Question

What is the effort required to lift a load $500N$ by using a lever with a mechanical advantage if it is $1.6$ ?

Answer 1

Hint: the force amplification achieved by using a tool or mechanical system is known as a mechanical advantage. This is modeled as the law of the lever. A lever as a rod that is capable of rotating on its axis.
As per the given data,
Output force is $500N$
Mechanical average is $1.6$

Formula to be used :
Mechanical advantage is given by
($mechanical\ advantage=\dfrac{output\ force({{F}_{A}})}{input\ force({{F}_{B}})}$)

Complete answer:
The device used in Mechanical advantage preserves the input power and trades off forces against the movement for the required amplification. Components of the machine which are used to balance forces and movement in this way are called mechanisms. An ideal mechanism transfers power without any kind of change in its value.
Now a day’s rotatory levers are widely used such as gears, pulleys, or friction drives in a mechanical power transmission scheme. The power into and out of the lever is always constant. The power is equivalent to the product of the force and velocity

Consider two points a and b which are at distances from the fulcrum to points A and B and if the force ${{F}_{A}}$applied to A is the input force and ${{F}_{B}}$ exerted at B is the output, the ratio of the velocities of points A and B is given by a/b so the ratio of the output force to the input force, or mechanical advantage.
Mathematically,
$mechanical\ advantage=\dfrac{{{F}_{B}}}{{{F}_{A}}}$
Where,
${{F}_{B}}$ Is the output force
${{F}_{A}}$ Is the input force
Now when we look at the situation given in the question:
$\begin{align}
  & mechanical\ advantage=\dfrac{{{F}_{B}}}{{{F}_{A}}} \\
 & \Rightarrow {{F}_{A}}=\dfrac{{{F}_{B}}}{mechanical\ advantage} \\
 & \Rightarrow {{F}_{A}}=\dfrac{500}{1.6} \\
 & \Rightarrow {{F}_{A}}=312.5N \\
\end{align}$
So the effort required to lift a load of $500N$ is $312.5N$

Note:
The lever is a movable rod that pivots on a fulcrum attached to or positioned at a fixed point. It works by applying forces at different distances from the fulcrum. The class of the lever is determined by the position of the fulcrum.