The equation for kinematics for deceleration from initial and final speed is
The equation for the weight of the car is
Here, is the acceleration due to gravity and is the mass of the car.
The mass of the car is calculated by substituting and , then
The final speed of the car is zero after the brakes are applied, substitute the initial speed and distance of skid then
The net braking force is . Substitute the values in the above equation
The negative sign indicate retarding force.
Hence, option (B), (C) and (D) are incorrect answers.
The braking force is .
Hence, option is the correct answer.