Which of the following statement about weight is correct?
I. Weight has only magnitude but no direction
II. Weight is a force acting vertically downwards
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2: Only II.
Explanation:
In physics, understanding the distinction between weight and mass is crucial.
• Statement 1 is incorrect: Weight is a vector quantity. This means that weight possesses both magnitude and direction. The direction of weight is always directed towards the center of the Earth (or the specific celestial body). (Mass possesses only magnitude, not direction).
• Statement 2 is correct: Weight is, in essence, the force with which the Earth pulls an object towards its center. This force invariably acts vertically downwards.
Formula for Weight:
W = m × g
(Here, W represents weight, m represents mass, and g represents the acceleration due to gravity).
Key Differences between Mass and Weight:
Characteristic Mass Weight
Definition The quantity of matter contained within an object. The gravitational force acting upon an object.
Type Scalar Quantity. Vector Quantity.
Effect of Location Remains constant everywhere. Varies with a change in location (e.g., weight is lower on the Moon).
Unit Kilogram (kg). Newton (N).
Additional Facts:
• Weight on the Moon: The gravitational force on the Moon is approximately 1/6th of that on Earth; therefore, your weight on the Moon would be 1/6th of your weight on Earth, though your mass would remain unchanged.
• Zero Weight: In space or for a freely falling object, weight can be zero; however, mass can never be zero.
Potential Questions for Upcoming Exams:
Question: What is the SI unit of weight?
Answer: Newton (N).
Question: If an object has a mass of 60 kg on Earth, what would its 'mass' be on the Moon?
Answer: It would remain 60 kg (mass does not change).
Question: Is the value of the acceleration due to gravity (g) higher at the Poles or at the Equator? Answer: It is greater at the poles; therefore, the weight of an object is also greater at the poles.