Fluid Drag Force Models
Two identical spheres are released from rest into two different fluids. In fluid A, the resistive force is F_r = bv, while in fluid B, the resistive force is F_r = kv², where v is the speed of the sphere. If both spheres attain the same terminal velocity, how do the times required for each sphere to reach 90% of this terminal velocity compare?
A
The sphere in fluid B reaches 90% faster
B
The sphere in fluid A reaches 90% faster
C
Both reach 90% in the same time
D
Cannot be determined without specific values
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