A particle moves in a straight line with constant velocity. Which statement must be true?
From Paper 2: Pure and Mechanics
136 marks
Particle A, of mass 3 kg, lies on a smooth horizontal table. It is connected by a light inextensible string passing over a smooth pulley at the edge of the table to particle B, of mass 2 kg, which hangs freely. The system is released from rest.
(a) Find the acceleration of the particles and the tension in the string.
(b) Find the speed of B after it has fallen 0.5 m (A has not reached the pulley).
From Paper 2: Pure and Mechanics
148 marks
A block of mass 5 kg is released from rest on a rough plane inclined at 30° to the horizontal. The coefficient of friction is 0.2.
(a) Find the acceleration of the block.
(b) Find the distance it slides in the first 3 seconds.
(c) Find the least value of the coefficient of friction for which the block would remain at rest.
From Paper 2: Pure and Mechanics
1712 marks
A particle P of mass 0.5 kg moves in a horizontal plane. At time t seconds its velocity is
v = (3t2 - 4) i + 2t j m s⁻¹.
When t = 0, P is at the point with position vector 2 i - j m.
(a) Find the magnitude of the acceleration of P when t = 2.
(b) Find the position vector of P when t = 2.
(c) Find the time at which P is moving parallel to j.
(d) Find the magnitude of the resultant force on P when t = 1.
Score 0 / 27 · 0 of 4 marked
This paper is written by Plasmo in the style of the AQA A-Level Maths exam. It is not a past paper and is not produced or endorsed by the exam board.