Answer :

Given:

The mass of the box is,

[tex]m=6\text{ kg}[/tex]

The force applied on the box is,

[tex]F=50\text{ N}[/tex]

The angle of the force with the horizontal is,

[tex]\theta=53^{\circ}[/tex]

The coefficient of friction is,

[tex]\mu=0.3[/tex]

The Normal force on the box is,

[tex]\begin{gathered} N=\text{Fsin}\theta-mg \\ =50\times\sin 53^{\circ}-6\times9.8 \\ =-18.9\text{ N} \end{gathered}[/tex]

The frictional force on the box is (we take the magnitude of the force only)

[tex]\begin{gathered} f=\mu N \\ =0.3\times18.9 \\ =5.6\text{ N} \end{gathered}[/tex]

Hence the frictional force is 5.6 N.

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