COMEDK · Physics · 1. Mathematics in Physics
Forces A and B act at a point. The sum of their magnitudes is 50 N and the magnitude of their resultant is 20 N. If the resultant is at \(90^\circ\) with the smaller force, the magnitudes of A and B, in N are
- A \(40\ \text{N},\ 8\text{N}\)
- B \(29\text{N},\ 21\text{N}\)
- C \(35\text{N},\ 13\text{N}\)
- D \(28\text{N},\ 20\text{N}\)
Answer & Solution
Correct Answer
(B) \(29\text{N},\ 21\text{N}\)
Step-by-step Solution
Detailed explanation
Let the magnitudes of the two forces be \(F_1\) and \(F_2\) with \(F_1 < F_2\). Given that the sum of their magnitudes is \(50\ \text{N}\): \(F_1 + F_2 = 50\) The resultant \(R\) is perpendicular to the smaller force \(F_1\). The angle \(\alpha\) made by the resultant with…
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