The average resistive force is 128.6 N
Explanation:
The work done by a force on an object is given by:
[tex]W=Fd cos \theta[/tex]
where
F is the magnitude of the force
d is the displacement
[tex]\theta[/tex] is the angle between the direction of the force and of the displacement
In this problem, we have a resisting force acting on the object that slides. The work done by the force is equal to the change in energy of the object, so
[tex]W=-3.6\cdot 10^3 J[/tex]
where the negative sign indicates a loss of energy.
Moreover, the displacement of the object is
d = 28 m
The resisting force acts in a direction anti-parallel to the motion of the object, so
[tex]\theta=180^{\circ}[/tex]
Therefore we can solve the equation for the force, F:
[tex]F=\frac{W}{d cos \theta}=\frac{-3.6\cdot 10^3}{(28)(cos 180^{\circ})}=128.6 N[/tex]
Learn more about work:
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