Elastic Force and Elastic Potential Energy Calculator

The Elastic Force and Elastic Potential Energy Calculator is provided in support of our Physics Tutorials on Kinematics and Work, Energy and Motion which explores Motion, the different types of energy, kinetic energy, gravitational potential energy, elastic potential energy. power and efficiency with practical working examples and formula. A list of the supporting Work and Energy Physics Tutorials is available at the bottom of this page. This calculator will calculate:

Deformation of a spring when its initial and final lengths are given
The elastic (restoring) force of a spring when it is stretched or compressed
The elastic potential energy stored in a stretched or compressed spring

Elastic Force and Elastic Potential Energy Calculator
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Calculator Precision (Decimal Places)
Spring constant (k) N/m
Initial length of the spring (L₀) m
Final length of the spring (L) m

Results (detailed calculations and formula below)
Deformation (x) m
Elastic Force (F_e) N
Elastic Potential Energy (EPE) J

Note: If the question you are looking to answer provides the value of deformation x, please write two random values for the initial and final length of the spring that fit the description. For example, if the question says, "the spring is stretched by 20 cm", you can insert the values 0.5 for L₀ and 0.7 for L as x = L - L₀ = 0.7 m - 0.5 m = 0.2 m = 20 cm.

Please note that the formula for each calculation along with detailed calculations is shown further below this page. As you enter the specific factors of each elastic force and elastic potential Energy calcualtion, the Elastic Force and Elastic Potential Energy Calculator will automatically calculate the results and update the formula elements with each element of the force calculation. You can then email or print this elastic force and elastic potential Energy calculation as required for later use offline.

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Deformation Formula and Calculation

x = L - L₀
x = -
x = m (metre)

Elastic Force Formula and Calculation

F_e = -k × (L - L₀)
F_e = - × ( - )
F_e = N (Newton)

Elastic Potential Energy Formula and Calculation

EPE = k × L - L₀/2
EPE = × - /2
EPE = J (Joule)

Kinematics Physics Tutorials associated with the Elastic Force and Elastic Potential Energy Calculator

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