(i)[2]
Calculate the mass of particle $P$.
(ii)[4]
Show that the initial kinetic energy of the combined particle comes to $1\text{ J}$.
(iii)[5]
Calculate the greatest speed reached by the combined particle during the later motion.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A particle $P$ is fastened to one end of a light elastic string whose natural length is $1.2\text{ m}$ and modulus of elasticity is $12\text{ N}$. The other end of the string is fixed at point $O$ on a smooth plane inclined at $30^{\circ}$ to the horizontal. $P$ is in equilibrium on the plane, $1.6\text{ m}$ from $O$.