How to calculate work done when the applied force and displacement is in opposite direction
Answers
Answer:
Explanation:
Work done is f.s where f is the force vector and s is the displacement vector. If they are in opposite directions, then work done is negative.
When applied force and displacement are in opposite directions to each other, work done, which is dot product of these two vectors, is negative. Remember cos 180 = -1
This negative energy is stored as potential energy of the system.
Take two situations separately
If displacement is against the force applied ,the applied force does a work. (—work )
But consider why the displacement will take place in opposite direction ? ,There can be a situation where the object will be moving opposit to the direction of the force with certain Vel. before the force was applied. The object then was having KE
This KE will be brought back to zero ( ie Vel will be brought back to zero ) by the applied force in opposite to the direction of the Vel .by doing - ve work. After this phase is over the displacement will take place in the direction of the force applied .The force now will do +ve work
In another situation if you compress a spring in spring block system & leave it ,it will oscillate.
In oscillation process the work done by th spring force when the block leaves the mean position is always —ve. This —ve work done is stored in the form of PE in the spring
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