How to find done in moving a particle P (0,0) to Q(4,7) if the magnitude and direction of the force is given by v = &lt; 1 , 4 &gt; ?

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How to find done in moving a particle P (0,0) to Q(4,7) if the magnitude and direction of the force is given by       v    =    &amp;lt;    1    ,    4    &amp;gt;  ?

stunaire2dt · Accepted Answer

Suppose that, under the influence of a force             F      →        ,   a particle moves from point       P   to point       Q  Then, the work       W   done is given by,       W    =          F      →        ⋅                  P        Q            →      We have,             F      →        =          (      1      ,      4      )       and for the displacement                     P        Q            →                          P        Q            →        =    Q          (      4      ,      7      )        -    P          (      0      ,      0      )        =          (      4      ,      7      )            ∴    W    =          (      1      ,      4      )        ⋅          (      4      ,      7      )        =          (      1      )              (      4      )        +          (      4      )              (      7      )        =    4    +    28    =    32                 unit

How to find done in moving a particle P (0,0) to Q(4,7) if the magnitude...

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