Back
Kinetic Energy – GED Science
What Is Kinetic Energy?
⚡

Kinetic Energy = Energy of Motion

Any object that is moving has kinetic energy. The faster it moves, or the more massive it is, the more kinetic energy it carries. A parked car has zero kinetic energy. That same car at highway speed has enormous kinetic energy.

⚙️ The Formula — KE = ½ × m × v²
KE = ½ × m × v²
KE Kinetic Energy Joules (J)
m Mass kilograms (kg)
v² Velocity squared m/s then squared
💡

Memory trick: Think of KE as "half the mass times speed-squared." The two things that matter are how heavy the object is and how fast it's going — but speed matters twice as much because it's squared.

Two Things That Determine KE
⚖️
Mass
The heavier the object, the more kinetic energy it has at the same speed. A truck and a bicycle going 30 mph — the truck has far more KE.
Doubles KE when doubled
🚀
Velocity (Speed)
Speed is squared in the formula — so doubling speed quadruples kinetic energy. This is why high-speed car crashes are so devastating.
Quadruples KE when doubled
⚡ Why Speed Is Squared — A Visual Comparison (m = 1 kg)
10 m/s
50 J
50 J
20 m/s
200 J
200 J
30 m/s
450 J
450 J
40 m/s
800 J
800 J
50 m/s
1,250 J
1,250 J
Speed doubled from 10→20: KE went from 50→200 (×4). Speed tripled from 10→30: KE went from 50→450 (×9). Speed is squared — so small speed increases = huge KE increases.
How Kinetic Energy Gets Transferred
🎱 What Happens to KE During a Collision?
🎱
Moving ball has KE
Original KE
→
hits
🎱
Other ball moves — KE transferred
Transferred KE
+
also
🌡️
Friction → Heat energy
Heat
+
and
🔊
Impact → Sound energy
Sound
Kinetic Energy vs. Potential Energy
⚡ Kinetic Energy
Energy an object has because it is moving. Requires motion.
  • A rolling bowling ball
  • A flying airplane
  • Water flowing in a river
  • A thrown baseball
🏔️ Potential Energy
Energy stored due to position or condition. Waiting to be released.
  • A rock perched on a cliff
  • A stretched rubber band
  • Water behind a dam
  • A coiled spring
Everyday Examples of Kinetic Energy
⚽
Rolling Ball
A soccer ball kicked hard has more KE than one gently rolled — faster speed = more KE.
KE depends on speed²
✈️
Flying Airplane
A large plane at 500 mph has enormous KE — both its massive size and high speed contribute.
High mass + high speed
🌊
Flowing River
Moving water has kinetic energy — fast-flowing rapids can move boulders and generate electricity.
Used in hydroelectric power
🔥
Vibrating Molecules
Even inside a warm object, molecules are moving rapidly — that microscopic motion is kinetic energy we feel as heat.
Thermal energy = KE at molecular scale

Key Points to Remember

⚡

Kinetic energy is the energy of motion — any moving object has it.

📐

Formula: KE = ½ × m × v² — mass in kg, velocity in m/s, KE in Joules.

🚀

Velocity is squared — doubling speed quadruples kinetic energy.

🎱

KE can be transferred to other objects or converted to heat, sound, or light.

🏔️

Kinetic energy and potential energy together make up an object's total mechanical energy.

KE Calculator & Worked Examples
🔢

Try the Formula Yourself

Enter any mass and velocity to calculate kinetic energy. The calculator shows you the step-by-step work so you can see exactly how the formula is applied.

⚡ KE = ½ × m × v² — Enter Your Values
KINETIC ENERGY
—Joules
How KE Changes with Speed — 10 kg Object
Worked Example Scenarios
🚗 Scenario 1 — Car at 20 m/s (about 45 mph), mass = 1,000 kg

KE = ½ × 1,000 × 20² = ½ × 1,000 × 400 = 200,000 Joules (200 kJ)

Now double the speed to 40 m/s:

KE = ½ × 1,000 × 40² = ½ × 1,000 × 1,600 = 800,000 Joules (800 kJ)

🔑 Doubling speed (20→40 m/s) quadrupled KE (200,000→800,000 J). This is why speed limits save lives.

⚽ Scenario 2 — Soccer ball, mass = 0.45 kg, velocity = 30 m/s

KE = ½ × 0.45 × 30² = ½ × 0.45 × 900 = 202.5 Joules

🔑 A relatively light ball moving fast still carries significant kinetic energy — enough to be felt on impact.

🛑 Scenario 3 — Parked car, mass = 1,200 kg, velocity = 0 m/s

KE = ½ × 1,200 × 0² = ½ × 1,200 × 0 = 0 Joules

🔑 No motion = no kinetic energy. A stationary object, no matter how massive, has zero KE. It may have potential energy, but not kinetic.

Practice Quiz · Kinetic Energy

Test Your Understanding

Question 1 of 8 Score: 0 / 0
Insert math as
Block
Inline
Additional settings
Formula color
Text color
#333333
Type math using LaTeX
Preview
\({}\)
Nothing to preview
Insert