Spring constant of each spring when compressed

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SUMMARY

The spring constant for each of the four springs in a car with a mass of 1,500 kg, which compresses by 10 cm, is calculated using the formula k = F/x. The total force (F) exerted by the car is 15,000 N, derived from the weight (mg), where g is 10 m/s². Dividing the total spring constant of 150,000 N/m by the number of springs results in a spring constant of 37,500 N/m for each spring, confirming the calculations are correct.

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  • Understanding of Newton's laws of motion
  • Familiarity with Hooke's Law
  • Basic knowledge of force and weight calculations
  • Ability to manipulate units of measurement (N, kg, m)
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  • Study Hooke's Law in detail to understand spring behavior
  • Learn about the dynamics of suspension systems in vehicles
  • Explore the impact of spring constants on vehicle handling and comfort
  • Investigate the calculations involved in multi-spring systems
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HBurch614
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Homework Statement


A car with a mass of 1,500 kg sits on a suspension system that has four springs. When the mass of the car was originally placed on the springs, they compressed by 10 cm. What is the spring constant for each spring?

Homework Equations


k = F/x or k = mg/x

The Attempt at a Solution


k = (1500kg)(10) / .1m
= 150,000
keach spring = 150,000 / 4
= 37,500 n/m
Is this correct??
 
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Don't see anything wrong.
 
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Bystander said:
Don't see anything wrong.
Thank you, I was unsure!
 

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