A small car of mass 1000 kg is traveling along a flat, horizontal road when a sudden obstacle appears in front of it. The driver applies the brakes, and the car comes to a complete stop after traveling a distance of 50 m. Assuming that the deceleration is uniform, calculate the magnitude of the force exerted on the car by the brakes, given that the gravitational acceleration is 9.81 m/s².
Use the appropriate kinematic equations to determine the initial velocity of the car when the brakes were applied.