To infinity and beyond!!!
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.