Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
Particles $A$ and $B$ have masses $0.35\,\text{kg}$ and $0.45\,\text{kg}$ respectively. They are joined by the ends of a light inextensible string that passes over a small fixed smooth pulley, which is $1\,\text{m}$ above the horizontal ground. Initially, particle $A$ is resting on the ground directly beneath the pulley, with the string taut. Particle $B$ hangs vertically below the pulley, at a height of $0.64\,\text{m}$ above the ground. Particle $A$ is released.
(i)[5]
Find the speed of $A$ at the moment $B$ reaches the ground.
(ii)[2]
Assuming that $B$ does not bounce after it reaches the ground, find the total distance travelled by $A$ from the instant that $B$ reaches the ground until the string becomes taut again.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Uses Newton’s second law to set up equations, e.g. $T - 0.35g = 0.35a$” …