Physics question is in the image. Electrically Charged Air PollutionThe combustion of fossil fuels produces micron-sized particles of soot, one of the majorcomponents of air pollution. The terminal speeds of these particles are extremely small,so they remain suspended in air for very long periods of time. Furthermore, very smallparticles almost always acquire small amounts of charge from cosmic rays and variousatmospheric effects, so their motion is influenced not only by gravity but also by theEarth's weak electric field.Consider a small spherical particle of radius r, density r, and charge q. A small spheremoving with speed v experiences a drag force Farag = 6anrv, where ŋ is the viscosity ofthe air.a) A particle falling at its terminal speed Vterm İs in equilibrium with no net force.Write Newton's first law for this particle falling in the presence of a downwardelectric field of strength E, then solve to find an expression for Vterm.b) Soot is primarily carbon, and carbon in the form of graphite has a density of 2200kg/m3. In the absence of an electric field, what is the terminal speed in mm/s of a1.0 mm-diameter graphite particle?(The viscosity of air at 20°C is 1.8 x 105 kg/m s.)c) The Earth's electric field is typically (150 N/C, downward). In this field, what is theterminal speed in mm/s of a 1.0- mm-diameter graphite particle that has acquired250 extra electrons?

Given: The radius of the spherical particle is r. The charge on the particle is q. The drag force on…

Electrically Charged Air Pollution The combustion of fossil fuels produces micron-sized particles of soot, one of the major components of air pollution. The terminal speeds of these particles are extremely small, so they remain suspended in air for very long periods of time. Furthermore, very small particles almost always acquire small amounts of charge from cosmic rays and various atmospheric effects, so their motion is influenced not only by gravity but also by the Earth's weak electric field. Consider a small spherical particle of radius r, density r, and charge q. A small sphere moving with speed v experiences a drag force Farag = 6nnrv, where n is the viscosity of the air. a) A particle falling at its terminal speed Vterm İs in equilibrium with no net force. Write Newton's first law for this particle falling in the presence of a downward electric field of strength E, then solve to find an expression for Vterm. b) Soot is primarily carbon, and carbon in the form of graphite has a density of 2200 kg/m3. In the absence of an electric field, what is the terminal speed in mm/s of a 1.0 mm-diameter graphite particle? (The viscosity of air at 20°C is 1.8 x 105 kg/m s.) c) The Earth's electric field is typically (150 N/C, downward). In this field, what is the terminal speed in mm/s of a 1.0- mm-diameter graphite particle that has acquired 250 extra electrons?