Three forces F₁ = 10 N, F₂ = 8 N and F₃ = 6 N act on a 5 kg particle. F₂ and F₃ are perpendicular and the particle is initially at rest under all three forces. If F₁ is removed, the acceleration is:
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Question

Three forces F₁ = 10 N, F₂ = 8 N and F₃ = 6 N act on a 5 kg particle. F₂ and F₃ are perpendicular and the particle is initially at rest under all three forces. If F₁ is removed, the acceleration is:

Options

G1 Physics · Accepted Answer

Since the particle is initially in equilibrium, the resultant of F₂ and F₃ must be equal and opposite to F₁. Because F₂ ⟂ F₃: √(8² + 6²) = 10 N After F₁ is removed, resultant force = 10 N. Therefore, a = F/m = 10/5 = 2 m s⁻² Hence option A follows.