How many newtons are in a kilogram?
Understand the Problem
The question is asking for the relationship between kilograms and newtons in terms of weight measurement. It seeks to understand how to convert mass (kilograms) into weight (newtons) using gravitational force.
Answer
9.8 N
Answer for screen readers
The final answer is 9.8 N
Steps to Solve
- Understand the relationship between mass and weight
Weight (in newtons) is the force exerted by gravity on an object. The weight can be calculated using the formula:
$$ W = mg $$
where $ W $ is weight in newtons, $ m $ is mass in kilograms, and $ g $ is the acceleration due to gravity in $ \text{m/s}^2 $. On Earth, $ g $ is approximately $ 9.8 \text{ m/s}^2 $.
- Substitute the known values into the formula
Since we are given 1 kilogram of mass, substitute $ m = 1 \text{ kg} $ and $ g = 9.8 \text{ m/s}^2 $ into the formula:
$$ W = 1 \text{ kg} \times 9.8 \text{ m/s}^2 $$
- Calculate the weight in newtons
Multiply the values together:
$$ W = 9.8 \text{ N} $$
The final answer is 9.8 N
More Information
A kilogram of mass corresponds to 9.8 newtons of weight on the surface of the Earth.
Tips
A common mistake is to confuse mass (kilograms) with weight (newtons). Remember that mass is a measure of how much matter an object has, while weight is the force exerted by gravity on that object.
AI-generated content may contain errors. Please verify critical information
