Pole vaulter
Question
Solution
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The following quantities appear in the problem:
Masse \(m\) / Energie \(E\) / Geschwindigkeit \(v\) / Ortsfaktor \(g\) / Höhe \(h\) /
The following formulas must be used to solve the exercise:
\(\sum E_{\scriptscriptstyle\rm tot} \stackrel{!}{=} \sum E_{\scriptscriptstyle\rm tot}' \quad \) \(E_{\rm \scriptscriptstyle kin} = \dfrac12 mv^2 \quad \) \(E_{\rm \scriptscriptstyle pot} = mgh \quad \)
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Exercise:
In the final meters pole vaulters reach speeds of up to vO. If all of this kinetic energy were converted o potential energy what height would they achieve?
Solution:
sscEkin sscEpot sscEkin sscEpot frac mv^ mgh h fracqtyv^g fracv^ ncg h approx hP Ausrufbox The best jumpers reach a height of approximately m. Initially their center of gravity is not at zero and they raise it further by using their arms as they swing their legs upward. Ausrufbox
In the final meters pole vaulters reach speeds of up to vO. If all of this kinetic energy were converted o potential energy what height would they achieve?
Solution:
sscEkin sscEpot sscEkin sscEpot frac mv^ mgh h fracqtyv^g fracv^ ncg h approx hP Ausrufbox The best jumpers reach a height of approximately m. Initially their center of gravity is not at zero and they raise it further by using their arms as they swing their legs upward. Ausrufbox