If a woman lifts a 19.3 kg bucket from a well and does 6.10 kJ of work, how deep is the well? Assume that the speed of the bucket remains constant as it is lifted
To determine the depth of the well, we can use the concept of work done against gravity. The work done against gravity is equal to the change in potential energy of the bucket.
The formula for work done against gravity is given by:
Work = Force x Distance
The force exerted in lifting the bucket is equal to its weight, which can be calculated using the equation:
Force = Mass x Gravity
Given that the mass of the bucket is 19.3 kg and the acceleration due to gravity is approximately equal to 9.8 m/s², we can calculate the force:
Force = 19.3 kg x 9.8 m/s²
Next, we will calculate the distance, which represents the depth of the well. However, the distance moved is not provided directly in the problem. Instead, we are given the amount of work done, which is 6.10 kJ (kilojoules).
To convert the work from kilojoules to joules, we need to multiply it by 1000:
Work = 6.10 kJ x 1000 J/kJ
Now we can find the distance (depth) of the well by rearranging the formula:
Distance = Work / Force
Substituting the calculated values:
Distance = (6.10 kJ x 1000 J/kJ) / (19.3 kg x 9.8 m/s²)
By performing the calculations, we can determine the depth of the well.