Two forces act on a body: and

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Two forces act on a body: P=4 ı^−3 ȷ^ N\mathbf P = 4\,\hat\imath - 3\,\hat\jmath\,\text{N} and Q=−6 ı^+5 ȷ^ N\mathbf Q = -6\,\hat\imath + 5\,\hat\jmath\,\text{N}. A third force R\mathbf R keeps the body in equilibrium. If R\mathbf R makes an angle of 45∘45^{\circ} below the positive x-axis, find the magnitude of R\mathbf R. (a) 3.0 N3.0\,\text{N} (b) 22 N2\sqrt{2}\,\text{N} (c) 4.0 N4.0\,\text{N} (d) 2 N2\,\text{N}

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