A body is released from a height equal to the radius R of the earth. The velocity of the body when it…

A body is released from a height equal to the radius R of the earth. The velocity of the body when it strikes the surface of the earth will be: (Given g= acceleration due to gravity on the earth.)
  1. 2gR
  2. gR
  3. 4gR
  4. gR2

Solution

Using conservation of mechanical energy,

Ui+Ki=Uf+Kf

⇒-GMm2R+0=-GMmR+12mv2

⇒12mv2=GMm2R

⇒v=GMR=gR

Asked in: JEE Main 2023 (15 Apr Shift 1)

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