The bumper on a car is made of flexible plastic so that it will compress on impact

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The bumper on a car is made of flexible plastic so that it will compress on impact and “cushion” the car’s occupants during a collision. Suppose a car of mass m = 1200 kg is traveling slowly through a parking lot at 2.5 m/s when it strikes a brick wall. 

(a) What is the approximate value of the maximum compression of the bumper? 

(b) If the bumper can be modeled as a spring, what is approximate value of the spring constant of the bumper?

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