Physics 9702 · AS & A Level · Momentum and Newton's laws of motion

Momentum and Newton's laws of motion — practice question

For a raindrop of mass $m$ descending with speed $v$, the resultant force $F$ is described by the equation $F = mg - kv^2$, where $k$ is a constant and $g$ is the acceleration of free fall. What is the raindrop’s velocity when it has reached a constant (terminal) velocity?

  • A$\sqrt{\frac{k}{mg}}$
  • B$\frac{k}{mg}$
  • C$\sqrt{\frac{mg}{k}}$
  • D$\frac{mg}{k}$

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