The resultant of two forces F1 F_1\,F1 and F2 F_2\,F2 is parallel to i+j\mathbf{i} + \mathbf{j}i+j. Given that F1=(3i−2j)F_1 = (3\mathbf{i} - 2\mathbf{j})F1=(3i−2j) N and F2=(pi+2pj)F_2 = (p\mathbf{i} + 2p\mathbf{j})F2=(pi+2pj) N, where p p\,p is a positive constant.
Find the value of ppp.
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.