How much work is done on a bucket when pulling it up?

[BlueQuark]

Homework Statement

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?

Homework Equations

$W = FS$
$W = ΔKE$
$ΣFy = T - mg$

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!

 

[Doc Al]

I'd say your answer is correct. What book/problem is this from?

 

[BlueQuark]

I'd say your answer is correct. What book/problem is this from?

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.

 

[Doc Al]

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

Yep.