Designers of today’s cars have built “5mi/h (8 km/h)

Chapter 17, Problem 72GP

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QUESTION:

Problem 72GP

Designers of today’s cars have built “5mi/h (8 km/h) bumpers” that are designed to compress and rebound elastically without any physical damage at speeds below 8 km/h. 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 the effective spring stiffness constant of the bumper be, assuming the car has a mass of 1300 kg and is tested by ramming into a solid wall?

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QUESTION:

Problem 72GP

Designers of today’s cars have built “5mi/h (8 km/h) bumpers” that are designed to compress and rebound elastically without any physical damage at speeds below 8 km/h. 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 the effective spring stiffness constant of the bumper be, assuming the car has a mass of 1300 kg and is tested by ramming into a solid wall?

ANSWER:

SolutionStep 1 of 5 a. Write a realistic problem for which this is the correct equation. The last two questions should involve real planets. Be sure that the answer your problem requests is consistent with the equation given.Calculate the distance from the center of the saturn(5.98× 10 kg ), where the forceon the object of mass m is equal to the weight of the object on the earth.

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