Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 8 - Potential Energy and Conservation of Energy - Problems - Page 210: 89b

Answer

$K = 60.3~J$

Work Step by Step

We can find the speed halfway to the ground: $v_f^2 = v_0^2+2ay$ $v_f = \sqrt{v_0^2+2ay}$ $v_f = \sqrt{(3.00~m/s)^2+(2)(9.8~m/s^2)(2.00~m)}$ $v_f = 6.943~m/s$ We can find the kinetic energy: $K = \frac{1}{2}mv^2$ $K = \frac{1}{2}(2.50~kg)(6.943~m/s)^2$ $K = 60.3~J$
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