Final answer:
Mass is the quantity of matter in an object and remains constant, while weight is the force of gravity acting on that mass and can vary with changes in gravity. The formula for weight is W = m × g. A 10 kg barbell weighs 98 newtons on Earth.
Step-by-step explanation:
Mass is defined as the quantity of matter in an object and does not change regardless of location. Weight, on the other hand, is the force of gravity acting on an object's mass and does vary with changes in gravity. For example, mass will remain the same whether it's on Earth, the Moon, or in space, while weight will be different in each of these locations because of the differing gravitational forces.
The more mass an object has, the more weight it will have under the same gravitational conditions. The formula for weight is weight (W) = mass (m) × acceleration due to gravity (g), and since the average acceleration due to gravity on Earth's surface is approximately 9.8 m/s², the weight can be calculated as such.
Consider a barbell with a mass of 10 kg. The weight of the barbell can be found using the formula W = m × g. Assuming the standard Earth gravity, this would be W = 10 kg × 9.8 m/s², which results in a weight of 98 newtons.