Answer:
a) [tex]q=4.92*10^{-8} C[/tex]
b) [tex]m=4.026*10^{-6} kg[/tex]
Explanation:
From the question we are told that:
Separation distance [tex]d=2.65*10^{-2} m[/tex]
Acceleration 1 [tex]a_1=5.00*10^3 m/s^2,[/tex]
Acceleration 2 [tex]a_2=7.70*10^3 m/s^2,[/tex]
Mass 1 [tex]m_1=6.20*10^{-6}[/tex]
Generally the equation for Force is mathematically given by
[tex]F=ma[/tex]
For Particle 1
[tex]F=6.2*10^{-6} *5*10^3[/tex]
[tex]F=0.031 N[/tex]
Also
[tex]F=\frac{kq_1*q2}{r^2}[/tex]
Where
[tex]q_1=q_2[/tex]
Therefore
[tex]0.031=\frac{9*10^9*q^2}{(2.65*10^-2)^2}[/tex]
[tex]q=4.92*10^{-8} C[/tex]
b)
Generally the equation for Force is mathematically given by
[tex]F=ma[/tex]
[tex]0.031=7.7*10^3[/tex]
[tex]m=4.026*10^{-6} kg[/tex]