## How do you calculate the work required to stretch a spring?

The blue line represents the graph of F = kx (Hooke’s Law). We know that the area shaded in red represents the work you would need to do to stretch the spring a distance x from its rest position. Since this area is a triangle, the shaded area = (1/2)(base)(height) = (1/2)(x)(kx) = (1/2)kx2.

## How do you find the maximum stretch of a spring?

Answer: The total energy must be conserved, so ½ mv2 + mgh + ½ kx2 before the mass is released must be equal to ½ mv2 + mgh + ½ kx2 after the spring reaches its maximum point of stretch.

**How do you find the height of a spring?**

For an unground spring, the solid height, h1, is (n+1)d, where n is the number of coils and d is the wire diameter (including platings and coating) in inches. For springs that are ground but not squared, the height, h2, is (n-1)d. Springs that are ground and squared, the solid height, h3, is (n-0.75)d.

### How much should the spring be compressed?

The rate of your spring is the amount of force needed to travel 1 inch of distance. Lets say your rate is 1 pound; then it will take you 1 pound of force to travel 1 inch of distance, 2 pounds of force to compress your spring 2 inches of distance, and so on.

### How many meters spring compressed?

By how many meters was the spring compressed? (Ans.: 1.68 m) What is the velocity of the block just as it touches the spring? (Ans.: 3.90 m/s)

**What is spring constant measured in?**

newtons per metre

## What is the SI unit of spring constant k?

k is a constant called the rate or spring constant (in SI units: N/m or kg/s2).

## How do you find the original length of a spring?

It is impossible to find the unloaded length of a spring with only the load and extended length and in the absense of spring constant. According to Hooke’s law, F(force) = kX, where “k” is the spring constant defining the spring’s stiffness, and “X” is the enlongation in spring.

**What is the effective mass of the spring?**

The effective mass of a spring which is uniform along its length (not tapered or distorted by use) is equal to one-third of its actual mass. For a non-uniform spring, the effective mass can vary slightly with the attached mass; we will disregard this small variation.

### Does the mass of the spring matter?

The period of oscillation of a simple pendulum does not depend on the mass of the bob. By contrast, the period of a mass-spring system does depend on mass. For a mass-spring system, the mass still affects the inertia, but it does not cause the force. The spring (and its spring constant) is fully responsible for force.

### How do you calculate period T?

The formula for the period T of a pendulum is T = 2π Square root of√L/g, where L is the length of the pendulum and g is the acceleration due to gravity.

**What is the formula of frequency and time period?**

The formula for frequency is: f (frequency) = 1 / T (period). f = c / λ = wave speed c (m/s) / wavelength λ (m). The formula for time is: T (period) = 1 / f (frequency). λ = c / f = wave speed c (m/s) / frequency f (Hz).

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