g1=5*10^-9кл r=0,03м F=200*10^-3H k=9*10^9h*m2/кл2 g2-?

To find the value of \( g_2 \) in this context, we can assume that \( g_1 \) and \( g_2 \) are charges, and the force \( F \) between them is given by Coulomb's law:

\[ F = k \frac{|g_1 \cdot g_2|}{r^2} \]

Where:

• \( F \) is the force between the charges (given as \( 200 \times 10^{-3} \) N)
• \( g_1 \) is the first charge (given as \( 5 \times 10^{-9} \) C)
• \( g_2 \) is the second charge (which we need to find)
• \( r \) is the distance between the charges (given as \( 0.03 \) m)
• \( k \) is Coulomb's constant (given as \( 9 \times 10^9 \, \text{N m}^2/\text{C}^2 \))

Let's rearrange the equation for \( g_2 \):

\[ F = k \frac{|g_1 \cdot g_2|}{r^2} \implies |g_2| = \frac{F \cdot r^2}{k \cdot |g_1|} \]

Now, substituting in the values:

1. \( F = 200 \times 10^{-3} = 0.2 \, \text{N} \)
2. \( r = 0.03 \, \text{m} \)
3. \( k = 9 \times 10^9 \, \text{N m}^2/\text{C}^2 \)
4. \( g_1 = 5 \times 10^{-9} \, \text{C} \)

Now we can compute \( |g_2| \):

\[ |g_2| = \frac{0.2 \cdot (0.03)^2}{9 \times 10^9 \cdot (5 \times 10^{-9})} \]

Calculating the numerator first:

\[ 0.2 \cdot (0.03)^2 = 0.2 \cdot 0.0009 = 0.00018 \]

Now calculating the denominator:

\[ 9 \times 10^9 \cdot (5 \times 10^{-9}) = 9 \times 5 = 45 \, \text{N m}^2/\text{C} \]

Now, we can find \( |g_2| \):

\[ |g_2| = \frac{0.00018}{45} \approx 4 \times 10^{-6} \, \text{C} \]

So, \( g_2 \approx 4 \times 10^{-6} \, \text{C} \).