AQA GCSE Higher Physics: Weight, Mass, and Gravitational Field Strength
Understanding Weight and Mass
- Mass is a measure of the amount of matter an object contains. It's a fundamental property of an object and remains constant regardless of location. We measure mass in kilograms (kg).
- Weight is the force of gravity acting on an object's mass. It's a force, so we measure it in Newtons (N). Weight is dependent on the gravitational field strength.
Gravitational Field Strength
- The gravitational field strength is a measure of the gravitational force acting on a 1 kg mass at a particular location. We measure it in Newtons per kilogram (N/kg).
- On Earth, the average gravitational field strength is approximately 9.8 N/kg.
The Relationship between Weight, Mass, and Gravitational Field Strength
The relationship between weight, mass, and gravitational field strength is expressed by the following formula:
Weight = Mass * Gravitational Field Strength
Let's break down the formula:
- Weight (W): This is the force of gravity acting on the object.
- Mass (m): This is the amount of matter in the object.
- Gravitational Field Strength (g): This is the strength of the gravitational field at the object's location.
Example:
A 50 kg person stands on Earth. Calculate their weight.
Solution:
- Mass (m) = 50 kg
- Gravitational Field Strength (g) = 9.8 N/kg
- Weight (W) = m * g = 50 kg * 9.8 N/kg = 490 N
Therefore, the person's weight on Earth is 490 N.
Important Points to Remember:
- The gravitational field strength is not constant everywhere on Earth. It varies slightly depending on altitude and location.
- On other planets, the gravitational field strength is different from Earth's. For example, on the Moon, the gravitational field strength is about 1/6th that of Earth's.
Key Takeaways:
- Mass is a measure of the amount of matter in an object and remains constant.
- Weight is a force that depends on both mass and the gravitational field strength.
- Gravitational field strength varies depending on location.
- Understanding the relationship between weight, mass, and gravitational field strength is essential for solving problems in physics.