Many cars have bumpers that are designed to compress and rebound elastically without any physical damage at

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Many cars have "bumpers" that are designed to compress and rebound elastically without any physical damage at speeds below If the material of the bumpers permanently deforms after a compression of 1.5 cm, but remains like an elastic spring up to that point, what must be the effective spring constant of the bumper material, assuming the car has a mass of 1050 kg and is tested by ramming into a solid wall?
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