MANY AIRBOREN BACTERIA CARRY A CHARGE ON THEIR SURFACE. CONSIDER TWO ROUGHLY SPH

Question

MANY AIRBOREN BACTERIA CARRY A CHARGE ON THEIR SURFACE. CONSIDER TWO ROUGHLY SPHERICAL BACTERIA, EACH HAVING A MASS OF 1.40 X10^-14 KG. EACH ONE CARRIES A CHARGE OF 1.20 X 10^-15 C. THE TWO BACTERIA ARE SEPERATED BY 1.00 X10^-5 M.

A) FIND THE MAGNITUDE OF THE ELECTRICAL FORCE THAT THESE BACTERIA EXERT ON EACHOTHER. COMPARE IT WITH THE MAGNITUDE OF THE WEIGHT THAT THE EARTH EXERTS ON THEM,

B) SUPPOSE THERE WERE A LOT OF AIRBORNE BACTERIA IN AN AIR SAMPLE, ALONG WITH DUST PARTICLES THAT WOULD ALSO TEND TO BE CHARGED. WOULD YOU EXPECT THEM TO FALL AND QUICKLY COME TO REST ON THE SURFACE UNDERNEATH THEM LIKE LARGER OBJECTS WOULD? EXPLAN.

Explanation / Answer

A) electric force Fe = kq1q2/d^2

= (9 x 10^9 x 1.20 x 10^-15 x 1.20 x 10^-15 ) / (1 x 10^-5)^2

= 1.296 x 10^-10 N

b) gravitational force = mg = 1.4 x 10^-14 x 9.81

= 1.37 x 10^-13 N

electric force is more than gravitational force .

so they will not fall. they will be suspeded due to electric force.

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