Explanation:
It is known that the relation between work and force is as follows.
w = [tex]F \times d cos (\theta)[/tex]
where, [tex]\theta[/tex] = angle between the applied force and direction of movement of the object which is zero in this case. As, cos (0) = 1.
Therefore, d = [tex]\frac{w}{F}[/tex]
(i) For w = 36 J, and F = 9 N then value of d will be as follows.
d = [tex]\frac{w}{F}[/tex]
= [tex]\frac{36 J}{9 N}[/tex]
= 4 m
(ii) For w = 36 J, and F = 12 N then value of d will be as follows.
d = [tex]\frac{w}{F}[/tex]
= [tex]\frac{36 J}{12 N}[/tex]
= 3 m
(iii) For w = 36 J, and F = 6 N then value of d will be as follows.
d = [tex]\frac{w}{F}[/tex]
= [tex]\frac{36 J}{6 N}[/tex]
= 6 m
(iv) For w = 36 J, and F = 18 N then value of d will be as follows.
d = [tex]\frac{w}{F}[/tex]
= [tex]\frac{36 J}{18 N}[/tex]
= 2 m