A series of experiments is conducted to analyze the effect of fluid resistance o

Question

A series of experiments is conducted to analyze the effect of fluid resistance on the motion of various small objects of mass m falling from rest in columns of different fluids. In all cases the acceleration due to gravity is g = 10 m/s^2 and the magnitude of the fluid resistance force can be modeled by the equation F_r = kv where k is a constant and v is the magnitude of the velocity of the object. Which of the statements below are correct? The terminal velocity reached by the falling object will be the greatest in the case of the largest mass, regardless of the fluid. The terminal velocity reached by the falling object will be the greatest in the case of the largest fluid coefficient k. regardless of the mass of the falling object. The terminal velocity reached by the falling object will be the greatest in the case of the largest ratio k/m. The terminal velocity reached by the falling object will be the greatest in the case of the smallest ratio k/m. The terminal velocity will be reached faster when the falling object is heavier, regardless of the fluid. The terminal velocity will be reached faster when the fluid has the smallest coefficient k, regardless of the object. The terminal velocity velocity will be reached faster when the ratio m/k is the greatest. The terminal velocity will be reached faster when the ration m/k is the smallest.

Explanation / Answer

here,

For Falling Object

Vt is Directly proportinal to mass of ball

The terminal veloity reached by the falling object will be the gratest in case of larget mass regardless of fluid

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