In the figure take q1 = 22uC and q2 = 20u. The force on q_1 points in the - x direction, What is the magnitude of the force on q_1? I don't know where to start, can someone help me?

You have to know position of q2, then use coulomb's law.

Sure! To calculate the magnitude of the force on q₇, you can use Coulomb's Law. Coulomb's Law states that the force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

The formula for Coulomb's Law is:

F = (k * |q₁| * |q₂|) / r²

Where:
- F is the magnitude of the force between the two charges
- k is the electrostatic constant (k ≈ 9 x 10^9 Nm²/C²)
- |q₁| and |q₂| are the magnitudes of the two charges
- r is the distance between the charges

In this case, you have the values for |q₁| and |q₂|. Since the force on q₁ points in the -x direction, we can determine that the charges q₁ and q₂ have opposite signs, meaning one of them is positive and the other is negative.

Now, you just need to find the distance (r) between the charges. If the distance is not given explicitly, you might need more information about the arrangement of the charges or their positions.

Once you have the values for |q₁|, |q₂|, and r, you can substitute them into Coulomb's Law and calculate the magnitude of the force (F) on q₁.