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!
Assumptions:
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.
Your answer seems reasonable.
Find out if you're right!