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Show that the magnitude of the acceleration of $A$ is $6\,\text{m s}^{-2}$ and find the tension in the string.
Mathematics 9709 · AS & A Level · Newton's laws of motion
Newton's laws of motion — practice question
Particles $A$ and $B$, with masses $0.8\,\text{kg}$ and $0.2\,\text{kg}$ respectively, are linked by a light inextensible string which runs over a fixed smooth pulley. The particles are suspended vertically. The system is released from rest.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply Newton’s second law to either particle, or use an equation for the system, for example $T - 2 = 0.2a$, $8 - T = 0.8a$, or $8 - 0.2g = (0.2 + 0.8)a$ and $T = (0.2)(0.8)g/(0.8 + 0.2)$.” …
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