The engine weighs 4500 newtons and it is lifted 1.5 meters up by the block and tackle system. To accomplish this, the mechanic must apply a force of 225 newtons while pulling a total of 37.5 meters of chain through the block and tackle pulley system. What is the work done by the block and tackle system?
6750
To calculate the work done by the block and tackle system, we can use the formula:
Work = Force × Distance
First, we need to find the force applied by the mechanic. Given that the engine weighs 4500 newtons and it is lifted up by the block and tackle system, this force equals the weight of the engine. So, the force applied by the mechanic is 4500 newtons.
Now let's calculate the distance. The mechanic pulls a total of 37.5 meters of chain through the block and tackle pulley system. It is important to note that the distance moved by the chain is the same as the distance moved by the engine because they are connected. Therefore, the distance is 1.5 meters.
We now have the force (225 newtons) and the distance (1.5 meters), so we can calculate the work done by the block and tackle system:
Work = Force × Distance
Work = 225 newtons × 1.5 meters
Work = 337.5 joules
Therefore, the work done by the block and tackle system is 337.5 joules.