Braking Force Calculator

Braking Force Calculator:

Enter the values of Mass, m_(kg), Velocity, v_(m/s), and Distance, d_(m) to determine the value of Braking Force, F_(N).

Enter Mass :		kg
Enter Velocity:		m/s
Enter Distance:		m
Result – Braking Force:		N

Braking Force:

Braking force is the force applied to stop or slow down a moving object, typically a vehicle. It is generated by the brake system and is responsible for reducing the vehicle’s kinetic energy. The braking force is essential for safety in vehicles and plays a vital role in controlling the speed and bringing the object to rest within a certain distance.

It depends on the mass of the object, its speed, and the distance over which the object comes to a stop. As speed or mass increases, the braking force needed to stop an object also increases.

Braking systems in vehicles are designed to provide enough braking force to stop within the shortest and safest distance possible under given road and load conditions.

The energy involved in the motion is kinetic energy, which is calculated as 0.5* mass * velocity squared.To stop the object, this kinetic energy is converted into heat and other forms of energy through friction between the brake pads and the wheels.

The formula used to calculate braking force assumes constant deceleration and ignores other resistive forces such as air resistance.

The equation reflects the conversion of kinetic energy into work done by the braking force over a given distance.Higher speed or shorter stopping distance increases the required braking force.

Braking Force, F_(N) in Newtons equals 0.5 multiplied by the Mass, m_(kg) in kilogramsmultiplied by the Velocity squared, v_(m/s) in metres per second divided by the Distance, d_(m) in metres.

Braking Force, F_(N)= 0.5 * m_(kg)* v²_(m/s)/ d_(m)

F_(N)= braking force in Newtons, N.

m_(kg)= mass in kilograms, kg.

v_(m/s) = velocity in metres per second, m/s.

d_(m)= distance in metres, m.

Braking Force Calculation:

1. A car of mass 1000 kg is moving at a speed of 20 m/s and comes to a stop in 50 metres. Find the braking force.

Given: m_(kg)= 1000kg, v_(m/s) = 20m/s, d_(m)= 50m.

Braking Force, F_(N)= 0.5 * m_(kg)* v²_(m/s)/ d_(m)

F_(N)= 0.5 * 1000 * 20² / 50

F_(N)= 200000 / 50

F_(N)= 4000N.

2. A vehicle of mass 1200 kg is moving at 25 m/s and the braking force applied is 5000 N. Find the stopping distance.

Given: m_(kg)= 1200kg, v_(m/s) = 25m/s, F_(N)= 5000N.

Braking Force, F_(N)= 0.5 * m_(kg)* v²_(m/s)/ d_(m)

d_(m)= 0.5 * m_(kg)* v²_(m/s)/ F_(N)

d_(m)= 0.5 * 1200 * 25² / 5000

d_(m)= 375000 / 5000

d_(m)= 75m.