A sphere of radius r moving through a fluid with a speed v experiences a force opposing its motion whose magnitude is given by F = Crv, where C is a constant. Given that the dimensions of force are ML/T2, where M is mass, L is length, and T is time, what are the dimensions of the constant C?

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.

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