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

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)

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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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