Question

2) A person lifts a 12.0 kg bucket of water from a well at constant speed. If 4000 J of work are done,

how deep is the well?

Answer 1

33.98m

Step-by-step explanation:

Work= Force * Distance

Let h be depth of well, m be mass of the bucket and g is gravitational force taken as 9.81

Since we are provided with the amount of work done, the work done by gravitational force

W=Fh=-mgh where F is force.

The W is which implies that the gravitational field surrounding the bucket gains energy as the bucket is lifted. To lift the bucket up, work done by the will be positive to balance with work done by gravitational force

Work done by man= fh = mgh

Substituting m for 12.0Kg, W= 4000J and g=9.81 then we make h the subject

h=
`\frac {W}{mg}`

h=
`\frac {4000}{12*9.81}`

h=33.97893306

Rounding off to 2 decimal places, h=33.98