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 J of work is needed to stretch a spring from its natural length of 26 cm to a length of 43 cm. Find the exact value of k, in N/m. k = | N/m (a) How much work (in J) is needed to stretch the spring from 31 cm to 35 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

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 J of work is needed to stretch a spring from its natural length of 26 cm to a length of 43 cm. Find the exact value of k, in N/m. k = | N/m (a) How much work (in J) is needed to stretch the spring from 31 cm to 35 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

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 33CT

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