500 newton in kg
Understand the Problem
The question is asking to convert a force measured in newtons into mass measured in kilograms. According to physics, weight in newtons can be converted to mass in kilograms using the formula: mass (kg) = force (N) / acceleration due to gravity (approximately 9.81 m/s²).
Answer
Mass (kg) = Force (N) / 9.81
Answer for screen readers
The mass in kilograms is given by the equation:
$$ \text{mass (kg)} = \frac{F}{9.81} $$
Replace ( F ) with the force in newtons for the specific answer.
Steps to Solve
- Identify the given values
We have the formula for converting force in newtons to mass in kilograms:
$$ \text{mass (kg)} = \frac{\text{force (N)}}{g} $$
where ( g ) is the acceleration due to gravity, approximately ( 9.81 , \text{m/s}^2 ).
- Input the known values
Substitute the given force in newtons into the formula. For example, if the force is ( F ) newtons, then:
$$ \text{mass (kg)} = \frac{F}{9.81} $$
- Calculate the mass
Perform the division to find the mass. If you had, for example, a force of ( F = 50 , \text{N} ):
$$ \text{mass (kg)} = \frac{50}{9.81} $$
- Final result
After calculating the above expression, round it to two decimal places if necessary.
For example, if we calculate:
$$ \text{mass (kg)} = \frac{50}{9.81} \approx 5.10 , \text{kg} $$
The mass in kilograms is given by the equation:
$$ \text{mass (kg)} = \frac{F}{9.81} $$
Replace ( F ) with the force in newtons for the specific answer.
More Information
Using this formula, you can convert any force measured in newtons into mass measured in kilograms. This relationship between mass and weight is fundamental in physics, illustrating how weight is affected by gravity.
Tips
- Confusing mass with weight: Remember that mass is the amount of matter in an object, while weight is the force of gravity acting on that mass. Always use the correct formula.
- Miscalculating the division: Be careful while performing the division. Double-check your calculations to avoid errors in converting units.