Respuesta :

Answer:

For the car to move with constant velocity the additional force required is  [tex]F__{dg} }= -3674 \ N[/tex]

Explanation:

From the question we are told that

  The net force of the car is  [tex]F_{net} = 3674 \ N[/tex]

Generally the total  force acting on the  car is the net force plus the force due to gravity acting in direction of the car (Let denote it as [tex]F__{dg}[/tex])

So the total force acting on the car is mathematically represented as

        [tex]F_{net} + F__{dg}} = F[/tex]

Here this F representing the total force can be mathematically represented as

      [tex]F = ma[/tex]

Now for constant velocity to be attained, the acceleration of the car will be zero  

So  at constant velocity

       [tex]F = m * 0[/tex]

=>    [tex]F = 0 \ N[/tex]

So  

     [tex]F_{net} + F__{dg}} = 0[/tex]

=>   [tex]F__{dg} }= -F_{net}[/tex]

=>   [tex]F__{dg} }= -3674 \ N[/tex]