A box of **2 kg** is sliding along a floor with speed **\(v_{1} = 5 m/s\)**. It then runs into and compresses a spring until
the box momentarily stops. Its path to the initially relaxed spring is
frictionless, but as it compresses the spring, a kinetic frictional force
from the floor acts on the box. The kinetic frictional coefficient is
**\(μ_{k} = 0.5\)**. The maximum of the static frictional coefficient is**\(μ_{s} = 0.7\)**.
The spring constant is **k = 160 N/m**. Ignore the size of the box.

calculate the **speed** of the box
when it re-enters the frictionless floor

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