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A vertical spring stretches by 10 cm when a 1,2 kg block is hung on it. The bloc

ID: 2191361 • Letter: A

Question

A vertical spring stretches by 10 cm when a 1,2 kg block is hung on it. The block is then displaced an additional 6 cm downwards and released from rest. a) Show that the spring constant k is 120 N/m b) Find the time period and the maximum speed of resulting SHM c) Find the total mechanical energy of the oscillating system? d) When the block is 3 cm below its equilibrium position and moving downwards, find its velocity and the magnitude and direction of its acceleration. P/s: Can you make sense by image?

Explanation / Answer

From Hooke's Law

F = k*x so k = F/x = 1.20*9.8/0.0260 = 1176N/m

W = 1/2*k*x^2