Hooke's lawEdexcel A-Level Further Maths: Mind map

Exam questions on Hooke's law

1. A particle of mass $2$ kg is attached to one end of a light elastic string of natural length $0.8$ m and modulus of elasticity $40$ N. The other end of the string is fixed to a ceiling and the particle hangs in equilibrium. Take $g=9.8$ m s$^{-2}$.
   The particle is replaced by a particle of mass $3$ kg. Find the length of the string when this particle hangs in equilibrium.2 marks
2. A light spring has natural length $0.6$ m and modulus of elasticity $30$ N. Take $g=9.8$ m s$^{-2}$.
   The spring stands vertically with one end fixed to the ground. A block of mass $1.5$ kg rests in equilibrium on its upper end. Find the length of the spring.2 marks
3. A particle $P$ of mass $0.5$ kg is attached to one end of a light elastic string of natural length $1.2$ m and modulus of elasticity $24$ N. The other end of the string is fixed to a point $O$ on a ceiling. Take $g=9.8$ m s$^{-2}$.
   The particle hangs in equilibrium. Find the extension of the string.3 marks