A student investigates the stretching of a spring using an experimental setup with a vertical metre rule. The measured unstretched length of the coiled part of the spring is L=50.5 mmL = 50.5\text{ mm}L=50.5 mm.
The student suspends various loads PPP from the spring and records the stretched length lll. A graph of l/mml / \text{mm}l/mm on the yyy-axis is plotted against P/NP / \text{N}P/N on the xxx-axis. The line of best fit passes through the following coordinates:
Calculate the gradient mmm of this line of best fit in mm/N\text{mm/N}mm/N.
Use your value of mmm to determine the yyy-intercept l0l_0l0 of the graph (the length when P=0P = 0P=0) in mm\text{mm}mm.
Calculate the value of L−l0L - l_0L−l0 in mm\text{mm}mm.
245 exam-style questions on CIE IGCSE Physics 1.5 Forces, covering 1.5.1a Forces, resultant force and motion, 1.5.1b Load–extension graphs and the spring constant, 1.5.1c Friction and drag, 1.5.1d Force, mass and acceleration, 1.5.1e Motion in a circular path, 1.5.2a Moment of a force, 1.5.2b Principle of moments and equilibrium, and 1.5.3 Centre of gravity and stability. Each one has a worked solution and a mark scheme showing where the marks go.