Four people, each with a mass of 71.7 kg, are in a car with a mass of 1130 kg. An earthquake...

Question:

Four people, each with a mass of {eq}71.7 \ kg {/eq}, are in a car with a mass of {eq}1130 \ kg {/eq}. An earthquake strikes. The driver manages to pull off the road and stop, as the vertical oscillations of the ground surface make the car bounce up and down on its suspension springs. When the frequency of the shaking is {eq}1.50 \ Hz {/eq}, the car exhibits a maximum amplitude of vibration. The earthquake ends and the four people leave the car as fast as they can. By what distance does the car's undamaged suspension lift the car's body as the people get out?

Hooke's Law:

Hook's Law is based on the principle of the third Law of Newton in which the force applied of the spring is comparable to the distance shortened or stretched on applying the load, the proportionality sign got replaced by the spring constant.

Answer and Explanation:

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Given Data:

  • The mass of each people: {eq}{m_p} = 71.4\;{\rm{kg}}{/eq}
  • The mass of the car: {eq}{m_c} = 1130\;{\rm{kg}}{/eq}
  • The frequency of...

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Hooke's Law & the Spring Constant: Definition & Equation

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Chapter 4 / Lesson 19
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After watching this video, you will be able to explain what Hooke's Law is and use the equation for Hooke's Law to solve problems. A short quiz will follow.


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