Problem 9: A spring whose spring constant is 80.0 N/m vertically supports a mass of 1.0 kg is at the rest position. Find the distance by which the mass must be pulled down, so that on being released, it may pass the mean position with maximum velocity of one meter per second?
Solution
Given data spring constant = 80 N/m Mass attached = 1 kg
Maximum velocity = 1 m/s
Required Maximum distance from the mean position =?
Formula
Here v0 is the maximum velocity and x0 is the maximum distance from the mean position. Put the values,
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