Mass and weight are both independent of gravity?
True or false
The correct answer and explanation is:
The statement “Mass and weight are both independent of gravity” is false.
Explanation:
Mass and weight are related but distinct physical properties. Mass refers to the amount of matter in an object and is constant, irrespective of location. It is measured in kilograms, grams, or other units of mass. Mass does not change because it is a measure of the object’s intrinsic properties.
Weight, on the other hand, is the force exerted on an object due to gravity. It depends on both the mass of the object and the local gravitational field strength. Weight can be calculated using the formula:
$$
\text{Weight} = \text{Mass} \times \text{Gravitational acceleration}
$$
The gravitational acceleration varies depending on the location. For instance, on Earth, the gravitational acceleration is approximately $9.8 \, \text{m/s}^2$, but on the Moon, it is about $1.6 \, \text{m/s}^2$, which is much weaker. This means an object will weigh less on the Moon compared to Earth, even though its mass remains the same.
Therefore, while mass is independent of gravity, weight is directly dependent on the gravitational pull of the location where the object is situated. In a microgravity environment, such as in space, an object would have almost no weight, but its mass would not change.
In summary, mass remains constant regardless of gravity, while weight changes depending on the strength of the gravitational field acting on the object.