According to this equation, F=ma, how much force is needed to accelerate an 82-kg runner at 7.5m/s2?
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To solve this problem it is necessary to apply the concepts related to the electric field according to the definition of Coulomb's law.
The electric field is defined mathematically as a vector field that associates to each point in space the (electrostatic or Coulomb) force per unit of charge exerted on an infinitesimal positive test charge at rest at that point.
Mathematically this can be described as:
Where,
permittivity of free space
r = Distance
q = Charge
E = Electric Field
Our values are given as,
Replacing we have,
Therefore the amoun of charge on the outer surface of the larger shell is