Final answer:
The depth of the well from which a 14.0 kg bucket is lifted with a work of 5.00 kJ is approximately 36.39 meters.
Step-by-step explanation:
To calculate the depth of the well from which a woman lifts a 14.0 kg bucket with a work of 5.00 kJ (5000 J), we will use the work-energy principle. The work done is equal to the gravitational potential energy gained by the bucket, which can be expressed as:
Work = gravitational potential energy = m × g × h
Where m is the mass of the bucket, g is the acceleration due to gravity (9.81 m/s²), and h is the height (the depth of the well, in this case).
Plugging in the values and solving for h gives us:
5000 J = 14.0 kg × 9.81 m/s² × h
h = 5000 J / (14.0 kg × 9.81 m/s²)
h ≈ 36.39 meters
Therefore, the depth of the well is approximately 36.39 meters.