A particle of mass m m\,m kg is in equilibrium. A force (−7i+73j)(-7\mathbf{i}+7\sqrt3\mathbf{j})(−7i+73j) N acts on it, together with a horizontal force FiF\mathbf{i}Fi N and its weight. The unit vector j\mathbf{j}j is vertically upwards. Use g=9.8 m s−2g=9.8\text{ m s}^{-2}g=9.8 m s−2.
Find FFF.
Find mmm.
State the resultant force acting on the particle.
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.