Solved: A 3.00-kg block is connected to two ideal

Chapter 7, Problem 7.70

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A 3.00-kg block is connected to two ideal horizontal springs having force constants \(k_{1}=25.0 \mathrm{~N} / \mathrm{cm}\) and \(k_{2}=20.0 \mathrm{~N} / \mathrm{cm}\) (Fig. P7.70). The system is initially in equilibrium on a horizontal, frictionless surface. The block is now pushed 15.0 cm to the right and released from rest. (a) What is the maximum speed of the block? Where in the motion does the maximum speed occur? (b) What is the maximum compression of spring 1?

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