Under what conditions is the work done i) maximum and ii) minimum?
Step 1: Work:
Step 2: Condition for the maximum work:
Work,
Where, force is , displacement is and angle between the force and the displacement is .
Since for a given system, Force and displacement can not change. So, for maximum work should be maximum.
Step 3: Condition for minimum work:
Since for a given system, Force and displacement can not change. So, for minimum work should be minimum.
Hence, the required condition for maximum work is and condition for minimum work is .