Question

Using Coulomb's Law to Clean the Air r y qcollector qsoot + Collector Soot particles moving upward Ground Modern smokestacks use devices called scrubbers to remove large amount of pollution in the form of small particles (soot). Scrubbers use a two steps process: electrons are first added to the soot particle, and an electric force then pulls the particle out of the smoke stream. Consider a soot particle of mass msoot = 1.5 nanograms (1.5e-12 kg), which corresponds to a diameter of a few micrometers. Some number of electrons have been added to give the particle a total charge qsoot. Suppose the collector has a total charge qcollector = 1.15e-06 C. If the separation between the collector and the soot particle is r = 0.15 m, What is the value of qsoot (in units of C) so that the electric force exerted on the particle is equal to its weight = mg ?. Use: g = 10 m/s^2, and k = 9E9 N m^2/C^2.

          Using Coulomb's Law to Clean the Air

r
y qcollector qsoot
+
Collector
Soot particles moving upward
Ground

Modern smokestacks use devices called scrubbers to remove large amount of pollution in the form of small particles (soot). Scrubbers use a two steps process: electrons are first added to the soot particle, and an electric force then pulls the particle out of the smoke stream.

Consider a soot particle of mass msoot = 1.5 nanograms (1.5e-12 kg), which corresponds to a diameter of a few micrometers. Some number of electrons have been added to give the particle a total charge qsoot. Suppose the collector has a total charge qcollector = 1.15e-06 C. If the separation between the collector and the soot particle is r = 0.15 m,

What is the value of qsoot (in units of C) so that the electric force exerted on the particle is equal to its weight = mg ?.
Use: g = 10 m/s^2, and k = 9E9 N m^2/C^2.

Using Coulomb's Law to Clean the Air

r
y qcollector qsoot
+
Collector
Soot particles moving upward
Ground

Modern smokestacks use devices called scrubbers to remove large amount of pollution in the form of small particles (soot). Scrubbers use a two steps process: electrons are first added to the soot particle, and an electric force then pulls the particle out of the smoke stream.

Consider a soot particle of mass msoot = 1.5 nanograms (1.5e-12 kg), which corresponds to a diameter of a few micrometers. Some number of electrons have been added to give the particle a total charge qsoot. Suppose the collector has a total charge qcollector = 1.15e-06 C. If the separation between the collector and the soot particle is r = 0.15 m,

What is the value of qsoot (in units of C) so that the electric force exerted on the particle is equal to its weight = mg ?.
Use: g = 10 m/s^2, and k = 9E9 N m^2/C^2.

Added by Laura P.

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