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What is the equation for the work done of a spring when it is stretched?
Let the spring be stretched through a small distance d x dx dx. Then work done in stretching the spring through a distance d x dx dx is d W = F d x , dW=Fdx, dW=Fdx, where F is the force applied to stretch the spring.
How do you use Hooke’s law formula?
Mathematically, Hooke’s law states that the applied force F equals a constant k times the displacement or change in length x, or F = kx.
How do you calculate spring k?
The formula to calculate the spring constant is as follows: k= -F/x, where k is the spring constant. F is the force and x is the change in spring’s length. The negative sign indicates that work is done against the restoring force.
How do you calculate spring compression distance?
Compression of spring when an object of given mass is placed on…
- x=(mg)/k.
- mgx=(kx2)/2.
- x=(2mg)/k.
How do you calculate the extension of a spring?
F = ke
- F is the force in newtons (N)
- k is the ‘spring constant’ in newtons per metre (N/m)
- e is the extension in metres (m)
- This equation holds as long as the limit of proportionality is not exceeded.
How do you calculate spring constant and distance?
with k the spring constant, so: dW=kxdx. For a total displacement x: W=∫W0dW=∫x0kxdx=kx22.
How do you calculate spring stiffness?
F = -kx. The proportional constant k is called the spring constant. It is a measure of the spring’s stiffness. When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position.
How do springs and elastic materials stretch?
Robert Hooke investigated how springs and elastic materials stretch. Hooke’s Law states that the force needed to compress or extend a spring is directly proportional to the distance you stretch it.
How do you calculate spring force from Hooke’s law?
Spring force equation. Knowing the Hooke’s law, we can write it down it the form of a formula: F = -k*x. where: F is the spring force (in N), k is the spring constant (in N/m) and.
How does Hooke’s law relate to elasticity?
To put a number to elasticity, we use the spring constant. The spring constant is a number that represents how much force it takes to stretch a material — materials with larger spring constants are stiffer. Hooke’s Law tells us how this spring constant relates to the force we need to apply to stretch the object.
How much force is required to stretch and hold the spring?
A spring has a natural length of 3 0 30 3 0 cm. A 5 0 50 5 0 N force is required to stretch and hold the spring at a length of 4 0 40 4 0 cm. How much work is done to stretch the spring from 4 2 42 4 2 cm to 4 8 48 4 8 cm?