Two bodies of masses $12 \mathrm{~kg}$ and $6 \mathrm{~kg}$ are projected simultaneously with velocities $15…

Two bodies of masses $12 \mathrm{~kg}$ and $6 \mathrm{~kg}$ are projected simultaneously with velocities $15 \mathrm{~ms}^{-1}$ and $20 \mathrm{~ms}^{-1}$ respectively from the top of a tower of height $25 \mathrm{~m}$. The body of mass $12 \mathrm{~kg}$ is projected vertically upwards and the body of mass $6 \mathrm{~kg}$ is projected horizontally. The maximum height reached by the centre of mass of the system of two bodies from the ground. $$ \left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right) $$
  1. $5 \mathrm{~m}$
  2. $25 \mathrm{~m}$
  3. $30 \mathrm{~m}$
  4. $50 \mathrm{~m}$

Solution

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Asked in: AP EAMCET 2023 (18 May Shift 2)

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