A student wishes to determine the spring constant of a spring where it obeys Hooke's law. Different loads are hung from the spring and its total length is measured. When the load is 0 N, the length of the spring is 15 cm. When the load is 3.0 N, the length is 21 cm. When the load is 6.0 N, the length is 27 cm. When the load is 8.0 N, the length is 35 cm. What is the value of the spring constant of the spring in the range where it obeys Hooke's law?
0.14 N/cm0.14\text{ N/cm}0.14 N/cm
0.23 N/cm0.23\text{ N/cm}0.23 N/cm
0.40 N/cm0.40\text{ N/cm}0.40 N/cm
0.50 N/cm0.50\text{ N/cm}0.50 N/cm
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.