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Four people sit in a car. The masses of the people are 41\ \mathrm{kg}, 47\ \mathrm{kg}, 53\...

Question:

Four people sit in a car. The masses of the people are {eq}41\ \mathrm{kg} {/eq}, {eq}47\ \mathrm{kg} {/eq}, {eq}53\ \mathrm{kg} {/eq}, and {eq}55\ \mathrm{kg} {/eq}. The car's mass is {eq}1020\ \mathrm{kg} {/eq}. When the car drives over a bump, its springs cause an oscillation with a frequency of {eq}1.00\ \mathrm{Hz} {/eq}. What would the frequency be if only the {eq}41-\mathrm{kg} {/eq} person were present?

Spring-mass System:

When a vehicle travels on a bump, the frequency of vibration of the vehicle depends on the total mass on the shock absorber spring and the force constant of the spring. The higher the mass on the spring, the lower the frequency of vibration. The frequency of vibration directly changes with the stiffness of the spring, i.e., for stiff spring, the frequency of vibration is higher.

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Given data:

  • {eq}\rm 41 \ kg, \ 47 \ kg, \ 53 \ kg, \ and \ 55 \ kg {/eq} are the masses of the four people
  • {eq}M=\rm 1020 \ kg {/eq} is the...

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Practice Applying Spring Constant Formulas

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Chapter 17 / Lesson 11
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In this lesson, you'll have the chance to practice using the spring constant formula. The lesson includes four problems of medium difficulty involving a variety of real-life applications.


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