A rescue capsule of mass 600 kg is lifted vertically by a cable. Its upward acceleration is modelled as constant at 0.8 m s-2 while the tension is constant. Use g=9.8 m s−2g=9.8\text{ m s}^{-2}g=9.8 m s−2.
Find the tension in the cable predicted by the model.
Sensors show that the capsule's acceleration varies between 0.6 m s-2 and 1.0 m s-2. Find the corresponding range of tensions, assuming the mass is unchanged.
Give one reason for the variation in acceleration.
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.