Find the tension T of the two blocks. I think I'm doing something wrong

[riseofphoenix]

Find the tension T of the two blocks. I think I'm doing something wrong :(

T₁ = m₁g = (2)(9.81) = 19.62
T_2final = T₂ + T₁ = m₂g + m₂g = (3)(9.81) + (2)(9.81) = 29.43 + 19.62 = 49.05

I did something wrong. :(
Help?

 

[riseofphoenix]

Oh wait!
T₁ = (m₁ + m₂)g
T₁ = (2 + 3)(9.81)
T₁ = (5)(9.81)
T₁ = (5)(9.81)
T₁ = 49.05

T₂ = m₂g
T₂ = (3)(9.81)
T₂ = 29.43

Is that right? Is the answer (d)?

 

[ap123]

That looks right.
T2 has to support 3kg, and T1 has to support 5kg.

You can also check this by looking at the forces on m1 :
T1 = m1g + T2
Your answers agree with this.