Mathematics 9709 · AS & A Level · Newton's laws of motion

Newton's laws of motion — practice question

A block $A$ with mass $2\text{ kg}$ and a particle $B$ with mass $0.5\text{ kg}$ are joined by a light inextensible string that is tilted at $15^\circ$ to the horizontal. They are dragged over a horizontal surface with acceleration $1.2\text{ m s}^{-2}$ by a force of magnitude $6\text{ N}$ applied to $A$, which acts at $20^\circ$ above the horizontal, as illustrated in the diagram. The string and the force on $A$ lie in the same vertical plane. The contact between $B$ and the surface is smooth, whereas the contact between $A$ and the surface is rough.
(a)[2]

Find the magnitude of the tension in the string.

(b)[6]

Find the coefficient of friction for the contact between A and the surface.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: $T\cos15=0.5\times1.2$

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