WILL MARK AS BRAINLIEST…,.. A constant force vector f =2i cap+3j cap-5k cap acts on a particle and displaces it from (1,2,-3) m to (2,5,-1

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WILL MARK AS BRAINLIEST…,.. A constant force vector f =2i cap+3j cap-5k cap acts on a particle and displaces it from (1,2,-3) m to (2,5,-1) m. find the work done by the force .

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Ladonna 4 years 2021-08-12T16:27:05+00:00 1 Answers 24 views 0

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  1. thienan
    0
    2021-08-12T16:29:01+00:00
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    Explanation:

    Given that,

    Force, F=2i+3j-5k

    The particle displaces from (1,2,-3) m to (2,5,-1) m.

    We need to find the work done by the force. Work done by the force is given by :

    W = Fd

    It is equal to the dot product of force and displacement.

    Displacement from (1,2,-3) m to (2,5,-1) m is (2-1, 5-2, -1-(-3)) or (1, 3, 2) m

    Work done,

    W=F{\cdot} d\\\\W=(2i+3j-5k){\cdot} (i+3j+2k)

    We know that, i.i=j.j=k.k=1

    So,

    W=1\ J

    So, the work done by the force is 1 J.

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