If your mass is 80 kg, what is your weight on Earth, where the valueos ‘g is 10 m/s2.
The correct answer and explanation is :
To calculate your weight on Earth, you can use the following formula:
[
\text{Weight} = \text{Mass} \times \text{Gravitational Acceleration}
]
Where:
- Weight is the force exerted by gravity on an object.
- Mass is the amount of matter in the object, measured in kilograms (kg).
- Gravitational acceleration (g) is the acceleration due to gravity, which on Earth is approximately 10 m/s².
Given that:
- Mass (m) = 80 kg
- Gravitational acceleration (g) = 10 m/s²
We can now calculate the weight:
[
\text{Weight} = 80 \, \text{kg} \times 10 \, \text{m/s}^2
]
[
\text{Weight} = 800 \, \text{N}
]
So, the weight of an object with a mass of 80 kg on Earth is 800 newtons (N).
Explanation:
Weight is not the same as mass. While mass refers to the amount of matter in an object, weight is the force exerted on that object due to gravity. The weight of an object depends on both its mass and the local gravitational field strength.
On Earth, the gravitational field strength is approximately 10 m/s². This means that for every kilogram of mass, the object experiences a force of 10 newtons pulling it toward the center of the Earth. Therefore, the weight of an object increases as its mass increases.
In this case, with a mass of 80 kg, the object experiences a downward force of 800 newtons due to gravity. The weight is often measured in newtons (N), which is the standard unit of force in the International System of Units (SI).
If you were on a different planet with a different gravitational acceleration (for example, Mars or the Moon), your weight would change, but your mass would remain the same. The formula ( \text{Weight} = \text{Mass} \times g ) applies universally, with ( g ) being different depending on the celestial body.