Cambridge Maths Academy

Further mechanics 1 Table of contents Hooke's law Units Modulus of elasticity ($\lambda$) Examples Exercise 3A 1. Hooke's law When an elastic string or spring is stretched, the tension, $T$, produced is proportional to the extension, $x$. $$ \begin{align} T \propto x \\ \\ \Rightarrow \qquad T = kx \end{align} $$ where $k$ is a constant. The constant $k$ depends on the unstretched length of the ..

Further mechanics 1 Table of contents Principle of conservation of momentum Examples Edexcel FM1 Exercise 1B 1. Principle of conservation of momentum We can solve problems involving collisions using the principle of conservation of momentum. When two bodies collide, by Newton's 3rd law - the principle of action and reaction - each one exerts an equal and opposite force on the other. They are in ..

수학 모음 (Maths collection) 전체보기 This question comes from a test paper for A-level maths for Michaelmas Term at Eton College. Q14. At time $t$ secons after the start of an experiment, the temperature of a cooling liquid is proportional to $\textrm{e}^{-kt}$. (a) Given that the liquid's initial temperature was $80^\circ$C, find a formula for $T$ in terms of $t$ and $k$. [1 mark] (b) Given also that ..