Physics Fluid Dynamics PMDC Conceptual Practice
PMDC Verified Question 21 of 37
When the upward viscous drag force acting on a falling droplet becomes exactly equal to the droplet's downward weight, what is the resulting state of the droplet's motion?
A
It decelerates slowly until stopping.
B
It falls with constant speed.
C
It accelerates indefinitely.
D
It falls with high acceleration.
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: It falls with constant speed.
Concept:

Newton's First Law states that if the net force on an object is zero, its acceleration is zero, resulting in a constant velocity.

Formula:

$$ F_{\text{net}} = mg - F_D = 0 \implies a = 0 $$

Solution:

  • As the droplet accelerates due to gravity, its velocity increases, which in turn increases the opposing drag force.
  • Eventually, the drag force \( F_D \) grows large enough to exactly balance the gravitational weight \( mg \).
  • At this equilibrium, net force is zero. Acceleration ceases.
  • The droplet continues to fall at a steady, maximum constant speed known as "terminal velocity".


Why other options are incorrect:

If forces balance, acceleration is zero, eliminating Options C and D. It won't stop (Option A) because the object maintains its inertia (velocity) from the moment the forces balanced.

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