How many newtons in a kg?
Understand the Problem
The question is asking for the conversion between kilograms and newtons, specifically how many newtons are equivalent to one kilogram in terms of weight. This involves understanding the relationship between mass and weight, noting that weight is the result of mass multiplied by the acceleration due to gravity.
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
The weight (W) of an object is given by the formula:
$$ W = m imes g $$
where:
- $W$ is the weight in newtons (N)
- $m$ is the mass in kilograms (kg)
- $g$ is the acceleration due to gravity (approximately $9.8 , m/s^2$ on the surface of the Earth)
- Substitute the given mass and acceleration due to gravity into the equation
For a mass of 1 kg:
$$ W = 1 , kg imes 9.8 , m/s^2 $$
- Perform the multiplication to find the weight
Multiply the values:
$$ W = 9.8 , N $$
This means that 1 kilogram is equivalent to 9.8 newtons in terms of weight on the surface of the Earth.
The final answer is 9.8 N
More Information
The value of 9.8 N is the result of the acceleration due to gravity on the Earth's surface. This value can vary slightly depending on altitude and geographical location.
Tips
A common mistake is to confuse mass with weight. Remember, mass is a measure of the amount of matter in an object and does not change based on location, whereas weight is the force exerted by gravity on that mass.
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