9. A particle of mass m is moving along the smooth horizontal floor of a tank which is filled with viscous liquid. At time t the particle has a speed v. As the particle moves it experiences a resistive force of magnitude (kmv – ma) N, where k and a are constants. (a) Show that dv (a – kv) (b) If v, is the speed of the particle at time t = 0 s, show that: In - kv
9. A particle of mass m is moving along the smooth horizontal floor of a tank which is filled with viscous liquid. At time t the particle has a speed v. As the particle moves it experiences a resistive force of magnitude (kmv – ma) N, where k and a are constants. (a) Show that dv (a – kv) (b) If v, is the speed of the particle at time t = 0 s, show that: In - kv
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Transcribed Image Text:9. A particle of mass m is moving along the smooth horizontal floor of a tank which is filled
with viscous liquid. At time t the particle has a speed v. As the particle moves it experiences
a resistive force of magnitude (kmv – ma) N, where k and a are constants.
(a) Show that
dv
(a – kv)
dt
(b) If v, is the speed of the particle at time t = 0 s, show that:
- kv,
In
a – kv
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