Question

QUESTION 3 Jessica and Julie are twins, with a mass of 40.0 kg each. They are both riding a merry go round, with Jessica sitting 8.0 m from the center and Julie sitting 6.0 m from the center. If Jessica is traveling at 1.3 m/s and Julie is traveling at 0.95 m/s, who is experiencing the greatest force?

Answer 1

$\begin{gathered} \text{For Jessica} \\ m=\text{ 40.0 }kg \\ r=8.0\text{ m} \\ v_{Jessica}=1.3\text{ m/s} \\ F_{Jessica}=\frac{mv^2_{Jessica}}{r}=\frac{(\text{ 40.0 }kg)(1.3\text{ m/s})^2}{8.0\text{ m}} \\ F_{Jessica}=8.45N \\ \\ \text{For Julie} \\ m=\text{ 40.0 }kg \\ r=6.0\text{ m} \\ v_{Julie}=0.95\text{ m/s} \\ F_{Julie}=\frac{mv^2_{\text{Julie}}}{r}=\frac{(\text{ 40.0 }kg)(0.95\text{ m/s})^2}{6.0\text{ m}} \\ F_{Julie}=6.01\text{ N} \\ \\ \text{Jessica is experiencing the greatest force of }8.45N \end{gathered}$