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A box with mass M=10 kg is on a table with coefficient of friction μ=0.1. The...

A box with mass M=10 kg is on a table with coefficient of friction μ=0.1. The box starts moving with velocity V=10 m/s toward a spring with the spring which is fixed on a wall at the end of the table and has a spring constant k=1 N/m. The box reaches the spring after moving distance d=10 cm on the table.
a) Find the velocity u=? of the box when it reaches the spring?
b) What is the maximum compression l=? of the spring before the box stops?
c) After the spring decompress and pushes back the box, what is the velocity of the box w=? when the spring reaches to its original length?

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