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#1)

assume m2 has the greater mass of the two

T-m1g = m1a

m2g - T = m2a

a = (m2g - m1g) / (m1+m2)

#2)

direction of up is positive, down is negative

T-m1g = m1a

T-m2g = m2a

a = (m1g - m2g) / (m2-m1)

The two accelerations are different. Which one is correct, and why?