The Relationship Between Force, Mass, and Acceleration
* Newton's Second Law of Motion: Force (F) is equal to mass (m) times acceleration (a). This is expressed as F = ma.
* Gravity's Role: The acceleration due to gravity (g) near the Earth's surface is approximately 9.8 m/s². This means any object near the surface will experience an acceleration downwards at this rate.
The Missing Piece
To find the mass, you need to use the following equation derived from Newton's Second Law:
* m = F / g
What You Need:
1. Gravitational Force (F): You have this, it's 685 N.
2. Acceleration due to Gravity (g): You need to know the value of g at the location where the object is. It's roughly 9.8 m/s² at the Earth's surface, but can vary slightly depending on altitude and location.
Calculating the Mass
Once you have the accurate value for g, you can plug it into the equation:
* m = 685 N / g
Example:
Let's assume g is 9.8 m/s²:
* m = 685 N / 9.8 m/s²
* m ≈ 70.0 kg
Important Note: Always use the correct value for acceleration due to gravity (g) based on the object's location.
