What is the tension in each piece of rope in an accelerating balloon system?

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SUMMARY

The discussion focuses on calculating the tension in each piece of rope in an accelerating balloon system, specifically when the balloon accelerates upwards at 0.40 m/s². The relevant equation used is F = ma, where Fnet is derived from the difference between the upward force (Fa) and the gravitational force (Fg). The calculations show that for a mass of 9.00 kg, the tension in the bottom piece of rope is determined by the formula Fnet = (9.00 kg)(0.40 m/s²) - (9.00 kg)(9.8 m/s²).

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Homework Statement


If the balloon in the diagram drawn below is accelerating upwards at 0.40 m/s (squared), calculate the tension in each piece of rope. Assume that the rope has no mass.

The diagram:
2d0kyyt.jpg


Homework Equations


F = ma

The Attempt at a Solution


For the bottom piece of rope
Fnet = Fa - Fg
Fnet = ma - mg
Fnet = (9.00)(0.40) - (9.00)(9.8)

where Fnet is the tension in the piece of rope, Fa is the force accelerating the balloon upwards, and m is the mass of the object held up by the rope
 
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no help?? I have this problem set due tomorrow.. any answer would be so appreciated
 

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