A beautiful man with a large nose named
Melvin lifts a 28.1 kg bucket from a well anddoes 4.24 kJ of work.
The acceleration of gravity is 9.8 m/s2 .
How deep is the well?
Answer in units of m
To determine the depth of the well, we can use the concept of work done. The work done in this scenario is equal to the gravitational potential energy gained by lifting the bucket.
The formula for gravitational potential energy is given by:
Potential Energy = mass x acceleration due to gravity x height
Here, we need to solve for height, so rearranging the formula:
Height = Potential Energy / (mass x acceleration due to gravity)
Now, let's substitute the given values into the formula:
Potential Energy = 4.24 kJ (converted to joules) = 4.24 x 10^3 J
Mass = 28.1 kg
Acceleration due to gravity = 9.8 m/s^2
Plugging in the values:
Height = (4.24 x 10^3 J) / (28.1 kg x 9.8 m/s^2)
Calculating that:
Height = 15.04 meters
Therefore, the depth of the well is 15.04 meters.