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How do you calculate how far a spring will stretch?

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How do you calculate how far a spring will stretch?

Hooke’s Law tells us that the extension of the spring is directly proportional to the stretching force:

  1. F=kx.
  2. F=mg=0.04×9.81=0.3924N.
  3. ∴ 0.3924=30×x.
  4. x=0.392430=0.01308m.
  5. 0.20+0.01308=0.21308m.
  6. =21.3cm.

How do you calculate the elastic potential energy of a spring?

Energy stored in a spring

  1. Work is done when a spring is extended or compressed . Elastic potential energy is stored in the spring.
  2. The elastic potential energy stored can be calculated using the equation:
  3. elastic potential energy = 0.5 × spring constant × (extension) 2

What is the formula for the force of a spring?

F = -kx
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.

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How do you find the spring constant in an experiment?

Experiment: Find the spring constant

  1. The spring constant of a spring can be found by carrying out an experiment.
  2. The unloaded length of a spring is measured.
  3. Slotted masses are added to the spring.
  4. Record each stretching force in N and the corresponding length of the spring.

What is K in spring potential energy?

The letter k is used for the spring constant, and it has the units N/m. Like all work and energy, the unit of potential energy is the Joule (J), where 1 J = 1 N∙m = 1 kg m2/s2 .

What is the work done formula?

Scientifically Work done formula will be given as, W = F * d: In this case, the force exerting on the block is constant, but the direction of force and direction of displacement influenced by this force is different.

What is the formula for work being done?

To express this concept mathematically, the work W is equal to the force f times the distance d, or W = fd. If the force is being exerted at an angle θ to the displacement, the work done is W = fd cos θ.

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What is the spring constant of a spring?

Spring constant is a measure of the stiffness of a spring up to its limit of proportionality or elastic limit. The limit of proportionality refers to the point beyond which Hooke’s law is no longer true when stretching a material.

How do you calculate the displacement of a spring in physics?

Choose a value of spring constant – for example, 80 N/m. Determine the displacement of the spring – let’s say, 0.15 m. Substitute them into the formula: F = -kΔx = -80 * 0.15 = 12 N. Check the units!

How do you calculate the number of N in a spring?

Choose a value of spring constant – for example 80 N/m. Determine the displacement of the spring – let’s say, 0.15 m. Substitute them into the formula: F = -k*x = -80*0.15 = 12 N. Check the units!

How do you find the spring constant of a spring?

The spring constant is given as: \\(k=-\\frac{F}{x}\\) = – 2 / 0.4= – 5 N/m. Example 2 A boy weighing 20 pounds stretches a spring by 50 cm. Determine the spring constant of the spring. Solution: Given: Mass m = 20 lbs = 20 / 2.2 = 9.09 Kg. Displacement x = 50 cm. The force F = ma = 9.09 × 9.8 = 89.082 N. The spring constant formula is given by:

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What is the formula of spring constant in Hooke’s law?

According to Hooke’s law, the force required to compress or extend a spring is directly proportional to the distance it is stretched. The formula of spring constant is given as: Where, F is the restoring force of the spring directed towards the equilibrium. k is the spring constant in N.m -1.