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7.1 Stel Coulomb se wet in woorde - NSC Physical Sciences - Question 7 - 2017 - Paper 1

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7.1 Stel Coulomb se wet in woorde. 7.2 Die grootte van lading Q1 en Q2 is onbekend. Die lad ing op Q1 is positief. Die lading op Q3 is 2 × 10⁻⁶ C en die ondervind ‘... show full transcript

Worked Solution & Example Answer:7.1 Stel Coulomb se wet in woorde - NSC Physical Sciences - Question 7 - 2017 - Paper 1

Step 1

Stel Coulomb se wet in woorde.

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Answer

Coulomb's law states that the magnitude of the electrostatic force between two point charges is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them.

Step 2

Die grootte van lading Q1 en Q2 is onbekend. Die lading op Q1 is positief.

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Answer

Since Q1 is positive and the net force on Q3 is directed to the left (towards Q1), Q2 must be a negative charge to contribute a force that pulls Q3 positive charge towards it.

Step 3

Bereken die groottes van die onbekende ladings Q1 en Q2.

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Answer

Using Coulomb's law:

F=kQ1Q2r2F = k \frac{Q_1 Q_2}{r^2}

Given:

  • The net force on Q3: F=0.3NF = 0.3 \, \text{N}
  • Distance between Q2 and Q3 is 1 m:
  • Use the distance for calculation:

F=kQ3Q212F = k \frac{Q_3 Q_2}{1^2} Where k (Coulomb's constant) can be approximated as 8.99×109Nm2/extC28.99 \times 10^9 \text{Nm}^2/ ext{C}^2.

Substituting values, we get:

For Q1:

  • From the forces: Fnet=FQ13+FQ23F_{net} = F_{Q13} + F_{Q23} And for calculations, 0.3=0.012=(9×109C)(Q2)10.3 = 0.012 = \frac{(9 \times 10^{-9} \, C) (Q_2)}{1} Hence, we can solve for Q2:

Q2=1.73×105CQ_2 = 1.73 \times 10^{-5} \, C Q1 can then be calculated similarly depending on the derived equation from the forces.

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