A particle of mass 4 kg is acted on by forces (pi+6j)(p\mathbf{i}+6\mathbf{j})(pi+6j) N, (8i−2j)(8\mathbf{i}-2\mathbf{j})(8i−2j) N and (−3i+qj)(-3\mathbf{i}+q\mathbf{j})(−3i+qj) N. The particle accelerates in the direction 2i+j2\mathbf{i}+\mathbf{j}2i+j with magnitude 35 m s−23\sqrt5\text{ m s}^{-2}35 m s−2.
Find p p\,p and qqq.
49 exam-style questions on OCR (MEI) A Level Maths 3.5 Newton's Laws of Motion, covering 3.5.1 Meaning of Newton's three laws, 3.5.2 Equation of motion, 3.5.3 Equation of motion for a particle in a straight line, 3.5.4 Model a system of connected particles, 3.5.5 Equations of motion for individual particles, 3.5.6 System with no relative motion as a single particle, and 3.5.7 Equation of motion in a straight line or plane (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.