A box of mass equal to 1.00 kg is given a quick push (the box starts from rest) by a ramp inclined at an angle of 30 ° with respect to the horizontal, using a spring mechanism (ideal) constant of spring k = 4000 N / m, initially compressed a length of 0.100 m. The box slides down the ramp with a coefficient of kinetic friction of 0.4 until it stops. What total distance D along the slide does the box travel before it stops? How much is the initial mechanical energy? How much is the friction force? Consider the acceleration of gravity as 9.80 m/s^2.
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