Question 3 3 pts Please read carefully; Upload a neat copy of your solutions to the previous two questions. To receive full credit, your solutions must include the following. 1} Draw three free body diagrams, one for each cart (or block]I in the problem. Each diagram can refer to only one Object! Do not combine diagrams, clearly label each diagram so that your instructor knows which object it refers do, and the only forces in each diagram should be the ones that belong in a free body diagram for that object! Vectors should be labeled with the letters and subscripts ("by on") that we have used in this class. 2) Beneath each diagram, write out Newton's second law as it refers to that object. Write out the second law using symbols, not numbers. Writing "net force = m a" does not qualify because that could be written for any object. The symbols and subscripts should clearly refer to specic forces in each diagram. For clarity, the following are three examples of Newton's second law written for an object called "E" (which is not in this question). Credit would be given for the rst example but not for the second or third. 0 This is a good example: mg g TE; sinll + NEH (:05 62 = mg a o This is a bad example that is not specic enough: 2 FE = mg a. o This is a bad example with unspecied numbers and without symbols: (1.7 kg) 9 (3.3 N) sin(59) + (4.9 N) cos(34) = (1.7 kg) (1 3) After you have done the above. you may begin combining equations to solve the problem. This can be done with symbols or numbers, but include units is your equations. Upload H Choose a File Question 1 1 pts HINT: You might want to read Question 3 before starting on this question. This question refers to the situation shown in Figure 1. above. Cart 1 is on a ramp inclined at an angle of theta = 9 = 25.4 away from vertical, as shown in gure 1. Cart 2 is on a ramp that is inclined at an angle of phi = (p = 14.7 away from horizontal, also as shown in the gure. Cart 3 hangs from string B. Cart 1 has a mass of 1.44 kg. Cart 2 has a mass of 2.14 kg. Cart 3 has a mass of 1.84 kg. Carts 1 and 2 roll without friction. Ignore all sources of friction, and assume the only forces on the carts are gravity (with g = 9.81 m/sZJ and contact forces from other objects in the diagram (such as carts, strings, and/or ramps, but possibly not all three). Calculate the acceleration of cart 3, in units of meters per second squared. For Cart 3, consider an upward acceleration to be positive. The sign of your answer is important