Newton’s laws

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Question 1
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A particle of mass 2 kg is acted upon by three coplanar forces, F1\mathbf{F}_1F1​, F2\mathbf{F}_2F2​, and F3\mathbf{F}_3F3​.

In which of the following scenarios does the particle accelerate at a rate of exactly 5 m s-2?

F1=(3i+4j) N,F2=(−5i+12j) N,F3=(2i−6j) N \mathbf{F}_1 = (3\mathbf{i} + 4\mathbf{j})\text{ N}, \quad \mathbf{F}_2 = (-5\mathbf{i} + 12\mathbf{j})\text{ N}, \quad \mathbf{F}_3 = (2\mathbf{i} - 6\mathbf{j})\text{ N} F1​=(3i+4j) N,F2​=(−5i+12j) N,F3​=(2i−6j) N
F1=(−i+3j) N,F2=(4i−7j) N,F3=8j N \mathbf{F}_1 = (-\mathbf{i} + 3\mathbf{j})\text{ N}, \quad \mathbf{F}_2 = (4\mathbf{i} - 7\mathbf{j})\text{ N}, \quad \mathbf{F}_3 = 8\mathbf{j}\text{ N} F1​=(−i+3j) N,F2​=(4i−7j) N,F3​=8j N
F1=(10i−5j) N,F2=(−6i+17j) N,F3=(8i+4j) N \mathbf{F}_1 = (10\mathbf{i} - 5\mathbf{j})\text{ N}, \quad \mathbf{F}_2 = (-6\mathbf{i} + 17\mathbf{j})\text{ N}, \quad \mathbf{F}_3 = (8\mathbf{i} + 4\mathbf{j})\text{ N} F1​=(10i−5j) N,F2​=(−6i+17j) N,F3​=(8i+4j) N
F1=(i+2j) N,F2=(3i−5j) N,F3=(−2i+j) N \mathbf{F}_1 = (\mathbf{i} + 2\mathbf{j})\text{ N}, \quad \mathbf{F}_2 = (3\mathbf{i} - 5\mathbf{j})\text{ N}, \quad \mathbf{F}_3 = (-2\mathbf{i} + \mathbf{j})\text{ N} F1​=(i+2j) N,F2​=(3i−5j) N,F3​=(−2i+j) N

Newton’s laws Questions

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