Calculate Force Needed to Stretch Spring 48cm: 270 N/m

In summary, the conversation discussed the formula for calculating force needed to stretch a spring, which is F = kx. The spring constant, represented by k, is a measure of the stiffness of a spring. To convert from centimeters to meters, the displacement is divided by 100. The force needed to stretch a spring is directly proportional to the displacement, and this formula is commonly used in engineering and physics for various applications.
  • #1
ross moldvoer
16
0

Homework Statement


What force is necessary to stretch a spring 48 cm, if the spring constant is 270 N/m?

Homework Equations



1/2kx^2

The Attempt at a Solution


tried plugging everything into equation and got 31 but it is wrong. Any help would be greatly appreciated
 
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  • #2
What units came out of your attempt to plug in value to that equation? Did you check to see that they matched what you're looking for?

Look for a more relevant Relevant equation. Hint: Hooke's Law.
 
  • #3
The quantity you're looking for is force. The quantity your equation gives you is?
 

Related to Calculate Force Needed to Stretch Spring 48cm: 270 N/m

1. How do you calculate the force needed to stretch a spring?

The formula for calculating force needed to stretch a spring is F = kx, where F is the force in newtons, k is the spring constant in newtons per meter (N/m), and x is the displacement in meters.

2. What is the spring constant?

The spring constant, represented by k, is a measure of the stiffness of a spring. It is the amount of force required to stretch a spring by one meter.

3. How do you convert the displacement in centimeters to meters?

To convert from centimeters (cm) to meters (m), divide the number of centimeters by 100. In this case, the displacement of 48cm would be converted to 0.48m.

4. Can you explain how the force needed to stretch a spring changes with the displacement?

The force needed to stretch a spring is directly proportional to the displacement. This means that as the displacement increases, the force needed to stretch the spring also increases. This is represented by the formula F = kx, where x is the displacement and k is the spring constant.

5. How can I use this formula in real life?

The formula for calculating force needed to stretch a spring is commonly used in engineering and physics, particularly in designing and testing springs for various applications. It can also be used in everyday situations, such as measuring the force needed to stretch a rubber band or a bungee cord.

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