A spring has a natural length of 20 cm. If a 25-N force is required to keep it stretched to a length of 30 cm, how much work is required to stretch it from 20 cm to 25 cm?
Answer to relevant QuestionsSuppose that 2 J of work is needed to stretch a spring from its natural length of 30 cm to a length of 42 cm. How much work is needed to stretch it from 35 cm to 40 cm?A cable that weighs 2lb/ft is used to lift 800 lb of coal up a mineshaft 500 ft deep. Find the work done.Suppose that for the tank in Exercise 21 the pump breaks down after 4.7 x 105 J of work has been done. What is the depth of the water remaining in the tank?Find the numbers such that the average value of f(x) = 2 + 6x – 3x2 on the interval [0, b] is equal to 3.Prove the Mean Value Theorem for Integrals by applying the Mean Value Theorem for derivatives (see Section 4.2) to the function F(x) = ∫x f (t) dt.
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