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AP EAMCET202125 Aug 2021Morning ShiftPhysicsMotion in One DimensionActual

Two bodies having masses in the ratio 2: 3 fall freely under gravity from heights which are in the ratio 9: 16 . The ratio of their linear momenta on touching the ground is

Options

  1. A2: 9
  2. B3: 16
  3. C1: 2
  4. D3: 2

Correct answer

C. 1: 2

Step-by-step solution

The velocity acquired by a mass m falling freely under the influence of gravity from the heigh h is v= 2 g h Momentum of first body, p₁=m₁ v₁ =m₁ 2 g h₁ Momentum of second body p₂=m₂ v₂ =m₂ 2 g h₂ The ratio of their linear momenta on touching the ground is aligned p₁ p₂ & = m₁ 2 g h₁ m₂ 2 g h₂ & = 2 3 9 16 = 2 3 3 4 = 1 2 or 1: 2 aligned

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