A spring in an exercise machine remains in its linear elastic region. When the spring is extended by 40 mm, it stores 0.16 J of elastic potential energy. The spring is then extended to 70 mm. Use F=kxF=kxF=kx and E=12kx2\displaystyle E=\frac{1}{2}kx^2E=21kx2. What is the force exerted on the spring at this extension?
8.0 N8.0\ \mathrm{N}8.0 N
14 N14\ \mathrm{N}14 N
6.0 N6.0\ \mathrm{N}6.0 N
7.0 N7.0\ \mathrm{N}7.0 N
102 exam-style questions on Edexcel GCSE Physics 15.1 Forces and springs, covering 15.1.1 Elastic and inelastic distortion, 15.1.2 The spring constant, 15.1.3 Work done in stretching a spring, and 15.1.4 Linear and non-linear force–extension. Each one has a worked solution and a mark scheme showing where the marks go.