JAMB 2011 Physics · Question 3

A man standing on a lift that is descending does not feel any weight because

Options

  1. A.the inside of the lift is air tight
  2. B.the lift is in vacuum
  3. C.the lift's acceleration is same as acceleration due to gravity
  4. D.there is no gravitational pull on the man in the lift

Answer: C. the lift's acceleration is same as acceleration due to gravity

Explanation written with AI and checked against the answer key

Analyze the question: A man in a descending lift feels weightless. We need the reason.

Concept: What you "feel" as weight is the normal reaction (R) from the surface you stand on. For a lift accelerating downward with acceleration a:

mg − R = ma R = m(g − a)

Solution:

  • If the lift accelerates downward at a < g, R is smaller than mg, so the man feels lighter.
  • If the lift accelerates downward at a = g (for example, if the cable breaks and it is in free fall), then R = m(g − g) = 0.
  • With R = 0, the floor pushes on the man with no force, so he feels weightless. This is apparent weightlessness.

Checking the options:

  • A. Air-tightness has nothing to do with weight. Wrong.
  • B. Being in a vacuum does not remove gravity. Objects still have weight there. Wrong.
  • C. The lift's acceleration equals g, so R = 0. Correct.
  • D. Gravity still acts on the man. If it did not, he would not accelerate downward at all. Wrong.

Answer: C. The lift's acceleration is the same as the acceleration due to gravity.

Tip: In lift problems, remember R = m(g − a) for downward acceleration and R = m(g + a) for upward acceleration. Weightlessness means R = 0, which happens when a = g downward. Gravity never disappears; only the feeling of weight does.

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