According to Hooke's Law, the force required to hold the spring stretched x m beyond its natural length is given by f(x) = kx, where k is the spring constant. Suppose that 5 ) of work is needed to stretch a spring from its natural length of 32 cm to a length of 41 cm. Find the exact value of k, in N/m. k= N/m (a) How much work (in )) is needed to stretch the spring from 34 cm to 36 cm? (Round your answer to two decimal places.) ] (b) How far beyond its natural length (in cm) will a force of 30 N keep the spring stretched? (Round your answer one decimal place.) cm