To stretch a spring 9,3 cm from its unstretched length, 23,8 Jof work must be done . What is the stifness constant (spring constant) of this spring in N/m ? (in N) Round off your result to 1 decimal place. Yanit: square

To find the stiffness constant (spring constant) of the spring, we can use Hooke's Law, which states that the force required to stretch or compress a spring by a distance x is proportional to that distance. Mathematically, this is expressed as: where:- is the force applied,- is the spring constant,- is the displacement from the unstretched length.The work done to stretch a spring is given by the equation: where:- is the work done,- is the spring constant,- is the displacement from the unstretched length.Given:- J,- cm = 0.093 m (since 1 cm = 0.01 m).We need to solve for : First, calculate \( (0.093)^2 \): Now, substitute this value back into the equation: Multiply both sides by 2 to isolate : Now, solve for : So, the stiffness constant (spring constant) of the spring is approximately N/m.