A dairy farmer notices that a circular water trough near the barn has become rusty and now has a hole near the base. The hole is
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The change in potential energy of an object is given by
where
m is the mass of the object
g is the gravitational acceleration
is the increase in altitude of the object
In our problem,
is the mass of the book, 
and
is the increase in altitude of the book, so its variation of potential energy is
where
m is the mass of the object
g is the gravitational acceleration
In our problem,