Final Potential Energy Calculator

The Final Potential Energy Calculator helps you find how much energy an object stores due to its position or condition. This is useful in physics, engineering, and design when working with objects at different heights or with elastic materials like springs. By using this calculator, you can check energy states for safe designs, calculate required supports, or understand how much energy can be converted to motion later. This tool belongs to Physics and Engineering Calculators and supports accurate, evidence-based calculations for students and professionals.

formula of Final Potential Energy Calculator

1. For gravitational potential energy:

Final Potential Energy (PE) = m × g × h

Where:

• PE = final gravitational potential energy (joules, J)
• m = mass of the object (kg)
• g = gravitational acceleration (9.81 m/s² on Earth)
• h = final height from the reference level (m)

This is common for objects lifted above the ground, like an elevator or a raised load.

2. For elastic potential energy (springs or elastic objects):

Final Potential Energy (PE) = (1/2) × k × x²

Where:

• PE = elastic potential energy (joules, J)
• k = spring constant (N/m)
• x = final stretch or compression distance from its rest position (m)

This applies to springs, rubber bands, or any elastic mechanism.

Common Final Potential Energy Reference Table

Here’s a handy table for quick context:

Example of Final Potential Energy Calculator

Let’s work through two practical examples.

Example 1: Gravitational Potential Energy

A box of mass 10 kg is lifted to a shelf 2.5 meters high.

PE = m × g × h
= 10 kg × 9.81 m/s² × 2.5 m
= 245.25 J

So, the box has 245.25 joules of gravitational potential energy.

Example 2: Elastic Potential Energy

A spring has a spring constant of 200 N/m and is compressed by 0.15 meters.

PE = (1/2) × k × x²
= 0.5 × 200 × (0.15)²
= 0.5 × 200 × 0.0225
= 2.25 J

The spring stores 2.25 joules of elastic energy.

Most Common FAQs