Physics (10th Edition)

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

Chapter 5 - Dynamics of Uniform Circular Motion - Focus On Concepts - Page 137: 7


(d) is correct.

Work Step by Step

The tension in the cord provides the centripetal force, so $$T=F_c=\frac{mv^2}{r}$$ $m$ and $v$ are the same for both stones, but $r_1=2r_2$. Therefore, $$\frac{T_1}{T_2}=\frac{\frac{mv^2}{r_1}}{\frac{mv^2}{r_2}}=\frac{r_2}{r_1}=\frac{1}{2}$$ (d) is correct.
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