In 2g, would jumping be harder?

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DaveC426913
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TL;DR
The same effort would get you only half as high. But otherwise would you notice?
Doesn't the whole process scale down?
Let's say in a nice leisurely challenge, I jump a foot. i.e. my feet peak at one foot off the ground.

If I were in 2g and I expended the same effort, I should jump a mere six inches.
Would this be equivalent all aspects?
i.e I wouldn't damage myself any more in the second jump than the first (assuming I don't fall over).
 
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You have to bend your knees then straighten to jump. During that process you would feel like you weigh twice as much as normal (don't skip leg day!). And you would only be in the air for 70% as long as in 1g, which would probably feel odd.
 
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