A cylinder of mass M and radius R moves with speed V through a region of space

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A cylinder of mass M and radius R moves with speed V through a region of space that contains particles of mass m that are at rest. There are n of these particles per unit volume. The cylinder moves in a direction perpendicular to its axis. Assume m << M, and assume that the particles do not interact with each other. What is the drag force per unit length on the cylinder?
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