Final Answer:
Yes, the construction workers can effectively use a rope and pulley system to move the wooden timbers away from each other and dismantle the old bridge.
Step-by-step explanation:
In a rope and pulley system, mechanical advantage plays a crucial role in determining the system's effectiveness. The mechanical advantage (MA) is calculated as the ratio of the output force to the input force. In this scenario, the workers apply a force to one end of the rope, causing the wooden timbers to move away from each other. The pulley system multiplies this force, making it easier for the workers to achieve the desired separation between the timbers.
The mechanical advantage of a pulley system is influenced by the number of ropes and pulleys involved. The more ropes and pulleys, the higher the mechanical advantage. For instance, a system with a single fixed pulley has a mechanical advantage of 1, as it doesn't multiply the force. However, if a block and tackle arrangement with multiple pulleys is used, the mechanical advantage can be significantly increased. This is advantageous for the construction workers, allowing them to efficiently move the timbers with less applied force.