Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 6 - Section 6.7 - Formulas - Exercises - Page 256: 42

Answer

$V_2 =\frac{Ft+mV_1}{m}$

Work Step by Step

To solve the given equation for $V_2$, we follow the following steps $$ Ft=m(V_2-V_1)\Longrightarrow Ft=mV_2-mV_1\\ \Longrightarrow m V_2=Ft+mV_1\\ \Longrightarrow \frac{ mV_2}{m}=\frac{Ft+mV_1}{m}\\ \Longrightarrow V_2 =\frac{Ft+mV_1}{m} .$$
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