Two forces, (4i−5j)(4\mathbf{i} - 5\mathbf{j})(4i−5j) N and (pi+qj)(p\mathbf{i} + q\mathbf{j})(pi+qj) N, act on a particle P P\,P of mass m m\,m kg. The resultant of the two forces is R\mathbf{R}R. Given that R\mathbf{R}R acts in a direction which is parallel to the vector (i−2j)(\mathbf{i} - 2\mathbf{j})(i−2j).
Find the angle between R\mathbf{R}R and the vector j\mathbf{j}j.
Show that 2p+q+3=02p + q + 3 = 02p+q+3=0.
Given also that q=1q = 1q=1 and that P P\,P moves with an acceleration of magnitude 85 8\sqrt{5}\,85 m s−2^{-2}−2, find the value of mmm.
Practise Edexcel A Level Old Maths Vectors with exam-style questions for A Level Old Maths. 9 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) 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.