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Category Engineering Converters

Mass (kg)

Acceleration / Gravity (g)

Calculation Step:

F = 5 \times 9.81

= 49.03 N

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About

In physics, mass and force are distinct concepts often confused by students. Mass (kg) is the amount of matter in an object, which is constant everywhere. Force (Newtons), specifically Weight, is the interaction of that mass with a gravitational field. This distinction is the core of classical mechanics.

This tool is designed for students and educators. It uses Newton"s Second Law to calculate the force. Unlike standard converters, this tool displays the "work" - showing the multiplication step - to aid in learning. It defaults to standard Earth gravity but allows modification for textbook problems that approximate g to 10 m/s².

Formulas

The formula is derived from Newton"s Second Law:

F_(N) = m_(kg) × a_(m/s²)

Where a is acceleration. In the context of weight, a is replaced by g (gravity).

Reference Data

Object	Approx Mass (kg)	Weight Force (N)
Large Apple	0.102	1
Smartphone	0.200	1.96
Liter of Water	1.0	9.81
Human Adult	70.0	686
Small Car	1200	11,768
Asian Elephant	4000	39,226

Frequently Asked Questions

A Newton (N) is the SI unit of force. One Newton is the force needed to accelerate 1 kilogram of mass at a rate of 1 meter per second squared. Roughly, it feels like the weight of a small apple in your hand.

Standard gravity is ~9.80665 m/s². However, for exams and quick estimates, teachers often round this up to 10 m/s² to make mental math easier. This tool lets you change the gravity value to match your homework requirements.

On Earth, yes. Mass (kg) and Force (N) are not the same thing, but they are directly proportional via gravity. 1 kg weighs 9.81 N on Earth, but only 1.62 N on the Moon.