A labourer raises a load of mass 120kg by using a system of 6 pulleys he exert a force of 400N 400N on the rope calculate
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There are also several ways you can use the six pulleys with different mechanical advantages.
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To calculate the force required to raise the load using a system of pulleys, we need to consider the mechanical advantage provided by the pulley system.
The mechanical advantage of a pulley system is determined by the number of ropes supporting the load. In this case, there are 6 pulleys involved, which means there are 6 ropes supporting the load.
The mechanical advantage, MA, can be calculated using the formula:
MA = Number of supporting ropes
In this case, MA = 6.
Now, since we know the load mass is 120kg, we can find the force required considering the equation:
Force = Mass × Acceleration due to gravity
The acceleration due to gravity is typically around 9.8 m/s^2.
Force = 120 kg × 9.8 m/s^2
Force = 1176 N
Therefore, the force required to raise the load is 1176 Newtons.
It's important to note that the force exerted by the labourer on the rope might vary depending on the friction and efficiency of the pulley system. In this case, the force exerted by the labourer is given as 400N in the question, but it does not directly correspond to the required force to raise the load.