Leap Off an Asteroid: Escape Earthly Gravity?

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tjsingle
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Suppose that on Earth you can jump straight up a distance of 50 cm. Can you escape from a 4.0-km-diameter asteroid with a mass of 1.0 times 10^14 kg?
 
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You are going to need to write your attempt at a solution to get help I think.

If you are really stuck you can start with trying to see what force your legs produce when jumping on Earth.