Newtons to Grams Calculator
Convert newtons (force) to grams (mass) using the gravitational constant. The formula is grams = N / 9.80665 x 1000. This gives the mass that would produce the given force under standard Earth gravity.
How to Convert Newtons to Grams
- Take the force value in newtons.
- Divide by 9.80665 (standard gravity) to get kilograms.
- Multiply by 1000 to convert kilograms to grams.
Formula
grams = (N / 9.80665) x 1000
grams = N x 101.9716
1 Newton = 101.97 grams (gram-force equivalent)
Example Calculation
Convert 4.9 N to grams:
grams = 4.9 / 9.80665 x 1000
grams = 0.4997 x 1000 = 499.66 g (approximately 500 g)
This makes sense: 500 grams exerts about 4.9 N of force due to gravity.
Newtons to Grams Reference Table
| Force (N) | Mass (grams) |
|---|---|
| 0.01 | 1.02 |
| 0.1 | 10.20 |
| 0.5 | 50.99 |
| 1 | 101.97 |
| 2 | 203.94 |
| 5 | 509.86 |
| 9.80665 | 1000.00 |
| 10 | 1019.72 |
| 20 | 2039.43 |
| 50 | 5098.58 |
| 100 | 10197.16 |
Frequently Asked Questions
How many grams is 1 Newton?
1 Newton equals approximately 101.97 grams. This means a 102-gram object exerts about 1 Newton of force due to gravity.
What is the difference between grams and gram-force?
Grams measure mass, while gram-force (gf) is a unit of force equal to the gravitational force on 1 gram. 1 gf = 0.00981 N. This calculator converts newtons to the equivalent mass in grams.
How many newtons does 1 kg exert?
1 kg exerts 9.80665 N of force due to gravity. This is why 1000 grams corresponds to approximately 9.81 N in the reference table.
When is this conversion used?
In laboratory settings where spring scales measure force in newtons but results need to be reported in grams. Also in physics education when relating force and mass concepts.
Is the quick approximation 1 N = 100 g accurate enough?
The approximation 1 N = 100 g has about 2% error (actual is 101.97 g). For rough estimates it works, but for precise work use the exact factor of 101.9716.