Physics (10th Edition)

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

Chapter 6 - Work and Energy - Check Your Understanding - Page 159: 11

Answer

b) is correct.

Work Step by Step

As the total mechanical energy is conserved, the total mechanical energy when the roller coaster reaches the top is the same as the initial mechanical energy: $E_0=E_f$ Since $E=\frac{1}{2}mv^2+mgh$, as the roller coaster goes back to its original position with similar height $h$, it will also go back to its initial speed $v=6m/s$ b) is correct.
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