With the brakes fully applied, an automobile with given mass m = 2390 kg 'deceler- ates' at the constant given rate corresponding to a = -7.3 m/s2 from the initial speed vo = 73.5 m/s all the way to rest. work the following symbolically first, (giving your answer in terms of given parameters) and then numerically, part-by-part: part (a) use newton's laws to determine the magnitude of the constant "braking force" acting on the automobile? be sure to include a free-body-diagram. give your answer both in terms of the given parameters and then also give a numerical answer in newtons. in terms of forces that you can find on your force menu, what kind of force is the braking force? part (b)-calculate the stopping distance using the kinematic formulae for constant acceleration give your answer both in terms of the given parameters and then also give a numerical answer in meters part (c)use your result from part (a) and your result from part (b) together with the definition of work to calculate the work done by the braking force. give your answer both in terms of the given parameters and also numerically in joules. is the sign of the work done on the car positive or negative? in other words, are the brakes doing positive work or negative work on the car? part (d)-what is the work done by the force normal on the car due to the road during the braking interval. how do you know this? give your answer both in terms of any given parameters and also in joules part (e) what is the work done by the force of weight on the car due to the road during the braking interval. how do you know this? give your answer both in terms of any given parameters and also in joules. part (f in consideration of your answers for part (c), part (d), and part (e), what is the total work done on the car during the braking interval? give your answer both in terms of any given parameters and also in joules part (g) explicitly calculate is the initial kinetic energy of the automobile. also calculate the final kinetic energy. use this result to calculate ak for the automobile during the interval of braking. give your answer both in terms of the given parameters and numerically in joules. part (h) finally, compare your answer for part (f) to the answer you got for part (g). are these values the equal or unequal? do you expect the values to be equal? does your result confirm a fundamental law of physics? explain