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(II) Eight books, each 4.0$\mathrm { cm }$ thick with mass 1.8$\mathrm { kg }$ , lie flat on a table. How much work is required to stack them one on top of another?

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$$2 \times 10^{1} \mathrm{J}$$

Physics 101 Mechanics

Chapter 7

Work and Energy

Work

Kinetic Energy

Potential Energy

Energy Conservation

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Lectures

04:05

In physics, a conservative force is a force that is path-independent, meaning that the total work done along any path in the field is the same. In other words, the work is independent of the path taken. The only force considered in classical physics to be conservative is gravitation.

03:47

In physics, the kinetic energy of an object is the energy which it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body in decelerating from its current speed to a state of rest. The kinetic energy of a rotating object is the sum of the kinetic energies of the object's parts.

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So we have eight books and we're trying to find out how much Ah, work in order to place them on top of one another so we can see that the total work is going to simply be the the work that we do against gravity. So it will be M d d for the first book, then for the second, and you simply add until you get to, of course, seven plus five mg six and then plus seven. And at this point we can say that the work done is going to be equal to 20 AMG and this legal 28 times 1.8 kilograms per book times 9.8 meters per second acceleration due to gravity and then, lastly, the thickness of one book. So 10.0 for zero meters and we find that the work done in order to stack these books on top of one another 19.76 Jules, that would be our final answer. That is the end of the solution. Thank you for watching

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