# A charge of #-2 C# is at #(4, -5)# and a charge of #1 C# is at #(-3 , -9 ) #. If both coordinates are in meters, what is the force between the charges?

By Coulomb's law,

By signing up, you agree to our Terms of Service and Privacy Policy

Using Coulomb's law, we can calculate the force between the charges:

[ F = \frac{k \cdot |q_1 \cdot q_2|}{r^2} ]

Where:

- ( k ) is Coulomb's constant, approximately ( 8.99 \times 10^9 , \text{N} \cdot \text{m}^2/\text{C}^2 )
- ( q_1 ) and ( q_2 ) are the magnitudes of the charges, ( q_1 = -2 , \text{C} ) and ( q_2 = 1 , \text{C} )
- ( r ) is the distance between the charges, given by the distance formula:

[ r = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} ]

Plugging in the values:

[ r = \sqrt{(-3 - 4)^2 + (-9 - (-5))^2} ] [ r = \sqrt{(-7)^2 + (-4)^2} ] [ r = \sqrt{49 + 16} ] [ r = \sqrt{65} ]

Now, calculating the force:

[ F = \frac{8.99 \times 10^9 \cdot |-2 \cdot 1|}{(\sqrt{65})^2} ] [ F = \frac{8.99 \times 10^9 \cdot 2}{65} ] [ F ≈ \frac{17.98 \times 10^9}{65} ] [ F ≈ 276.61 , \text{N} ]

So, the force between the charges is approximately ( 276.61 , \text{N} ).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How can capacitance be increased?
- If a current of #7 A# passing through a circuit generates #35 W# of power, what is the resistance of the circuit?
- What is the electric current produced when a voltage of #9 V# is applied to a circuit with a resistance of #36 Omega#?
- How much power is produced if a voltage of #6 V# is applied to a circuit with a resistance of #54 Omega#?
- Why is electric power transmitted at high voltages?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7