If we consider that m1 is the mass of the first object and a1 is the acceleration due to the application of an external force of 5N, from Newton’s 2nd law, we’ll have
For mass m1
newton 2nd law
F = m1a1
5 = m1×10
m1 = 21kg
For mass m2
F = m2a2
5 = m2 × 20
m2 = 1/4kg
if tied together
Total mass =m1+m2 =1/2 + 1/4 = 3/4kg
Now
F=MTQT
aT = 5/MT =5×4/3
=20/3 m/s2
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Physics