The accelerometer in a certain video game controller is constructed as shown in Figure P22.81. A block made of material that is an electrical conductor is grounded by a small stretched spring and is constrained to sliding along a rail. The net force on this block is zero. A nonconducting, positively charged block is fixed in position on the rail. When the magnitude of the electric force between the blocks is \(0.100 \mathrm{~N}\), the spring makes a \(45.0^{\circ}\) angle with the wall and is stretched \(3.00 \mathrm{~mm}\) from its equilibrium position. What is the spring constant? Ignore friction.

Data from Figure P22.81

www 45.0 ground 3.00 mm sliding block fixed block