Kinetic and Potential Energy Calculator
Compute kinetic energy, potential energy, or total mechanical energy using mass, velocity, height, and gravity. Supports SI units and step-by-step solutions.
kinetic & potential energy calculator:
This Kinetic and Potential Energy Calculator will find the value of the energy of a moving or high object. The formula requires one to enter the mass, velocity, height, and gravity to compute kinetic energy, potential energy, and total mechanical energy. Outputs are step-by-step formulas, unit conversions, and total energy verification.
Mechanical Energy Tool Formula:
The Kinetic and Potential Energy Calculator enables one to calculate the energy of a moving or raised object within a system. The kinetic energy (KE) and the potential energy (PE) are predictable as follows: KE = ½mv2, PE m g h, where m is mass, g is gravity, and h is height. Unknown variables of mass, velocity, or height can be calculated when the value of energy is known. It also calculates the total mechanical energy (TE = KE + PE) of systems that do not lose energy (idyllic).
The tool accommodates the SI units: mass in kg, velocity in m/s, height in m, gravity in m/s 2, and energy in Joules (J). Solution by steps can assist students, teachers, and engineers to learn calculations. The optional features are conversion of units, printable results, and example presets of common situations such as free-falling objects, lifted weights, and moving vehicles.
⚡ Work & Installation Input to Output:
Input: mass (m), velocity (v), height (h), gravity (g, default 9.81 m/s²).
Processing:
- Validate numeric input values.
- Convert units to SI.
- Apply formulas:
- KE = ½ m v²
- PE = m g h
- TE = KE + PE
- Solve for unknowns when possible (e.g., height from PE or velocity from KE).
Output:
- Numeric results for KE, PE, and TE in Joules.
- Step-by-step formula substitution.
- Optional unit conversions (J ↔ N·m).
- Printable summary for labs or homework.
Testing and Final Adjustments
Test the calculator using representative examples:
- Mass = 2 kg, v = 3 m/s → KE = 9 J
- Mass = 5 kg, h = 2 m → PE = 98.1 J
- Verify TE = KE + PE consistency.
Check unit conversions, step-by-step solution clarity, and edge cases (mass = 0, velocity = 0, height = 0). Test UX: numeric keypad on mobile, field labels, error messages for missing or invalid inputs. Include example presets (falling objects, moving vehicles). Validate printable results and ensure formulas and results are accurate. Optimize SEO metadata with keywords: "Kinetic and Potential Energy Calculator," "KE," "PE," "Mechanical energy," and schema markup.
Frequently Asked Questions - Kinetic and Potential Energy Calculator:
What is kinetic energy?
Kinetic energy is the energy of motion, calculated as KE = ½ m v².
What is potential energy?
Potential energy is the energy of position, calculated as PE = m g h.
How do I calculate total mechanical energy?
TE = KE + PE, the sum of kinetic and potential energy in a system.
Can I calculate velocity from kinetic energy?
Yes, v = √(2 KE / m).
Can I calculate height from potential energy?
Yes, h = PE / (m g).
What units are supported?
Mass in kg, velocity in m/s, height in m, gravity in m/s², energy in Joules (J).
Is step-by-step solution available?
Yes, formulas and calculations are shown step-by-step.
Can I find mass from energy?
Yes, m = 2 KE / v² for kinetic energy or m = PE / (g h) for potential energy.
Who should use this calculator?
Students, teachers, engineers, and physics enthusiasts studying energy and motion.
Does it support total energy verification?
Yes, it calculates TE = KE + PE to check energy consistency.
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