Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A particle $P$ with mass $0.35\,\text{kg}$ is fixed to the midpoint of a light elastic string whose natural length is $4\,\text{m}$. The two ends of the string are fastened to fixed points $A$ and $B$, which are $4.8\,\text{m}$ apart and at the same horizontal level. $P$ is in equilibrium at a point $0.7\,\text{m}$ vertically beneath the midpoint $M$ of $AB$ (see diagram).
(i)[4]
Calculate the tension in the string and then show that the modulus of elasticity of the string is $25\,\text{N}$.
(ii)[6]
$P$ is now supported at rest at a point $1.8\,\m$ vertically below $M$, and is then let go. Find the speed with which $P$ passes through $M$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme.