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Answer :
A 14.0-kg bucket is vertically dropped by a rope with 163 n of tension at any given time. The acceleration of the bucket is upward-directed and has a value of 2.06 ms^-2.
Let's imagine that two bodies are attached by a rope, causing the system to move with an acceleration an in opposition to the force of gravity acting on one of the bodies. By dividing a body's mass (m) by the net force (F n e t) exerted on it, one can calculate the acceleration (a) of the body.
Please direct the bucket's acceleration in an upward direction.
The tension T supplied to the bucket is resisted by the weight mg acting downward, which causes the bucket to rise with an acceleration.
Applying the force balance we have as a result,
ma = T-mg
14a = 163-14 x 9.8
a = 1.84 m/s²
We can see that the acceleration is 1.84 m/s² times larger than the speed and since a has a positive sign, we can infer that the direction is upward.
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