$A$ small steel sphere of mass $m$ is falling vertically through a viscous liquid with a constant speed $v$. Which row in the table correctly describes the changes with time in the kinetic energy and gravitational potential energy of the sphere?

  • A
    constant and equal to $\frac{1}{2} mv^2$ || decreases at a rate of $mgv$
  • B
    constant and equal to $\frac{1}{2} mv^2$ || decreases at a rate of $(mgv - \frac{1}{2} mv^2)$
  • C
    increases at a rate of $mgv$ || decreases at a rate of $mgv$
  • D
    increases at a rate of $mgv$ || decreases at a rate of $(\frac{1}{2} mv^2 - mgv)$

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