A block of mass m moving at a speed v compressed a spring through a distance x before its speed is 13rd of its original value. The spring constant of the spring is 8mv2nx2. Find the value of n
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Solution
From Law of conservation of energy, Gain in potential energy = Loss in kinetic energy. From the data given in the question, 12kx2=12m(v2−(v3)2) ⇒kx2=8mv29⇒k=8mv29x2 Comparing this with spring constant given in the question 8mv2nx2