Calculating Spring Stretch for a Car & Trailer

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SUMMARY

The discussion focuses on calculating the stretch of a spring connecting a car to an 88 kg trailer, with a spring constant of 2350 N/m and an acceleration of 0.29 m/s². The correct formula used is F = kx, where F is the force exerted by the trailer due to acceleration. The solution derived was x = -0.01085957 m, which was confirmed to be correct after adjusting for the sign, as the stretch should be expressed as a positive value.

PREREQUISITES
  • Understanding of Hooke's Law (F = kx)
  • Basic knowledge of Newton's second law of motion (F = ma)
  • Familiarity with units of measurement in physics (N/m, kg, m/s²)
  • Ability to solve algebraic equations
NEXT STEPS
  • Review Hooke's Law applications in real-world scenarios
  • Explore the effects of varying spring constants on stretch
  • Learn about dynamics involving multiple connected objects
  • Investigate the impact of acceleration on force and displacement
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and spring dynamics, as well as educators seeking to clarify concepts related to force and motion.

GeoKenshin
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Homework Statement



A car is hauling an 88 kg trailer, to which it is connected by a spring. The spring constant is 2350 N/m. The car accelerates with an acceleration of 0.29 m/s^2. By how much does the spring stretch?

Homework Equations



Fx -kx

The Attempt at a Solution



Fx -kx

88(.29) = -2350x

x = -0.01085957

This seems right. I tried -.0109 and .-01086 but no luck with that either. Am I using the wrong formula?
 
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GeoKenshin said:

Homework Statement



A car is hauling an 88 kg trailer, to which it is connected by a spring. The spring constant is 2350 N/m. The car accelerates with an acceleration of 0.29 m/s^2. By how much does the spring stretch?

Homework Equations



Fx -kx

The Attempt at a Solution



Fx -kx

88(.29) = -2350x

x = -0.01085957

This seems right. I tried -.0109 and .-01086 but no luck with that either. Am I using the wrong formula?


Your method is correct. Maybe try dropping the negative. (They may be looking for a positive value for how far the spring stretched.)
 
that worked. thanks.
 
Anytime.:smile:
 

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