(Solved): As shown in the figure below, a box of mass \( m=5.60 \mathrm{~kg} \) is sliding across a horizont ...

As shown in the figure below, a box of mass \( m=5.60 \mathrm{~kg} \) is sliding across a horizontal frictionless surface with an initial speed \( v_{i}=2.50 \mathrm{~m} / \mathrm{s} \) \( k=2500 \mathrm{~N} / \mathrm{m} \). The box comes momentarily to rest after compressing the spring some amount \( x_{c} \). Determine the final compression \( x_{c} \) (in \( m \) ) of the spring. m