Three objects of the same mass begin their motion at the same height. One object falls straight down, one slides down a low-friction inclined plane, and one swings in a circular arc on the end of a string. All three objects end at the same height.
In which case does the object have the biggest total work done on it by all forces during its motion?
A. Free Fall
B. Incline
C. String
D. Same

The total maximum work will be the same in each case due to the dependency of the motion of objects on gravity alone. Hence, option (D) is correct.

What is free-fall motion?

When any object is released from a specific point, such that it moves further under the influence of gravity alone, then such a motion of the object is known as free-fall motion.

Since each of the given objects in the problem has the same masses (say m) and is released from the same height (say h). Then the work done by each of them would be,

W = h × Fg

Here,

Fg is the gravitational force whose value is Fg = m × g. (g is the gravitational acceleration)

So, with the same height, same mass, each object will undergo a downward motion due to gravity itself. Hence, maximum work will be the same for each case.

Thus, we can conclude that the total maximum work will be the same in each case due to the dependency of the motion of objects on gravity alone.

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