Spring Stretch in Car Towing: How Far Does the Spring Extend?

In summary, the spring between the car and the trailer is stretched by 0.012m due to the car's acceleration of 0.3 m/s² and the spring constant of 2300 N/m. This solution assumes that the acceleration is constant and the length of the spring remains unchanged.
  • #1
zachattackback
9
0

Homework Statement


A car towing a 92 kg trailor with a spring between the car and the trailor. the accelertion of the car is .3. the spring constant is 2300
how far is the spring stretched


Homework Equations


Fs=kx


The Attempt at a Solution



Fs=kx
ma=kx
(92)(.3)=2300x
x=.012m

i am not sure if that was legal
 
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  • #2
zachattackback said:

Homework Statement


A car towing a 92 kg trailor with a spring between the car and the trailor. the accelertion of the car is .3. the spring constant is 2300
how far is the spring stretched


Homework Equations


Fs=kx


The Attempt at a Solution



Fs=kx
ma=kx
(92)(.3)=2300x
x=.012m

i am not sure if that was legal

It is legal, but it rests on several assumptions.

1) That the units of a are m/s²

2) That the units of k are N/m

3) That the acceleration of the trailor is constant- the length of the spring is constant. In reality, it would not be if the car started moving with constant acceleration at some point in time.
 
  • #3
thanks for the help
 

Related to Spring Stretch in Car Towing: How Far Does the Spring Extend?

1. How do springs affect the motion of a car?

Springs play a crucial role in the suspension system of a car, which helps to absorb shocks and maintain stability while driving. When a car hits a bump or uneven surface, the springs compress and release, providing a smooth ride for the passengers and preventing damage to the car.

2. How does the stiffness of a spring impact the car's motion?

The stiffness or "spring rate" of a spring determines how much force is required to compress or extend it. In a car, a stiffer spring will provide a firmer suspension, making the car more stable and less prone to body roll. However, a softer spring will give a smoother ride but may compromise handling.

3. What is the difference between coil springs and leaf springs in a car?

Coil springs are cylindrical and are typically found in the front suspension of a car. They provide a more responsive and adjustable ride. Leaf springs, on the other hand, are composed of layers of metal strips and are commonly used in the rear suspension of trucks and older cars. They offer a more rigid suspension but can be less comfortable for passengers.

4. How does the motion of a car affect the springs?

The motion of a car, particularly when driving over rough terrain or at high speeds, can cause the springs to compress and extend rapidly. This puts stress on the springs and can lead to wear and tear over time. Regular maintenance and replacement of worn springs can ensure the car's suspension continues to function properly and provide a smooth ride.

5. Can the motion of a car be affected by the type of springs used?

Yes, the type of springs used in a car can significantly impact its motion. As mentioned earlier, stiffer springs provide better stability and handling, while softer springs offer a smoother ride. Additionally, the location and orientation of the springs can also affect the car's motion, as well as the weight and distribution of the car's components.

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