Moderate

Two forces 3N and 4N are acting on a body, if the angle between them is 90 then magnitude of resultant force is:

Correct answer: B. 5 Newton

  • A. 2 Newton
  • B. 5 Newton
  • C. 7 Newton
  • D. 10 Newton

Explanation

If two forces of 3N and 4N are acting on a body at a right angle (90 degrees), we can find the magnitude of the resultant force using the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the two sides of the right triangle represent the magnitudes of the forces: 3N and 4N. So, we can calculate the magnitude of the resultant force using the formula: Resultant force = √(3N^2 + 4N^2) Plugging in the values, we get: Resultant force = √(9 + 16) = √25 = 5N Therefore, the magnitude of the resultant force is 5 Newtons.

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Vectors have magnitude and direction, unlike scalars, and are combined by head-to-tail or parallelogram methods. Work covers rectangular components, equilibrium when the resultant force is zero, the scalar product for work and projections, and the vector product for torque and cross-product direction using the right-hand rule.

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