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]