A locomotive of mass 24 000 24\,000\,24000 kg is coupled to a passenger coach of mass 16 000 16\,000\,16000 kg. The train accelerates at 0.50 m s-2 along a level straight track. Resistive forces of 1800 N and 1200 N act on the locomotive and coach respectively. The coupling is light and horizontal.
Find the tension in the coupling.
Find the driving force produced by the locomotive.
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.