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A new car, car 1, has a spring loaded rear bumper with a force constant of 8.4 x 10^5 N/m. While car 1 is parked, a second vehicle, car 2 (with a mass of 1.5 x 10^3kg), travels at a constant speed of 18km/h, hitting car 1 in the rear bumper.
a.) Calculate the kinetic energy of car 2.
b.) Calculate the distance that car 1's bumper with compress if car 2 comes to a complete stop after striking it.
Prove that the maximum speed (Vmax) of a mass on a spring is given by 2pi(f)(A).
Please show your answer in great detail and explain.
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