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Center of Mass question

2022 · 26 Jun · Shift 1 · Q44
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Center of Mass question

2022 · 26 Jun · Shift 1 · Q44

JEE MainPhysicsCenter of MassMCQ+4 / −1
An object is thrown vertically upwards. At its maximum height, which of the following quantity becomes zero?
  1. A
    Momentum
  2. B
    Potential Energy
  3. C
    Acceleration
  4. D
    Force
View written solutionFree

Correct answer: A

  1. Consider an object thrown vertically upward.

  2. At the maximum height of its motion:

    • Its instantaneous velocity becomes zero.
    • Therefore, its momentum is p=mv=m⋅0=0.p = mv = m \cdot 0 = 0.p=mv=m⋅0=0.

  3. Now check the other quantities:

    (A) Momentum

    • Since v=0v=0v=0 at the highest point, p=0.p=0.p=0.
    • So this becomes zero.

    (B) Potential Energy

    • Gravitational potential energy is U=mgh.U = mgh.U=mgh.
    • At maximum height, hhh is maximum, so potential energy is not zero (unless reference is chosen there, which is not the standard implication here).

    (C) Acceleration

    • The acceleration due to gravity remains constant throughout the motion: a=−g.a = -g.a=−g.
    • So acceleration is not zero.

    (D) Force

    • Gravitational force on the object is F=mg,F = mg,F=mg, directed downward.
    • This is not zero.

  4. Hence, the only quantity that becomes zero at the maximum height is momentum.

Correct option: A

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