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    • https://phys.libretexts.org/Courses/Berea_College/Introductory_Physics%3A_Berea_College/06%3A_Applying_Newtons_Laws/6.08%3A_Problems_and_Solutions
      Writing Newton’s Second Law in the vertical direction, for the case where only the weight acts on Barb or Kenny (mass m), when they are going at speed v \[\begin{aligned} mg &= ma_R = m\frac{v...Writing Newton’s Second Law in the vertical direction, for the case where only the weight acts on Barb or Kenny (mass m), when they are going at speed v mg=maR=mv2R This corresponds to the minimum speed that they must have at the top of the loop to make it around.
    • https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/05%3A_Newton's_Laws_of_Motion/5.10%3A_Problems_and_Solutions
      Writing Newton’s Second Law in the vertical direction, for the case where only the weight acts on Barb or Kenny (mass m), when they are going at speed v \[\begin{aligned} mg &= ma_R = m\frac{v...Writing Newton’s Second Law in the vertical direction, for the case where only the weight acts on Barb or Kenny (mass m), when they are going at speed v \begin{aligned} mg &= ma_R = m\frac{v^2}{R}\\ \therefore v &= \sqrt{gR} = \sqrt{(9.8\text{m/s}^{2})(22\text{m})}=14.68\text{m/s}\end{aligned} This corresponds to the minimum speed that they must have at the top of the loop to make it around.

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