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=<1,4>?

umatisi6ar

umatisi6ar

Answered question

2023-03-11

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 = < 1 , 4 > ?

Answer & Explanation

stunaire2dt

stunaire2dt

Beginner2023-03-12Added 7 answers

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

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