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Matter In Our Surroundings

Question
CBSEENSC9006300

In each of the following a force F is acting on an object of mass m. The direction of displacements is from west to east shown by the longer arrow. Observe the diagrams carefully and state whether the work done by the force F is negative, positive or zero.

 

 

Solution

Given, 
Force is acting on an object of mass m.
(a) We have,

Force is perpendicular to displacement,
            straight W space equals space Fs space cos space 90 degree space equals space 0 space
(b) Here, Force and displacement are in the same direction.
                   
           straight W space equals space Fs space Cos space 0 degree space equals space Fs space equals space straight a space positive space work.
(c) In this case, Force and s are in opposite direction. 
Therefore, 
straight W space equals space Fs space cos space 180 degree space

space space space space space equals space Fs left parenthesis negative 1 right parenthesis space

space space space space space equals space minus Fs space comma space straight a space negative space work.