A pulley system has a mechanical advantage of 3, and an object weighing 9 Newtons must be lifted 15 meters. How much force must be applied to lift the object?
Use the following equation to find the answer:
MA=Fo/Fi
Where MA is the mechanical advantage, Fo is the force applied to the system, and Fi is the force required to lift the object.
Fi = Fo/MA
Fi = 9 N/3
Fi = 3 N
Therefore, 3 Newtons of force must be applied to lift the object 15 meters.
To find the force needed to lift the object, we can use the equation:
MA = Fo / Fi
Where:
MA is the mechanical advantage of the pulley system.
Fo is the output force (the force needed to lift the object).
Fi is the input force (the force applied to the pulley system).
Given that the mechanical advantage (MA) is 3, and the object weighs 9 Newtons, we can set up the equation:
3 = Fo / Fi
We need to rearrange the equation to solve for Fo (the output force) because that's what we're trying to find.
From the equation above, we can multiply both sides by Fi to isolate Fo:
3 * Fi = Fo
Now, we need to determine the input force (Fi) that needs to be applied to the pulley system. The input force is the force required to lift the object divided by the mechanical advantage:
Fi = Fo / MA
Now we can substitute the value of the mechanical advantage (MA) and the weight of the object (9 Newtons) into the equation:
Fi = 9 / 3
Simplifying the equation:
Fi = 3 Newtons
Now that we know the input force (Fi) required, we can substitute it back into the equation we derived earlier:
3 * Fi = Fo
3 * 3 = Fo
Fo = 9 Newtons
Therefore, a force of 9 Newtons must be applied to lift the object.
To find the amount of force that must be applied to lift the object, we can use the equation:
MA = Fo / Fi
Where:
MA = mechanical advantage
Fo = output force (force required to lift the object)
Fi = input force (force applied to the pulley system)
In this case, the mechanical advantage is given as 3, and the weight of the object is 9 Newtons. We need to find the output force.
Rearranging the equation, we get:
Fo = MA * Fi
Substituting the given values:
Fo = 3 * 9
Fo = 27 Newtons
Therefore, a force of 27 Newtons must be applied to lift the object.