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Question
Constant forces P=2^i−5^i+6^k and 4Q=−^i+2^i−^k act on a particle. Determine the work done when the particle is displaced from point A with position vector 4^i−3^i−2^k to a point B with position vector 6^i+^i−3^k
Constant forces P=2^i−5^i+6^k and 4Q=−^i+2^i−^k act on a particle. Determine the work done when the particle is displaced from point A with position vector 4^i−3^i−2^k to a point B with position vector 6^i+^i−3^k
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Solution
The correct option is A −15
The displacement vector of the particle is =→AB
=2i+4j−k ...(i)
Net force on the particle is
=→P+4→Q
=2i−5j+6k−i+2j−k
=i−3j+5k...(ii)
Work done =→F.→d
=(2i+4j−k).(i−3j+5k)
=2−12−5
=−17+2
=−15 joules.
The displacement vector of the particle is =→AB
=2i+4j−k ...(i)
Net force on the particle is
=→P+4→Q
=2i−5j+6k−i+2j−k
=i−3j+5k...(ii)
Work done =→F.→d
=(2i+4j−k).(i−3j+5k)
=2−12−5
=−17+2
=−15 joules.
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