Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 8 - Potential Energy and Conservation of Energy - Problems and Conceptual Exercises - Page 247: 41

Answer

$2.7\frac{m}{s}$

Work Step by Step

We know that $W=E_f-E_i$ $W=(\frac{1}{2}mv_f^2+mgy_f)-(\frac{1}{2}mv_i^2+mgy_i)$ $\implies \frac{1}{2}mv_f^2=W-mgy_f+\frac{1}{2}mv_i^2+mgy_i$ This simplifies to: $v_f=\sqrt{\frac{2W}{m}+2g(y_i-y_f)+v_i^2}$ We plug in the known values to obtain: $v_f=\sqrt{\frac{2(-316)}{19}+2(9.81)(2.3-0)+(0)^2}$ $v_f=2.7\frac{m}{s}$
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