What is the spring constant of the spring

In summary, the spring constant, also known as the force constant, is a measure of the stiffness of a spring and is calculated by dividing the applied force by the displacement of the spring. It is affected by the material and geometry of the spring, as well as temperature and external forces. The most common unit of measurement for spring constant is newtons per meter, and it is important in determining the behavior and performance of a spring in various applications.
  • #1
noname1
134
0
A spring elongates 0.05m when a 50N is applied to it

a) What is the spring constant of the spring

b) How long would the spring elongate if a 10kg mass is hung from the spring

c) If the energy stored in the spring of parts a) and b) is given by

E=0.5kx², how much energy is stored in the spring mass system of part b) g=10m/s²

I got a) which is k = 1000 N/m

b) i believe is 0.098m, k=m*g/k

c) is 4.802

I just want to verify if these are correct
 
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  • #2


I agree with those answers.
 
  • #3


by the way what are the units for c?
 
  • #4


The unit of energy is the Joule.
According to E = ½mv², a Joule (J) is equivalent to a kg⋅m²/s².
 

FAQ: What is the spring constant of the spring

What is the spring constant of the spring?

The spring constant, also known as the force constant, is a measure of the stiffness of a spring. It represents the amount of force required to stretch or compress a spring by a certain length. The unit of measurement for spring constant is newtons per meter (N/m).

How do you calculate the spring constant?

The spring constant can be calculated by dividing the applied force by the displacement of the spring. This can be represented by the equation F = kx, where F is the force applied, k is the spring constant, and x is the displacement of the spring.

What factors affect the spring constant?

The spring constant is affected by the material and geometry of the spring. In general, stiffer materials and smaller spring dimensions result in a higher spring constant. Temperature and external forces can also affect the spring constant.

What are some common units of measurement for spring constant?

The most common unit of measurement for spring constant is newtons per meter (N/m). However, it can also be expressed in other units such as pounds per inch (lb/in) or dynes per centimeter (dyn/cm).

Why is the spring constant important?

The spring constant is important because it helps determine the behavior and performance of a spring. It is used in various applications, such as in designing springs for specific purposes or calculating the amount of force needed for a spring to achieve a certain displacement.

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