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An Amazon package (2 kg) starts from rest, then begins to slide down a 4 m tall ramp that is inclined at
30°. The package then travels 12 m along a horizontal surface where it pushes into a spring (k = 3000
N/m). The package compresses the spring a distance x before coming momentarily to rest. Then the
package is pushed in the opposite direction by the spring. The coefficient
of friction between the ramp/floor and the package is 0.21. Calculate x
and determine if the package will stop before it gets back to the ramp or
if it will begin to slide up the ramp.
