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Question
Constant forces →P=^i−2^j+3^k,→Q=−^i+3^j−^k and →R=2^i−4^j+3^k act on a particle. The work done when the particle is displaced from a point A with position vector 4^i−3^j−2^k to the point B with position vector 6^i+^j−3^k
Constant forces →P=^i−2^j+3^k,→Q=−^i+3^j−^k and →R=2^i−4^j+3^k act on a particle. The work done when the particle is displaced from a point A with position vector 4^i−3^j−2^k to the point B with position vector 6^i+^j−3^k
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Solution
The correct option is B 13
Resultant force acting on the particle = 2→i−3→j+5→k
Displacement vector = →AB=2→i+4→j−→k
Work done = Force. Displacement
∴ Work =(2→i−3→j+5→k).(2→i+4→j−→k)=4−12−5
=13 Joule
Resultant force acting on the particle = 2→i−3→j+5→k
Displacement vector = →AB=2→i+4→j−→k
Work done = Force. Displacement
∴ Work =(2→i−3→j+5→k).(2→i+4→j−→k)
∴ Work =(2→i−3→j+5→k).(2→i+4→j−→k)
=4−12−5
=13 Joule
=13 Joule
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