**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 v_{0} is the maximum velocity and x_{0} is the maximum distance from the mean position. Put the values,

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