A small box with mass 0.600 kg is placed against a compressed spring at the bottom of an incline that slopes upward at 37.0° above the horizontal. The other end of the spring is attached to a wall. The coefficient of kinetic friction between the box and the surface of the incline is mk = 0.400. The spring is released and the box travels up the incline, leaving the spring behind. What minimum elastic potential energy must be stored initially in the spring if the box is to travel 2.00 m from its initial position to the top of the incline?

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A small box with mass 0.600 kg is placed against a
compressed spring at the bottom of an incline that slopes upward
at 37.0° above the horizontal. The other end of the spring
is attached to a wall. The coefficient of kinetic friction between
the box and the surface of the incline is mk = 0.400.
The spring is released and the box travels up the incline, leaving
the spring behind. What minimum elastic potential energy
must be stored initially in the spring if the box is to travel 2.00 m
from its initial position to the top of the incline?

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