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For the same leg strength / jumping technique weight affects how far one can jump.
Acceleration = Force / Mass
With more mass you can't accelerate yourself as much when you jump with the same force. Imagine attempting to jump with a small backpack full of sand strapped to your back. Your strength has not changed. That is the amount of force you are able to deliver has not changed but your mass has. You cannot jump as high.
UNIT: SI unit of force is Newton (N).
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