Question

Four forces of equal magnitude are acting on an object as shown in the figure. Which of the following forces does the least work?Required to answer.



P

Q

R

S

​

Answer 1

Answer:

Correct option is P

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Answer 2

If the angle between forces P and Q is 60 degrees, and the angle between forces R and S is 30 degrees, then the force that does the least work is the force that is perpendicular to the displacement of the object.

From the figure, we can see that forces P and S are perpendicular to the direction of displacement, while forces Q and R have some component in the direction of displacement.

Therefore, either force P or force S will do the least work, as they are perpendicular to the direction of displacement.

Since all the four forces have the same magnitude, the force that does the least work is the force that is perpendicular to the direction of displacement, and in this case, either force P or force S will do the least work.


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