Paper 4 (9164, Section B) · November 2009 · Friction and Inclined Planes
A block of mass 3.5 kg is released from rest at point A on a plane inclined at angle to the horizontal, where . It slides down to point B at the base of the plane. The coefficient of friction between the block and the plane is . Take ms.
Calculate the acceleration of the block down the plane, in ms.
Model answer
3.9
Also accepted: 3,9, 3.92, 3,92, 3.924, 3,924
Explanation
From the 3, 4, 5 triangle gives and .
Perpendicular to the plane the block does not move, so and the friction, which opposes the sliding and so acts up the plane, is .
Along the plane, . The mass cancels from every term:
ms,
which is 3.9 ms correct to 2 significant figures. Notice the 3.5 kg never enters the answer.
Derived from ZIMSEC Mathematics 9164/4 Paper 4, November 2009, Q14