The final kinetic energy is given by
Explanation:
The problem can be solved by using the law of conservation of energy: in fact, the total mechanical energy of the book before the fall and after is constant, therefore we can write
where
is the initial potential energy, at the top
is the initial kinetic energy, at the top
is the final potential energy, at the bottom
is the final kinetic energy, at the bottom
We also have that:
, assuming that the book starts from rest
, assuming the ground as reference level
Therefore the equation becomes
The initial potential energy can be written as
where
m is the mass of the book
g is the acceleration of gravity
h is the initial height
And therefore, the final kinetic energy is given by
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