16. A 4-kg object sliding at speed 5 m/s along smooth horizontal surface (see fi

Question

16. A 4-kg object sliding at speed 5 m/s along smooth horizontal surface (see figure)
encounters a rough surface, 1.5 meters wide. The coefficient of kinetic friction over the
rough surface is 0.20. After leaving the rough surface, the object continues over smooth
surface until it strikes the end of a horizontally-aligned spring, whose spring constant is
200 N/m, and whose opposite end is attached to a wall. What will be the maximum
compression of the spring, in meters?
(a) 0.62
(b) 0.88
(c) 0.98
(d) 1.17
(e) None of these

Explanation / Answer

energy at beginning=.5*m*v^2 energy loss=umg*1.5 so energy after passing the surface=.5*m*v^2-u*mg*1.5=38.24 so 38.24=.5*K*x^2 so x=.62

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