A body is moving on a frictionless horizontal surface under the influence of a constant force F→=3i^+4j^ m/sec2. When the velocity of the body is 2i^−3j^ m its kinetic energy.
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a
is increasing at a rate of 4 Joule / sec.
b
increasing at a rate of 5 Joule/sec.
c
decreasing at a rate of 6 Joule / sec.
d
decreasing at a rate of 4 Joule / sec.
answer is C.
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Detailed Solution
(3)when v→=2i^−3j^ m/s, rate of work done on the body F→.v→=3i^+4j^. 2i^−3j^J/s=6−12 J/S=−6J/S.So by work - energy Theorem, kinetic energy is decreasing at a rate of 6 Joule / sec.