Calculating Spring Stretch for a Car & Trailer

In summary, the car, hauling an 88 kg trailer connected by a spring with a spring constant of 2350 N/m, accelerates at a rate of 0.29 m/s^2. The spring stretches by -0.01085957 meters, but a positive value may also be used.
  • #1
GeoKenshin
8
0

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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  • #2
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.)
 
  • #3
that worked. thanks.
 
  • #4
Anytime.:smile:
 

1. How do you calculate the spring stretch for a car and trailer?

To calculate the spring stretch for a car and trailer, you will need to know the weight of the car and trailer, the spring constant of the springs, and the distance between the springs. The formula for calculating spring stretch is: spring stretch = (weight of car and trailer * distance between springs) / spring constant.

2. What is the purpose of calculating spring stretch for a car and trailer?

The purpose of calculating spring stretch is to determine the load and stress that the springs will experience when carrying a car and trailer. This information is important for ensuring that the springs are strong enough to support the weight and that they are not overworked, which could lead to failure.

3. How do you determine the weight of a car and trailer for calculating spring stretch?

The weight of a car and trailer can be determined by using a scale or by consulting the manufacturer's specifications. It is important to include the weight of both the car and the trailer, as well as any cargo or passengers that will be carried.

4. What is the spring constant and how do you find it?

The spring constant is a measure of the stiffness of a spring and is represented by the letter "k" in the spring stretch formula. It can be found by dividing the force applied to the spring by the amount of stretch it experiences. This value is typically provided by the manufacturer or can be determined through testing.

5. Are there any safety precautions to consider when calculating spring stretch for a car and trailer?

Yes, it is important to make sure that the springs being used are rated for the weight of the car and trailer, and that they are installed correctly. It is also important to regularly inspect and maintain the springs to ensure they are in good working condition. If the springs are showing signs of wear or damage, they should be replaced before use to avoid any potential safety hazards.

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