Hot Student Stories

# 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

follow
followin
1 answer
6 views

#### 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 !)