The work done to lift the barbell should be stored in the form of potential energy. So, it is required to do three times more work for lifting the barbell upto three times more height.
What is work done?
The amount of force applied on an object to lift or shift the object upto some upto vertical distance or horizontal distance is known as work done.
Let us consider the barbell of mass m. Then, work is done to lift the barbell upto some specific height (say h) will get stored in the form of potential energy. Then,
W = U
W = mgh .............................................................(1)
Here,
g is the gravitational acceleration.
Now, if the same barbell is to be lifted upto a height of 3 times as of initial. Then, the new height is, h' = 3h. And new work done is,
W' = U'
W' = m × g × h'
W' = m × g × (3h)
W' = 3mgh
W' = 3W
Thus, we can conclude that it is required to do three times more work for lifting the barbell upto three times more height.
Learn more about the work done here:
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