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The worlds fastest humans can reach speeds of about 11 m/s in order to increase his gravitational potential energy by an amount equal to his Kinetic energy at full speed how high with the sprinter need to climb

Kaitlin Dean

in Physics

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1 answer

Ashley Howard on February 17, 2019

What is a small and charming problem !-- When running on level ground, its kinetic energy is KE = (1/2) x (mass) x (speed)2 .-- When it rises from the ground, its potential energy is PE = (mass) x (gravity) x (height above ground).We are looking for the height that makes these amounts of energy equal to,thinking that when it runs, its velocity is 11 m/s. The first time I saw this, I thought that it would be necessary to know the corridor of the mass. But it is not. PE = KE (mass) x (gravity) x (height) = (1/2) (mass) (11 m/s)2 Divide each side by (mass) : (gravity) x (Height) = (1/2) (11 m/s)2Divide each side by gravity: Height = (1/2) (121 m2/s2) / (9.8 m/s2) = 6.173 metres (approximately 20.3 feet !)

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