QUESTION IMAGE
Question
coulombs law quiz review (quiz will be 10/27)
- two charges that each have a magnitude of 0.03 c are 10m away from each other.
what is the force between them?
- which particle has a negative charge?
- which particle has a positive charge?
- which particle is neutral?
Step1: Write Coulomb's Law formula
Coulomb's Law is \( F = k\frac{q_1q_2}{r^2} \), where \( k = 9\times10^{9}\ N\cdot m^{2}/C^{2}\), \(q_1 = q_2=0.03\ C\), and \(r = 10\ m\).
Step2: Substitute values into formula
Substitute the values: \( F=9\times 10^{9}\times\frac{0.03\times0.03}{10^{2}}\).
First calculate \(0.03\times0.03 = 0.0009\), then \(\frac{0.0009}{100}=9\times10^{-6}\).
Then \(F = 9\times10^{9}\times9\times10^{-6}\).
Using the rule of exponents \(a^m\times a^n=a^{m + n}\), we have \(F=(9\times9)\times10^{9+( - 6)}=81\times10^{3}\).
For question 2: Electrons are negatively - charged particles.
For question 3: Protons are positively - charged particles.
For question 4: Neutrons are neutral particles.
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\(8.1\times 10^{4}\ N\)