Question

If a car is accelerating downhill under a net force 3674 N , what additional force would cause the car to have a constant velocity

Answer 1

Answer:

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

Explanation:

From the question we are told that

  The net force of the car is  $F_{net} = 3674 \ N$

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 $F__{dg}$)

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

        $F_{net} + F__{dg}} = F$

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

      $F = ma$

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

So  at constant velocity

       $F = m * 0$

=>    $F = 0 \ N$

So  

     $F_{net} + F__{dg}} = 0$

=>   $F__{dg} }= -F_{net}$

=>   $F__{dg} }= -3674 \ N$