Math & Numbers

Spring Compression Energy Calculator

Calculate the elastic potential energy and force of a spring in compression or extension. U = ½·k·x², F = k·x. Solve energy from displacement, or displacement from energy.

json· JSON resultOpen tool

Quick start

Call this tool from your code in three languages.

cURL

curl -X POST 'https://api.elysiatools.com/en/api/tools/spring-compression-energy' \
  -H 'Content-Type: application/json' \
  -d '{"mode":"energy","k":10,"x":20,"U":0,"decimalPlaces":4}'

API reference

Send a POST request with your inputs as JSON. File parameters require a separate upload first.

Endpoint

HTTP

POST https://api.elysiatools.com/en/api/tools/spring-compression-energy

Parameters

Name	Type	Required	Description
mode	select	No	—
k	number	Yes	—
x	number	No	Spring displacement (compression or extension). Required in Energy mode.
U	number	No	Target stored energy. Required in Displacement mode.
decimalPlaces	number	No	—

Response format

MCP integration

Add this tool to your Model Context Protocol server so AI agents can list and call it.

Server configuration

Add this block to your MCP client configuration:

mcp.json

{
  "mcpServers": {
    "elysiatools-spring-compression-energy": {
      "name": "spring-compression-energy",
      "description": "Calculate the elastic potential energy and force of a spring in compression or extension. U = ½·k·x², F = k·x. Solve energy from displacement, or displacement from energy.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=spring-compression-energy",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

List available tools

After connecting to the SSE endpoint, list the exposed tools:

tools/list

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/list"
}

Call this tool

Invoke the tool by its id, passing arguments built from its parameters:

tools/call

{
  "jsonrpc": "2.0",
  "id": 2,
  "method": "tools/call",
  "params": {
    "name": "spring-compression-energy",
    "arguments": {
  "mode": "energy",
  "k": 10,
  "x": 20,
  "U": 0,
  "decimalPlaces": 4
}
  }
}

Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).

Questions or issues? Contact [email protected]

Browse tools Open tool

Name

Type

Required

Description

mode

select

—

number

Yes

—

number

Spring displacement (compression or extension). Required in Energy mode.

number

Target stored energy. Required in Displacement mode.

decimalPlaces

number

—

{ "mcpServers": { "elysiatools-spring-compression-energy": { "name": "spring-compression-energy", "description": "Calculate the elastic potential energy and force of a spring in compression or extension. U = ½·k·x², F = k·x. Solve energy from displacement, or displacement from energy.", "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=spring-compression-energy", "command": "", "args": [], "env": {}, "isActive": true, "type": "sse" } } }

{ "jsonrpc": "2.0", "id": 2, "method": "tools/call", "params": { "name": "spring-compression-energy", "arguments": { "mode": "energy", "k": 10, "x": 20, "U": 0, "decimalPlaces": 4 } } }