(i)[4]
Determine the tension in the string.
(ii)[5]
At the point when both particles have speed $1.6\,\mathrm{m\,s^{-1}}$ the string breaks. Find the time taken, from the instant that the string breaks, for $A$ to reach the floor.
Mathematics 9709 · AS & A Level · Newton's laws of motion
Newton's laws of motion — practice question
Particles $A$ and $B$, with masses of $0.3\,\mathrm{kg}$ and $0.7\,\mathrm{kg}$ respectively, are fixed to the two ends of a light inextensible string. This string runs over a fixed smooth pulley. $A$ is initially held at rest and $B$ is hanging freely, while the two vertical sections of the string are straight and both particles are $0.52\,\mathrm{m}$ above the floor (see diagram). $A$ is then released, so both particles begin to move.