Pulling with a Winch

A winch located 5 m 5\text{ m} high up a wall pulls on a 25 kg 25\text{ kg} cargo box located at ground level and fixed to a frictionless slide rail. The winch keeps the pulling cable at a constant tension of 15 N . 15\text{ N}. At t = 0 , t = 0, the box is at rest at a distance of 10 m 10\text{ m} from the wall.

At what time (in seconds) does the box collide with the wall?


The answer is 6.333.

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