Answer:
[tex]\boxed {\boxed {\sf D. \ 6170 \ N}}[/tex]
Explanation:
We want to find how much force Superman exerted while pushing a boulder.
Work is the energy transferred to or from an object when force is applied along a displacement. It is the product of force and distance.
[tex]W=Fd[/tex]
Superman did 14,500 Joules of work. We can convert the units to make the problem easier later. 1 Joule is equal to 1 Newton meter.
He pushed the boulder 2.35 meters.
Substitute the values into the formula.
[tex]14,500 \ N*m= F* 2.35 \ m[/tex]
We are solving for the force he exerted, so we must isolate the variable F. It is being multiplied by 2.35 meters. The inverse operation of multiplication is division, so we divide both sides by 2.35 meters.
[tex]\frac{14,500 \ N*m}{2.35 \ m}= \frac{F* 2.35 \ m}{2.35 \ m}[/tex]
[tex]\frac{14,500 \ N*m}{2.35 \ m}=F[/tex]
The units of meters cancel.
[tex]\frac{14,500 \ N}{2.35 }=F[/tex]
[tex]6170.21277 \ N= F[/tex]
Round to the nearest whole number. The 2 in the tenth place tells us to leave the 0.
[tex]6170 \ N \approx F[/tex]
Superman exerted approximately 6170 Newtons of force.
