Weight Equation Calculator

Weight equals mass times gravitational acceleration

Solution

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How It Works

Weight is the gravitational force on an object: W = m · g. Unlike mass (which stays the same everywhere), weight changes with gravitational acceleration. On Earth, g ≈ 9.81 m/s²; on the Moon, g ≈ 1.62 m/s². The same 70 kg person weighs 687 N on Earth but only 113 N on the Moon.

Example Problem

What does a 50 kg suitcase weigh on Earth?

  1. W = 50 × 9.81 = 490.5 N

In everyday terms, that is about 110.2 lbf.

Frequently Asked Questions

What is the difference between mass and weight?

Mass (kg) measures the amount of matter in an object and never changes. Weight (N) is the gravitational force on that mass and varies with location. A 70 kg person weighs less on the Moon than on Earth.

Why do bathroom scales show kilograms?

Scales are calibrated assuming standard Earth gravity. They measure force (weight) but display the equivalent mass. In a different gravitational field, the reading would be wrong.

What is the value of g on other planets?

Mars: 3.72 m/s². Jupiter: 24.79 m/s². Moon: 1.62 m/s². A 70 kg person would weigh 260 N on Mars and 1,735 N on Jupiter.

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Reference: Lindeburg, Michael R. 1992. Engineer In Training Reference Manual. Professional Publication, Inc. 8th Edition.