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An object moving in a liquid experiences a linear drag force: D⃗ =(bv, direction opposite the...

An object moving in a liquid experiences a linear drag force: D⃗ =(bv, direction opposite the motion), where b is a constant called the drag coefficient. For a sphere of radius R, the drag constant can be computed as b=6πηR, where η is the viscosity of the liquid.

Water at 20∘C has viscosity η=1.0×10−3Ns/m2. Suppose a 1.0-cm-diameter, 1.2 g marble is shot horizontally into a tank of 20∘C water at 15 cm/s . How far will it travel before stopping?

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