Eight books, each 4.1 cm thick with mass 1.8 kg, lie flat on a table. How much work is required to stack them one on top of another?
work on each is weight*height.
work=m*.041(1+2+3+...7)g
check my thinking.
17.4
right
To find the work required to stack the books one on top of another, we need to consider the gravitational potential energy.
The gravitational potential energy is given by the equation:
Potential Energy = mass x gravity x height.
In this case, the height is the combined thickness of all the books stacked together. Since each book is 4.1 cm thick, the height of 8 books stacked will be 8 x 4.1 cm.
First, let's convert the height to meters:
Height = 8 x 4.1 cm = 32.8 cm = 0.328 m.
The mass is given as 1.8 kg.
The acceleration due to gravity, denoted by g, is approximately 9.8 m/s^2.
Now we can calculate the work done:
Work = Potential Energy = mass x gravity x height.
Substituting the given values:
Work = 1.8 kg x 9.8 m/s^2 x 0.328 m.
Now we can calculate the final answer:
Work = 1.8 x 9.8 x 0.328 Joules.
Evaluating this expression will give you the amount of work required to stack the books one on top of another.