For m1:f1-m1g = (a1+a2) m1; Note: The left side of the equation is the resultant force of m 1, and the right side of the equation is the acceleration and mass product of m 1 relative to the ground.
For m2: f1-m2g = (a1-a2) m2; Note: the left side of the equation is still the resultant force, and the right side is the product of acceleration and mass relative to the surface. Note that the acceleration of the mass relative to the elevator should be negative here;
For the whole system: 300-(m1+m2) g = (m1+m2) a1; Explanation: the whole system on the left side of the equation is subjected to combined external force (regardless of internal force), and the product of system mass and acceleration on the right side.
Among the above three formulas, there are just three unknowns, namely, the rope tension F 1 and the acceleration a 1 and a2, and the solution is very simple. Answer: If the solution of a2 is less than zero, it means that the initial assumed acceleration direction of mass is opposite to the actual situation. Of course, this will only happen if the contrary assumption is made intentionally. It is entirely possible for the subject to assume that the mass block with large mass accelerates upward, and the acceleration of the solution will be less than 0, which means that the actual result is opposite to the assumed direction.