Question

Calculate the distance between two protons such the electrical repulsive force between them is equal to the weight of either

Answer 1

Answer:

Explanation:

Electrostatic repulsive force between two protons that are at a distance r apart is given by,

 

 begin mathsize 12px style F subscript e space equals space fraction numerator e squared over denominator 4 πε subscript 0 straight r squared end fraction end style  ......................(1)

e is charge on each proton and ε0 is permitivity of free space

 

weight w = mpg  ..............................(2)

 

where mp is mass of proton and g is acceleration due to gravity

 

if electrostatic force equals weight, then    begin mathsize 12px style m subscript p g space equals space fraction numerator e squared over denominator 4 πε subscript 0 straight r squared end fraction space space o r space space space r space equals space square root of fraction numerator e squared over denominator 4 πε subscript 0 space m subscript p g end fraction end root end style  ............................(3)

values of constants can be substituted in eqn.(3) and the diostance r can be calculated