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Sum of magnitude of two forces is 25 ~N . The resultant of these forces is normal to the smaller force and has a magnitude of 10 ~N . Then the two forces are

Options

  1. A14.5 ~N , 10.5 ~N
  2. B16 ~N , 9 ~N
  3. C13 ~N , 12 ~N
  4. D20 ~N , 5 ~N

Correct answer

A. 14.5 ~N , 10.5 ~N

Step-by-step solution

Sum of two forces F₁+F₂=25 Resultant of these forces (10)^2=F₁^2+F₂^2+2 F₁ F₂ Since, resultant is normal to the smaller force F₁+F₂ =0 From Eqs. (i), (ii) and (iii), we get gathered F₁=14.5 ~N F₂=10.5 ~N gathered

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