A car of mass 1300 kg is travelling along a straight level road at 10 ms when the traffic lights change from green to amber. The driver applies the brakes 23 metres from the lights and just manages to stop on the line. Calculate (a) the kinetic energy of the car before braking (b) the work done in bringing the car to rest (c) the force due to the brakes, friction, etc. against which work is done.