(i)[4]
Show that the particles’ acceleration is $2\,\text{m s}^{-2}$, and determine the tension in the string.
(ii)[8]
Find the total distance travelled by the $0.8\,\text{kg}$ particle in the first second after release.
Mathematics 9709 · AS & A Level · Newton's laws of motion
Newton's laws of motion — practice question
Two particles with masses $1.2\,\text{kg}$ and $0.8\,\text{kg}$ are joined by a light inextensible string that runs over a fixed smooth pulley. They hang vertically. The system starts from rest, and both particles are $0.64\,\text{m}$ above the floor (see diagram). During the motion that follows, the $0.8\,\text{kg}$ particle does not reach the pulley.