The force exerted by the tugboat is 1616 N
Explanation:
The work done by a force on a body is given by
[tex]W=Fd cos \theta[/tex]
where
F is the magnitude of the force
d is the displacement of the body
[tex]\theta[/tex] is the angle between the direction of the force and of the displacement
In this problem, we have:
[tex]W=9.8 \cdot 10^7 J[/tex] is the work done by the tugboat
[tex]d=35 miles \cdot 1609 m/miles = 56,315 m[/tex] is the displacement
The maximum work is done when the force is parallel to the displacement, so when
[tex]\theta=0[/tex]
So, we can re-arrange the equation to find the force exerted by the tugboat:
[tex]F=\frac{W}{d cos \theta}=\frac{9.8\cdot 10^7}{(56315)(1)}=1616 N[/tex]
Learn more about work here:
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