What is Mass vs Weight: Kilograms, Pounds & Force Units?
Mathematical Foundation
Laws & Principles
- Mass vs. Weight: Mass (kg) is the measure of matter — your 70 kg body has 70 kg of mass everywhere, including on the Moon. Weight is the gravitational force acting on that mass: on Earth, 70 kg × 9.81 m/s² = 686.7 N. On the Moon (g=1.62 m/s²), your weight drops to 113.4 N — but your mass remains 70 kg. A 'scale' in everyday use measures weight force, then divides by g to display kg.
- The Pound Confusion: In everyday American usage, 'pound' means pound-mass (lbm) — 1 lb = 0.453592 kg exactly by international definition. However, aerospace and mechanical engineers also use 'pound-force' (lbf), where 1 lbf = the force that g exerts on 1 lbm = 4.44822 N. A 'ton' adds another layer: metric ton = 1,000 kg, US short ton = 2,000 lbs = 907.185 kg, UK long ton = 2,240 lbs = 1,016.05 kg.
Step-by-Step Example Walkthrough
" Converting 150 pounds to kilograms and Newtons of weight force. "
- Mass: 150 lb × 0.453592 kg/lb = 68.039 kg.
- Weight force on Earth: 68.039 kg × 9.80665 m/s² = 667.2 N.
- Weight force on Moon: 68.039 kg × 1.62 m/s² = 110.2 N.