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Question

A body is moving under the action of two forces F1 = ^2i^5j; F2 = ^3i^4j. Its velocity will become uniform under a third force F3 given by

A
^5i^9j
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B
^5i^9j
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C
^5i+^9j
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D
^5i+^9j
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Solution

The correct option is D ^5i+^9j
A body is moving under the action of two forces
F1=2^i5^j and F2=3^i4^j

A third force F3 is applied on it such that it becomes uniform which no acceleration or resultant force will be zero.
F1+F2+F3=0
F3+5^i9^j=0
F3=5^i+9^j

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