To infinity and beyond!!!

Classical Mechanics Level 1

Buzz Lightyear was playing with a football and has a sudden thought: "What is the minimum amount of kinetic energy needed to project a ball of mass \(M\) to infinity from the Earth's surface?"

Help Buzz find out the answer!


  • Let the radius of Earth be \(R\) and the acceleration on the earth's surface due to gravity of earth be \(g\).
  • Suppose only Earth's gravity acts on the ball and no other forces acts on the ball.

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