Kinetic Energy Calculator
Calculate kinetic energy using mass and velocity with the formula KE = ½mv²
Calculate Kinetic Energy
Mass of the object in motion
Speed of the object
Kinetic Energy Results
Formula used: KE = ½mv² = 0.5 × 0.000 kg × (0.000 m/s)²
Input values: Mass: 0.000 kg, Velocity: 0.000 m/s
Alternative units: 0.00 cal, 0.00 ft-lb
Velocity Impact Analysis
Example Calculations
Moving Car Example
Object: Car with mass of 1,500 kg
Velocity: 60 km/h (16.67 m/s)
Calculation: KE = ½ × 1,500 × (16.67)²
Result: KE = 208,361 J ≈ 208.4 kJ
Cricket Ball Example
Object: Cricket ball (165 g = 0.165 kg)
Velocity: 90 mph (40.23 m/s)
Calculation: KE = ½ × 0.165 × (40.23)²
Result: KE = 133.5 J
Bullet Example
Object: Bullet (5 g = 0.005 kg)
Velocity: 1,000 m/s
Calculation: KE = ½ × 0.005 × (1,000)²
Result: KE = 2,500 J
Types of Kinetic Energy
Translational
Motion in a straight line
KE = ½mv²
Rotational
Motion around an axis
KE = ½Iω²
Vibrational
Oscillatory motion
Back and forth motion
Physics Tips
Kinetic energy is always positive (or zero)
Energy increases with the square of velocity
Doubling speed quadruples kinetic energy
Related to momentum by KE = p²/(2m)
Understanding Kinetic Energy
What is Kinetic Energy?
Kinetic energy is the energy possessed by an object due to its motion. It represents the work needed to accelerate a body of a given mass from rest to its stated velocity. This fundamental concept in physics helps us understand how mass and velocity combine to create energy.
Key Properties
- •Always positive or zero (never negative)
- •Depends on reference frame
- •Scalar quantity (no direction)
- •Increases rapidly with velocity
Formula Explanation
KE = ½mv²
- KE: Kinetic Energy (Joules)
- m: Mass of the object (kg)
- v: Velocity of the object (m/s)
- ½: Constant factor from integration
Note: This formula applies to classical mechanics. For high speeds (near light speed), relativistic effects must be considered.
Work-Energy Theorem
The work-energy theorem states that the work done on an object equals the change in its kinetic energy: W = ΔKE = KE₂ - KE₁. This fundamental relationship connects force, displacement, and energy in classical mechanics.
Energy Conservation
In isolated systems, total mechanical energy (kinetic + potential) remains constant.
Momentum Relation
Kinetic energy relates to momentum: KE = p²/(2m) where p is momentum.
Temperature Connection
Average kinetic energy of particles is proportional to absolute temperature.