Elastic Potential Energy Calculator


Solve for:

Elastic Energy ( U )

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Equation for Elastic Potential Energy is U = 0.5 × k × Δx²

Choose to solve for Elastic Potential Energy ( U ), Spring Constant ( k ), or Displacement ( Δx ).

J

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Elastic Potential Energy

Enter the elastic potential energy in the specified unit (e.g., Joules). Ensure it's a positive number.

N/m

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Spring Constant

Enter the spring constant in the specified unit (e.g., N/m).

m

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Displacement

Enter the displacement in the specified unit (e.g., Meters).

Calculate


Common Elastic Potential Energy Questions

What is the formula for elastic potential energy?

The formula for elastic potential energy is U = 0.5 × k × Δx², where U is energy, k is the spring constant, and Δx is displacement.

What units are used for elastic potential energy?

Elastic potential energy is typically measured in Joules (J).

How is elastic potential energy used in real life?

Elastic potential energy is used in applications like spring-loaded mechanisms, suspension systems, and physics experiments.


Example Elastic Potential Energy Calculation

Example Problem:

A spring has a spring constant of 150 N/m. If the spring is compressed by 0.2 meters from its equilibrium position, how much elastic potential energy is stored in the spring?


Step 1:  Identify the given values

From the problem, we are given:

•   Spring constant:  k = 150 N/m
•   Displacement:  Δx = 0.2m


Step 2:  Write down the formula

The formula for elastic potential energy is:  U = 0.5 × k × Δx²
•   U = Elastic potential energy (in Joules)
•   k = Spring constant (in N/m)
•   Δx = Displacement from equilibrium (in meters)


Step 3:  Substitute the given values

U = 0.5 x (150) x (0.2)²:


Step 4:  Solve the exponent and multiply

(0.2)² = 0.04
U = 0.5 x 150 x 0.04
150 x 0.04 = 6
U = 0.5 x 6 = 3


Final Answer: 

The elastic potential energy stored in the spring is 3 Joules (J).