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Question: Answered & Verified by Expert
A body of mass $m$ is thrown vertically upward with speed $\sqrt{3} v_e$, where $v_e$ is the escape velocity of a body from earth surface. The final velocity of the body is
PhysicsGravitationWBJEEWBJEE 2022
Options:
  • A 0
  • B $2 v_e$
  • C $\sqrt{3} v_e$
  • D $\sqrt{2} \mathrm{v}_{\mathrm{e}}$
Solution:
2449 Upvotes Verified Answer
The correct answer is: $\sqrt{2} \mathrm{v}_{\mathrm{e}}$
$-\frac{\mathrm{GMm}}{\mathrm{R}}+\frac{1}{2} \mathrm{~m}\left(\sqrt{3} \mathrm{v}_{\mathrm{e}}\right)^2=0+\frac{1}{2} \mathrm{mv}^2, \quad \mathrm{v}=\sqrt{2} \mathrm{v}_{\mathrm{e}}$

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