A horizontal force of 480 n is applied to a stationary wooden box in one direction and a 600 n horizontal force is applied in the opposite direction. What is the additional force is needed for the box to remain stationary

Respuesta :

Answer:

The additional force is  [tex]F_3 = 120 \ N[/tex]

Explanation:

From the question we are told that

      The horizontal force in one direction is  [tex]F_i = 480 \ N[/tex]

       The horizontal force in the opposite direction is  [tex]F_f = -600 \ N[/tex]

The negative sign shows that it is acting in the opposite direction

Generally for the box to remain stationary the net force on it must be equal to zero  that is  

        [tex]F_1 + F_2 +F_3 = 0[/tex]

Where [tex]F_3[/tex] is the additional force required  

    So

          [tex]F_3 = -F_1 - F_2[/tex]

substituting values

         [tex]F_3 = -480 - [-600][/tex]

        [tex]F_3 = -480 + 600[/tex]

       [tex]F_3 = 120 \ N[/tex]