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Problem: The world's 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 would such a sprinter need to climb?

FREE Expert Solution

At the ground, the kinetic energy is:

KE=12mv2

Above the ground, the potential energy is:

PE=mgh

Equate the two equations:

PE = KE

mgh = (1/2)mv2

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Problem Details

The world's 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 would such a sprinter need to climb?

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