Question about tension with ropes that have mass

[sona1177]

Two 1.00 kg blocks are connected by a rope. A second rope hangs beneath the lower block. Both ropes have a mass of .25 kilograms. The entire assembly is accelerated upward at 3.00 m/s^2 by force F.

a) what is F
b) what is the tension at the top end of rope 1?
c) what is the tension at bottom end of rope 1?
d) what is the tension at top end of rope 2?

My answers:

a) F=32 N

b) Tension at top of rope 1=19.2 N

c) Tension at bottom of rope 1= 16 N

d) Tension at top of rope 2= 3.2 N

I made the assumption that there was no tension at the bottom of rope 2 because there are no contact forces there, nothing is touching the bottom of the rope, it's just hanging. Everything depends on this assumption. Can you please tell me if my answers are correct? Thank you kindly for all your help.

 

[zhermes]

Looks good.

 

[sona1177]

Thank you kindly for all your help!