Well if you multiply the static and the kinetic friction and add gravity to it you get the minimum magnitude.
PhD in Physics
A loaded penguin sled weighing 73 N rests on a plane inclined at angle θ = 21° to the horizontal (Fig. 6-23). Between the sled and the plane, the coefficient of static friction is 0.24, and the coefficient of kinetic friction is 0.19. (a) What is the minimum magnitude of the force , parallel to the plane, that will prevent the sled from slipping down the plane? (b) What is the minimum magnitude F that will start the sled moving up the plane? (c) What value of F is required to move the sled up the plane at constant velocity?
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