Answer:
question5: F=74312.5N
question6: charge at the end of antenna=0.37N
Explanation:
Coulomb's law: the magnitude of the force of attraction or repulsion due to two charges is proportional to the product of the magnitude of the charges and inversely proportional to the square of distance between the charges.
⇒[tex]F\alpha\frac{q1*q2}{r^{2}}[/tex]
∴[tex]F=k\frac{q1*q2}{r^{2}}[/tex]
where [tex]F[/tex] is the force of attraction or repulsion
[tex]k[/tex] is Coulumb's constant=[tex]9*10^{9}Nm^{2}C^{-2}[/tex]
[tex]q1[/tex] and [tex]q2[/tex] are the magnitude of the charges
[tex]r[/tex] is the distance between two charges
The force between the two charges is attractive if they are of different polarity
The force between the two charges is repulsive if they are of same polarity
Question5:
Given: q1=0.041 C, q2=0.029 C, r=12 m
therefore by Coulumb's law,
[tex]F=9*10^{9}*\frac{0.041*0.029}{12^{2}}[/tex]
[tex]F=74312.5N[/tex]
Question6:
Given: q1=[tex]3*10^{-18}C[/tex], r=5 m, F=[tex]4*10^{-11}N[/tex]
therefore by Coulumb's law,
[tex]4*10^{-11}=9*10^{9}*\frac{3*10^{-18}*q2}{5^{2}}[/tex]
⇒[tex]q2=\frac{4*10^{-11}*25}{9*10^{9}*3*10^{-18}} \\=0.37C[/tex]
