A 6kg bucket of water is being pulled straight up by a strin

Margie Marx 2021-12-14 Answered
A 6kg bucket of water is being pulled straight up by a string at a constant speed. The tension on the string was F = ma
F=(6kg×9.8ms2) , F=58.8N Now its asking At a certain point the speed of the bucket begins to change. The bucket now has an upward constant acceleration of magnitude 3ms2. What is the tension in the rope now? The correct answer was "about 78N" then Now assume that the bucket has a downward acceleration, with a constant acceleration of magnitude 3ms2.What is the tension in the rope?
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Expert Answer

Jonathan Burroughs
Answered 2021-12-15 Author has 37 answers
Firstly, Fy=Tmg=may=0
As ay=0, so Tmg=0
T=mg=6.0×9.8=58.8
Now, use the same formula to find the tension in the rope.
Do the acceleration, when the bucket has an upward acceleration, it means that it has a positive value ay=+3ms2
When it has a downward acceleration, it means that it has a negative value of ay=3ms2
Now,
Fy=Tmg=may=+3.0×6
Tmg=18
T=18+mg=18+(6.0×9.8)=76.8N
Now, you should apply the same thing into the downward acceleration
Fy=Tmg=may=3.0×6
Tmg=18
T=18+mg=18+(6.0×9.8)=40.8N
T=40.8N
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