Can anyone help me slove this question?

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SUMMARY

The discussion focuses on calculating the terminal speed of a bacterium in water using the drag force equation F drag = −Crv. The bacterium has a mass of 4 x 10-15 kg, a drag coefficient of 0.02 N • s/m2, and a radius of 1 μm. Participants are guided to draw a force diagram to assess equilibrium and calculate the bacterium's speed and the time taken to fall 2.5 m in a lake.

PREREQUISITES
  • Understanding of drag force equations
  • Basic physics concepts of equilibrium
  • Knowledge of terminal velocity calculations
  • Familiarity with the properties of spherical objects in fluid dynamics
NEXT STEPS
  • Study the derivation of the drag force equation in fluid dynamics
  • Learn about terminal velocity and its applications in biology
  • Explore the effects of varying drag coefficients on falling objects
  • Investigate the impact of fluid density on terminal speed calculations
USEFUL FOR

This discussion is beneficial for physics students, biologists studying microorganisms, and anyone interested in fluid dynamics and terminal velocity calculations.

dangkykodc
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Calculate the terminal speed for a bacterium in water. Use the expression for the drag force in the equation
F drag = −Crv .
Assume the bacterium has a mass m = 4 10−15 kg, a drag coefficient
C = 0.02 N • s/m2 and can be approximated as a sphere of radius r = 1 μm.
a. Draw a force diagram for the bacterium. Is it in equilibrium? Why?
b.Find the speed (size of the velocity) of the bacterium
c.How long does it take a bacterium to fall from the top of a lake of depth 2.5 m to the bottom if it falls at this speed?
 
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