We are given the following configuration:
Where:
[tex]\begin{gathered} N=\text{ normal force} \\ F_f=\text{ force of friction} \\ W=\text{ weight} \\ F=\text{ pulling force} \end{gathered}[/tex]Since we are given the force to set the body in motion this means that the pulling force is equal to the friction force, therefore, we have:
[tex]F=F_f[/tex]The friction force is given by the following formula:
[tex]F_f=\mu N[/tex]Substituting we get:
[tex]F=\mu N[/tex]Now, we solve for the normal force by dividing both sides by the coefficient of friction:
[tex]\frac{F}{\mu}=N[/tex]Now, we plug in the values:
[tex]\frac{71.2N}{0.105}=N[/tex]Solving the operations:
[tex]678.1N=N[/tex]Therefore, the normal force is 678.1 Newtons.