Answer:
[tex]\boxed {\boxed {\sf 130 \ Newtons }}[/tex]
Explanation:
Work is the energy transferred to or from an object when force is applied to cause displacement. It is the product of force and displacement.
[tex]W=F*s[/tex]
The displacement (s) is 8 meters and the work (W) is 1,040 Joules. Substitute these values into the formula.
[tex]1040 \ J= F* 8 \ m[/tex]
First, let's convert the units. This will make the question easier later on. 1 Joule is equal to 1 Newton meter, so the 1040 J of work equal 1040 N*m.
[tex]1040 \ N*m= F * 8 \ m[/tex]
Since we are solving for the force (F), we must isolate the variable. It is being multiplied by 8 meters and the inverse of multiplication is division. Divide both sides by 8 m.
[tex]\frac {1040 \ N*m}{8 \ m}= \frac{F * 8 \ m}{8 \ m}[/tex]
[tex]\frac {1040 \ N*m}{8 \ m}=F[/tex]
The meters cancel out, hence our earlier unit conversion.
[tex]130 \ N = F[/tex]
A force of 130 Newtons is used.
