Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A light inextensible string has one end secured at the fixed point $A$. Its other end is joined to a particle $P$ of mass $m\,\text{kg}$, and $P$ hangs vertically beneath $A$. The particle is also connected to one end of a light elastic string with natural length $0.25\,\text{m}$. The free end of this string is fixed at point $B$, which is $0.6\,\text{m}$ from $P$ and lies at the same horizontal level as $P$. A horizontal force of magnitude $7\,\text{N}$ acts on $P$ and keeps the system in equilibrium (see Fig. 1).
(i)[2]
Calculate the modulus of elasticity for the elastic string.
(ii)[4]
Find $m$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme.