physics

The spring stiffness constant (k) is calculated by dividing the force exerted by the bungee cord by the amount it stretches (displacement): k = F/x Since the force is the mass of the bungee jumper multiplied by the acceleration due to gravity (mg), and the displacement is the difference between the unstretched length of the bungee cord (13 m) and the total distance the bungee jumper fell (35 m) (x = 35 m - 13 m = 22 m): k = (53 kg (9.8 m/s2))/22 m k = 236.36 N/m Hooke’s law states that the force exerted by an elastic material (such as a bungee cord) is directly proportional to the amount it is stretched. Therefore, the spring stiffness constant (k) of the bungee cord can be calculated using the equation F = kx, where F is the force, k is the spring stiffness constant, and x is the displacement.