Does a 2-kilogram rock have twice the mass of a 1-kilogram rock? twice the inertia? twice the weight (when weighed in the same location?)
Thrice yes.
To answer these questions, we need to understand a few concepts: mass, inertia, and weight.
1. Mass: Mass is a measure of the amount of matter in an object. It represents the object's resistance to acceleration when a force is applied. The SI unit of mass is the kilogram (kg).
2. Inertia: Inertia is the tendency of an object to resist changes in its state of motion. It is directly related to an object's mass. An object with more mass has greater inertia, meaning it requires a greater force to accelerate or decelerate.
3. Weight: Weight is the force exerted on an object due to gravity. It is the product of an object's mass and the acceleration due to gravity. The standard acceleration due to gravity on Earth is approximately 9.8 meters per second squared (m/s^2).
Now let's address each question:
1. Does a 2-kilogram rock have twice the mass of a 1-kilogram rock?
- Yes, a 2-kilogram rock has twice the mass of a 1-kilogram rock. Mass is a direct measure of the amount of matter in an object, so when comparing two objects, doubling the mass of one means doubling the amount of matter it contains.
2. Does a 2-kilogram rock have twice the inertia of a 1-kilogram rock?
- Yes, a 2-kilogram rock has twice the inertia of a 1-kilogram rock. Inertia is directly proportional to an object's mass. Doubling the mass of an object doubles its inertia, indicating that it will require a greater force to change its state of motion.
3. Does a 2-kilogram rock have twice the weight (when weighed in the same location) as a 1-kilogram rock?
- No, a 2-kilogram rock does not have twice the weight of a 1-kilogram rock when weighed in the same location. Weight depends on both mass and gravity. Since both rocks are weighed in the same location on Earth, the acceleration due to gravity remains constant. Therefore, according to the weight formula (Weight = mass x acceleration due to gravity), the weight of the 2-kilogram rock will be twice that of the 1-kilogram rock.