⚡ Energy Calculator
Calculate kinetic energy, potential energy, and work with comprehensive analysis
Formula
Where KE is kinetic energy (J), m is mass (kg), and v is velocity (m/s)
⚡ Energy Calculator Guide
Understanding kinetic energy, potential energy, and work
What is Energy?
Energy is the capacity to do work or cause change. It exists in many forms and follows the law of conservation of energy.
Conservation of Energy
Energy cannot be created or destroyed, only transformed from one form to another. The total energy in a closed system remains constant.
Energy Types
- • Kinetic Energy: Energy of motion
- • Potential Energy: Stored energy
- • Work: Energy transfer through force
Kinetic Energy
KE = ½mv²
m = mass (kg)
v = velocity (m/s)
Energy of moving objects
Potential Energy
PE = mgh
m = mass (kg)
g = gravity (9.81 m/s²)
h = height (m)
Energy due to position
Work Done
W = F × d
F = force (N)
d = distance (m)
Energy transferred by force
Energy Transformations
Falling Object
Potential energy → Kinetic energy
As height decreases, speed increases
Pendulum
PE ↔ KE (back and forth)
Maximum PE at highest points, maximum KE at bottom
Spring
Elastic PE ↔ KE
Compressed spring releases kinetic energy
Example Calculations
Kinetic Energy Example
A 5 kg object moving at 10 m/s
KE = ½ × 5 × 10² = ½ × 5 × 100
KE = 250 J
Potential Energy Example
A 2 kg object at 15 m height
PE = 2 × 9.81 × 15
PE = 294.3 J
Work Example
20 N force over 5 m distance
W = 20 × 5
W = 100 J
Real-World Applications
Hydroelectric Power
Water's potential energy → electrical energy
Vehicle Safety
Kinetic energy absorption in crashes
Sports
Optimizing athlete performance
Roller Coasters
PE/KE conversion for thrills
Energy Units & Conversions
Common Units
• Joule (J) - SI unit
• Calorie (cal) - heat energy
• Kilowatt-hour (kWh) - electrical
• Foot-pound (ft⋅lb) - imperial
Useful Conversions
• 1 cal = 4.184 J
• 1 kWh = 3.6 × 10⁶ J
• 1 ft⋅lb = 1.356 J
Problem-Solving Tips
- • Identify the type of energy involved
- • Check units for consistency
- • Apply conservation of energy
- • Consider energy losses (friction, air resistance)
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