Physics Gravity Caluculator
GRAVITY
What is a Gravity Calculator?
A Gravity Calculator is a specialized physics tool used to compute the force of attraction between masses, weight on different planets, and motion under free fall.
- ✓ Calculates Weight (W = mg) instantly
- ✓ Solves Free Fall Time & Velocity
- ✓ Features Multi-Planet Gravity presets
- ✓ Essential for Physics Students & Engineers
What is Free Fall Time (t)?
The FALL t function calculates the exact duration an object takes to hit the ground from a specific height, governed solely by gravitational acceleration.
- → Input Height (h) in meters
- → Uses the formula: t = √(2h / g)
- → Adjusts based on Planet Selection
- → Critical for physics kinematics and drop tests
What is Impact Velocity?
Impact Velocity (v) is the final speed an object reaches the instant before it strikes a surface. It represents the total transformation of potential energy into kinetic motion.
- ⚡ Calculated using: v = √(2gh)
- ⚡ Measures the Intensity of a collision
- ⚡ Increases with Height and Gravity
- ⚡ Critical for ballistics and safety testing
What is Potential Energy (PE)?
The ENG PE function calculates the energy stored in an object due to its vertical position or height. It measures the work done against gravity.
- ◈ Result measured in Joules (J)
- ◈ Formula: PE = m * g * h (Mass × Gravity × Height)
- ◈ Analyzes energy storage in Mechanical Systems
- ◈ Used in Hydro-power, Construction, and Rollercoasters
Gravity on Earth
Earth's gravity is the force that keeps our atmosphere in place and our feet on the ground. It is the standard reference point for all gravitational calculations.
- 🌍 Standard Acceleration: g ≈ 9.81 m/s²
- 🌍 Varies slightly based on Altitude & Latitude
- 🌍 The "G-Force" felt at sea level is exactly 1G
- 🌍 Used as the baseline for The Oat presets
Gravitational Acceleration (g)
Acceleration due to gravity is the constant rate at which an object's velocity increases as it falls toward a massive body like Earth.
- ➜ Constant gain of 9.81 m/s every second
- ➜ Calculated using g = Δv / Δt
- ➜ Independent of the object's Mass (Galileo's Principle)
- ➜ Essential for calculating Force (F=ma)
Advanced Gravity Terms
Beyond basic weight, gravity involves complex concepts that govern orbital mechanics and deep space travel.
- ✦ Escape Velocity: The speed needed to break free from a planet's pull.
- ✦ Inverse Square Law: Gravity weakens rapidly as distance increases.
- ✦ Center of Gravity: The average location of the weight of an object.
- ✦ Weightlessness: The sensation of zero-g during free fall or orbit.
Mass vs. Weight
One of the most misunderstood concepts in physics. While Mass is the amount of matter in you, Weight is how hard gravity pulls on that matter.
- ⚖️ Mass (kg): Constant everywhere in the universe.
- ⚖️ Weight (N): Changes based on the planet's gravity.
- ⚖️ On the Moon, you weigh only 16.5% of your Earth weight.
- ⚖️ Your mass remains exactly the same, even in deep space.
Gravity Equation
F = G (m1m2 / r²)
F = Gravitational Force
G = Gravitational Constant
m1, m2 = Masses of objects
r = Distance between centers
Solar System Gravity Profile
| Celestial Body | Gravity (m/s²) | Relative to Earth | Weight of 10kg | Escape Vel. |
|---|---|---|---|---|
| 🌍 Earth | 9.81 | 1.00x | 98.1 N | 11.2 km/s |
| 🌑 Moon | 1.62 | 0.16x | 16.2 N | 2.4 km/s |
| 🔴 Mars | 3.72 | 0.38x | 37.2 N | 5.0 km/s |
| 🌀 Jupiter | 24.79 | 2.53x | 247.9 N | 59.5 km/s |
| 🪐 Saturn | 10.44 | 1.06x | 104.4 N | 35.5 km/s |
| ☀️ Sun | 274.0 | 27.9x | 2740 N | 617.5 km/s |