Gravitation and Weight: Analyzing Physics Statements

This section explains the correctness of two statements related to gravitation and weight, fundamental concepts in physics.

Analysis of Statement I: Gravitation's Strength

Statement I says: "Gravitation is a weak force unless large masses are involved."

• Gravitation is the force of attraction between any two objects with mass.
• While it's a universal force, its strength is intrinsically very low compared to other fundamental forces like electromagnetism. For instance, the electrostatic force between two electrons is vastly stronger than the gravitational force between them.
• The effect of gravity becomes significant and noticeable only when at least one of the masses involved is very large, such as planets, stars, or galaxies. On Earth, we experience gravity as our weight because the Earth has a huge mass.
• Therefore, Statement I is correct.

Analysis of Statement II: Defining Weight

Statement II says: "The weight is equal to the product of mass and acceleration due to gravity."

• Weight is defined as the force exerted on an object by gravity.
• This force is calculated using the formula:

  $$ W = m \times g $$

  Where:
  • $W$ represents the weight of the object (measured in Newtons, N).
  • $m$ represents the mass of the object (measured in kilograms, kg). Mass is a measure of the amount of matter in an object and is constant regardless of location.
  • $g$ represents the acceleration due to gravity (measured in meters per second squared, $\text{m/s}^2$). This value varies depending on the celestial body (e.g., on Earth's surface, $g \approx 9.8 \, \text{m/s}^2$).
• This formula accurately describes how weight is determined.
• Therefore, Statement II is also correct.

Conclusion

Since both Statement I (explaining the condition under which gravity is significant) and Statement II (defining weight correctly) are accurate, the option stating that both are correct is the right choice.