# Homework Help: Work done on a bucket

1. Aug 28, 2016

### BlueQuark

1. The problem statement, all variables and given/known data
An old oaken bucket of mass 6.75 kg hangs in a well at the end of a rope. The rope passes over a frictionless pulley at the top of the well, and you pull horizontally on the end of the rope to raise the bucket slowly a distance of 4.00m.
A). How much work do you do on the bucket in pulling it up?

2. Relevant equations
$W = FS$
$W = ΔKE$
$ΣFy = T - mg$

3. The attempt at a solution
First, I assumed the problem was implying that the bucket was in equilibrium when it said it was moving slowly. So since the weight is $(9.81)(6.75) = 66.21 N$, the tension force must be equal to that.

So, $W = FS$. $W = (66.21)(4) = 264.84 J$. This seemed like the correct answer to me, but when I look at the back of the book, it says the answer is 3.60 J.

Where did I go wrong here? Thanks!

2. Aug 28, 2016

### Staff: Mentor

3. Aug 28, 2016

### BlueQuark

That's what I thought too. It's from "Sears and zemansky's University Physics With Modern Physics, 12th edition".

I guess there was a mistake or something in the answer key.

4. Aug 28, 2016

Yep.