Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 6 - Work and Energy - Problems - Page 167: 36

Answer

The girl rises by $0.67m$

Work Step by Step

According to the principle of energy conservation, the total energy $E$ remains constant, meaning a decrease in kinetic energy corresponds to an equal amount of increase in potential energy. $$\Delta PE=-\Delta KE=-(210J-440J)=230J$$ $PE$ can be calculated by $PE=mgh$, so here $$mg\Delta h=230$$ $$\Delta h=\frac{230}{mg}=\frac{230}{35\times9.8}=0.67m$$
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