F=ma 2021 Problem 22

A ship rams into a hunk of ice floating in the sea. “Icebreakers” are ships designed so that when this happens, the ice is pushed down beneath the ship. If the coefficient of static friction between the ice and the ship is \mu_{s}, what condition applies to the angle \theta, as shown in the figure, so that the icebreaker functions as intended?

Answer Choices
A. \cot \theta>\mu \leftarrow CORRECT
B. \cos \theta>\mu
C. \cot \theta<\mu
D. \cos \theta<\mu
E. It depends on the curvature of the ice.

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