According to Hooke's Law, the force required to hold the spring stretched x m beyond is natural length is given by x} = kx, where k is the spring constant. Suppose that 3 J o |work is needed to stretch a spring from its natural length of 32 cm to a length of 46 cm. Finc t1e exact value of k, in Him. k = Nx'm (a) How much work (in J) is needed to stretch the spring from 36 cm to 41 cm? (Round your answer to two decimal places.) J {In} -low far beyonc its natural length (in cm) will a force of 40 N keep the spring stretched? (Round your answer one decimal place.) cm