WAEC 2015 Physics · Question 28

Which of the following statements about mass and weight are correct? i. Weight is the force of gravity on a…

Question

Which of the following statements about mass and weight are correct? i. Weight is the force of gravity on a body. ii. The mass of a body is the quantity of matter in the body. iii. The weight of a body is greatest at the equator. iv. The mass of a body is greatest at the poles

  1. A.i and ii only
  2. B.i and iii only
  3. C.ii and iv only
  4. D.iii and iv only

Answer: A. i and ii only

Explanation written with AI and checked against the answer key

Analyze the question: We need to pick the correct statements about mass and weight.

Concepts:

  • Mass is the quantity of matter in a body. It is constant everywhere (the same on Earth, the Moon, at the poles or at the equator). Unit: kg.
  • Weight is the force of gravity acting on a body, W = mg. Unit: newton (N).
  • The value of g varies slightly over the Earth. Because the Earth bulges at the equator and spins faster there, g is smallest at the equator (about 9.78 m/s²) and greatest at the poles (about 9.83 m/s²).

Checking each statement:

i. Weight is the force of gravity on a body. True.

ii. The mass of a body is the quantity of matter in the body. True.

iii. The weight of a body is greatest at the equator. False. g is least at the equator, so weight is least there and greatest at the poles.

iv. The mass of a body is greatest at the poles. False. Mass does not change with location.

So only statements i and ii are correct.

**Answer: A. i and ii only.

Tip: Remember "Mass is constant, weight varies." Weight changes with g, and g is greatest at the poles and least at the equator. If a question says mass changes with place, it is wrong.

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