In: Physics
Assume the blocks are connected from left to right in the order
A-B-C, and that the force F is pulling block C towards the right.
The blocks are moving at equal acceleration "a".
At C,
F - T_BC = ma
At B,
T_BC - T_AB = ma
At A,
T_AB = ma
From these,
F = 3*T_BC/2
F = 3*3/2
F = 4.5 N
Also,
T_AB = T_BC/2
T_AB = 3/2
T_AB = 1.5 N