Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 3 - 3.5 - Mathematical Modeling and Variation - 3.5 Exercises - Page 296: 52


$K$ varies jointly as $m$ and the square of $v$

Work Step by Step

It means that if we multiply $m$ by a factor $a$ and $v$ by a factor $b$, then $K$ will be multiplied by a factor $ab^2$. $K_1=\frac{1}{2}m_1v^2_1$ Now suppose that $m_2=am_1$ and $v_2=bv_1$ $A_2=\frac{1}{2}m_2v^2_2=\frac{1}{2}am_1(bv_1)^2=\frac{1}{2}am_1b^2v_1^2=ab^2\frac{1}{2}m_1v_1^2=ab^2A_1$ $A_2 =ab^2A_1$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.