Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line

Kinematics of motion in a straight line — practice question

A block with mass $8\,\text{kg}$ rests on a rough plane that is tilted at $18^\circ$ to the horizontal. It is dragged up the plane by a light string, which is set at an angle of $26^\circ$ above a line of greatest slope. The string has tension $T\,\text{N}$ (see diagram). The coefficient of friction between the block and plane is $0.65$.
(a)[7]

The block accelerates at $0.2\,\text{m s}^{-2}$. Determine $T$.

(b)[2]

The block starts from rest. Work out the distance covered by the block in the fourth second of motion.

Worked solution & mark scheme

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