Answer : Height, s = 4 m
Explanation :
It is given that,
Work done, W = 40 J
Force applied on the box from the floor to a shelf, [tex]F=10\ N[/tex]
We know that the work done is defined as the force applied on an object to produce a displacement on it.
Mathematically, it is written as :
[tex]W=F\times s[/tex]
s is the height of the shelf
[tex]s=\dfrac{W}{F}[/tex]
[tex]s=\dfrac{40\ J}{10\ N}[/tex]
[tex]s=4\ m[/tex]
So, the height of the shelf is 4 m.
Hence, this is the required solution.