Mass from Weight Formula:
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The mass from weight calculation determines an object's mass based on its weight and the gravitational acceleration acting upon it. This is based on Newton's second law: weight = mass × gravity.
The calculator uses the formula:
Where:
Explanation: The formula rearranges Newton's second law to solve for mass when weight is known.
Details: Calculating mass from weight is fundamental in physics and engineering applications where direct mass measurement isn't possible, but weight can be measured.
Tips: Enter weight in Newtons and gravitational acceleration in m/s² (9.81 m/s² on Earth's surface). Both values must be positive numbers.
Q1: What's the difference between mass and weight?
A: Mass is a measure of matter (constant), while weight is the force of gravity acting on that mass (varies with gravity).
Q2: Why is Earth's gravity 9.81 m/s²?
A: This is the average gravitational acceleration at Earth's surface, varying slightly by location (9.78-9.83 m/s²).
Q3: How would mass change on the Moon?
A: Mass stays the same, but weight would be about 1/6 of Earth's due to Moon's lower gravity (1.62 m/s²).
Q4: Can I use this for objects in free fall?
A: No, in free fall the apparent weight would be zero, making this calculation invalid.
Q5: What units should I use?
A: Use Newtons for weight (kg·m/s²) and kilograms for mass. Ensure consistent units.