A body of mass is dropped from rest from a point above the top of a light vertical…

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Work Energy and Power · Work Energy and Power

Problem

A body of mass 0.50 kg0.50\,\text{kg} is dropped from rest from a point 0.80 m0.80\,\text{m} above the top of a light vertical spring fixed to the floor. As the body moves, it is guided by a frictional sleeve that exerts a constant opposing force of 1.5 N1.5\,\text{N}. The spring has a force constant of 200 N m−1200\,\text{N m}^{-1}. Answer the following: (a) Determine the maximum compression produced in the spring. (b) Calculate the speed of the body when the spring is compressed to half of this maximum value.

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