from vertical. Both of these angles are shown in the diagram. The mass of cart 1 is 1.08 kg. The mass of cart 2 is 1.71 kg. The mass of cart 3 is 2.59 kg. Calculate the magnitude of the tension in string A in units of newtons