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To solve this problem we will apply the concepts related to the balance of forces. Said balance will be given between buoyancy force and weight, both described as derived from Newton's second law, are given as
Buoyancy force

Here,
V = Volume
=Density of air
g = Acceleration due to gravity
Weight

m = mass
g = Gravity
Our values are given as,




Then,

Replacing,

Now net force is ,

Mass of the sphere is

Now acceleration of the sphere is



Therefore the acceleration of the sphere as it falls through water is 
The work done on the filled bucket in raising out of the hole is 2, 925 Joules
<h3>How to determine the work done</h3>
Using the formula:
Work done = force * distance
Note that force = mass * acceleration
F = mg + ma
F = 4. 5 * 10 + 28 * 10
F = 45 + 280
F = 325 Newton
Distance = 9m
Substitute into formula
Work done = 325 * 9
Work done = 2, 925 Joules
Therefore, the work done is 2, 925 Joules
Learn more about work done here:
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