A car with mass m is moving at a constant speed v on a level...

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A car with mass m is moving at a constant speed v on a level road. After an emergency brake, the maximum distance it slides is s. If the car is loaded with an additional mass m of cargo and is moving at a constant speed of 4v (with no air resistance), what will be the new maximum distance it slides after the emergency brake?

When a car brakes to a stop, the work done by the braking force equals the car's initial kinetic energy, which is then converted into the work done to overcome friction. The frictional force does negative work to stop the car.

The kinetic energy of the car is given by:

The work done to stop the car, , where is the frictional force and is the stopping distance.

Since the work done to stop the car equals the initial kinetic energy, we have:

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