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 ..

Further mechanics 1 Table of contents Momentum = Linear momentum Units First example Impulse The impulse-momentum principle More examples Exercise 1A 1. Momentum = Linear momentum The momentum $p$ of a body of mass $m$ which is moving with velocity $v$ is: $$ \boxed{ \begin{align} \textrm{momentum} &= \textrm{mass} \times \textrm{velocity} \\ p &= mv \end{align} } $$ Mass is a scalar and velocit..