Problem

The force exerted on the 10-kg mass by the linear spring is F = –ks, where k is the spring...

The force exerted on the 10-kg mass by the linear spring is F = –ks, where k is the spring constant and s is the displacement of the mass relative to its position when the spring is unstretched. The value of k is 40 N/m. The mass is in the position s = 0 and is given an initial velocity of 4 m/s toward the right. Determine the velocity of the mass as a function of s.

Strategy: Use the chain rule to write the acceleration as

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