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The specialty of an athlete on the women's track team is the pole vault. She has...

The specialty of an athlete on the women's track team is the pole vault. She has a mass of 46 kg and her approach speed is 8.6 m/s. When she is directly above the bar, her speed is 1.3m/s. Neglecting air resistance and any energy absorbed by the pole, determine the amount she has raised herself as she crosses the bar.

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Answer #1

In this problem, the increase of her potential energy is equal to the decrease of her kinetic energy.

Initial KE = ½ * 46 * 8.6^2 = 1701.08J
Final KE = ½ * 46 * 1.3^2 = 38.87 J
∆ KE = 1701.08 – 38.87 = 1662.21 J

PE = 46 * 9.8 * h = 450.8 * h
450.8 * h = 1662.21
h = 1827.45 ÷ 568.4
This is approximately h= 3.687 meters

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