Bank robbers have pushed a 1000 kg safe to a second-story floor-to-ceiling window. They plan to break the window, then lower the safe 3.0 m to their truck. Not being too clever, they stack up 500 kg of furniture, tie a rope between the safe and the furniture, and place the rope over a pulley. Then they push the safe out the window. The problem was that the acceleration was too large and the safe slammed on the truck with large velocity (6.1 m/s), breaking through the truck floor. Now the robbers decide they learned their lesson. They plan to redo this action and decide that the safe should not hit the (new) truck with velocity greater than 1.5 m/s. What is the maximum acceleration that the safe can have in order to limit the impact velocity to 1.5 m/s? What is the minimum coefficient of friction that they need to have this work?
Bank robbers have pushed a 1000 kg safe to a second-story floor-to-ceiling window. They plan to break the window, then lower the safe 3.0 m to their truck. Not being too clever, they stack up 500 kg of furniture, tie a rope between the safe and the furniture, and place the rope over a pulley. Then they push the safe out the window.
The problem was that the acceleration was too large and the safe slammed on the truck with
large velocity (6.1 m/s), breaking through the truck floor.
Now the robbers decide they learned their lesson. They plan to redo this action and decide that the
safe should not hit the (new) truck with velocity greater than 1.5 m/s.
What is the maximum acceleration that the safe can have in order to limit the impact velocity to
1.5 m/s?
What is the minimum coefficient of friction that they need to have this work?
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