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The cake company truck is on it's way deliver a cake for a party when it rounds a curve of radius 20 m at a speed of 12 m/s. What coefficient of friction is needed between the cake pan and the truck in order to keep the pan from slipping?

please show work!

  • Physics -

    To avoid slipping, the maximum static friction force,
    M g Us,
    must exceed the centripetal force
    M V^2/R

    Set them equal and solve for the static friction coefficient, Us.

    Us = V^2/(R*g)

    That will be the minimum value required.

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