A high-precision surgical micro-robot of mass mmm grams is being navigated through a fluid medium under the influence of two primary forces, P\mathbf{P}P and Q\mathbf{Q}Q.
The forces are defined as follows:
P=(0.7i−3.2j) N \mathbf{P} = (0.7\mathbf{i} - 3.2\mathbf{j}) \text{ N} P=(0.7i−3.2j) N Q=(ki+0.5kj) N \mathbf{Q} = (k\mathbf{i} + 0.5k\mathbf{j}) \text{ N} Q=(ki+0.5kj) Nwhere kkk is a constant scalar.
The resulting acceleration of the micro-robot is measured to be (2.4i+0.8j) m s−2(2.4\mathbf{i} + 0.8\mathbf{j}) \text{ m s}^{-2}(2.4i+0.8j) m s−2.
Determine the value of kkk.
Practise Edexcel A Level Maths Resolving Forces with exam-style questions for A Level Maths. 12 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
