a frictionless mass1(1kg) is accelerated by mass two(1kg). The two masses are conceted by inextensible,flexible string. calculate the acceleration of the system of the two masses.

Answer 1

Perhaps mass 2 is hanging from a pulley on earth and mass one is sliding on a frictionless horizontal table?

If so

force = m2 g
mass accelerated = (m1+m2)

F = m a
m2 g = (m1+m2) a