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Two forces `vecF_(1)=(3N)hati-(4N)hatj` and `vecF_(2)=-(1N)hati-(2N)hatj` act on a point object. In the given figure which of the six vectors represents `vecF(1)` and `vecF_(2)` and what is the magnitude of the net forces A. 4 and 8, sqrt(19)N`B. 3 and 6,5N`C. 5 and 7, `sqrt(40)N`D. 2 and 6,7 N |
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Answer» Correct Answer - C `vecF_(1)=(3N)hati-(4N)hatj` This means (3N) along +x axis and (4N) along negative side of y axis. Hence vector 5 represents it. `vecF_(2)=-(1N)hati-(2N)hatj` This means (1N) along negative x-axis. (2N) along negative y-axis. hence force `|F|^(2)=(2)^(2)+(-6)^(2)=40` `therefore |F|=sqrt(40)N` |
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