Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 6 - Work and Energy - General Problems - Page 168: 84

Answer

Jesse Owens had a minimum speed of 8.0 m/s.

Work Step by Step

We can use conservation of energy to solve this question: $E_1 = E_2$ $KE_1 + PE_1 = KE_2 + PE_2$ $\frac{1}{2}mv_1^2 + 0 = \frac{1}{2}mv_2^2 + mgy$ $\frac{1}{2}v_1^2 = \frac{1}{2}v_2^2 + gy$ $v_1 = \sqrt{v_2^2 + 2gy}$ $v_1 = \sqrt{(6.5 ~m/s)^2 + (2)(9.80 ~m/s^2)(1.1 ~m)}$ $v_1 = 8.0~m/s$ Jesse Owens had a minimum speed of 8.0 m/s.
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