A machine was used to lift a load of 30N through a distance of 8cm calculate the mechanical advantge of the machine
To calculate the mechanical advantage of a machine, you need to know two things: the input force and the output force.
In this case, the load being lifted is 30N. However, we don't have information about the input force directly. Instead, we have the information about the distance. To determine the input force, we can use the equation:
Work = Force × Distance
In this scenario, the work done to lift the load is equal to the input force multiplied by the distance it was lifted. Rearranging the equation, we have:
Force = Work / Distance
Given that the work is equal to Force × Distance, we can substitute it in:
Force = (Force × Distance) / Distance
The distances on the top and bottom of the equation cancel out, giving us:
Force = Force
This equation tells us that the force (input force) needed to overcome the load is equal to the weight of the load itself.
So in this case, the input force is also 30N.
Now we can calculate the mechanical advantage using the formula:
Mechanical Advantage = Output Force / Input Force
Substituting the values:
Mechanical Advantage = 30N / 30N = 1
Therefore, the mechanical advantage of the machine is 1.