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## Homework Statement

A mass m = 0.5 kg is dropped from a height of 1.5m above the end of an uncompressed vertical spring with k = 500 N/m. What is the maximum compression of the spring?

## Homework Equations

f_sp = -kx

W_sp = 1/2 kx^2

W_nc = ΔK + ΔU

K = 1/2 mv^2

U = mgh

W = Fdcos∅

p = mv

## The Attempt at a Solution

My friend and me were in different groups and they did the problem differently and came to a different answer. We set up ours as mg(h_0 + Δx) = 1/2hΔx^2 and came to a answer of .18 and rounded to .20 for Δx. My friend got much higher number so I was wondering what the answer really was and how to do it correctly if we are wrong.