(i)[2]
Calculate the mass of $P$.
(ii)[4]
Show that the initial kinetic energy of the combined particle is $1\,\text{J}$.
(iii)[5]
Calculate the greatest speed of the combined particle in the subsequent motion.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A particle $P$ is connected 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 opposite end of the string is fixed at point $O$ on a smooth plane that is inclined at $30^\circ$ to the horizontal. In equilibrium, $P$ lies on the plane $1.6\,\text{m}$ from $O$.