Newton's laws of motion — AS & A Level Mathematics (9709) questions by topic
Setting up tension and acceleration equations for connected particles on a pulley over two inclined planes, working out a bobsled's speed down a slope, and analysing a railway engine towing a coach up a slope via a rigid coupling drive the 22 Newton's laws of motion questions from 2023 to 2025, worth 4 to 13 marks.
Find, show and determine lead the command words, with draw expected for a force diagram before any equation is written. Unlike a pure-algebra question, marks here hinge on correctly resolving forces along and perpendicular to a slope before applying Newton's second law, so submit each attempt for instant marking to catch a missed resistance term or a wrongly resolved weight component as soon as it appears.
May–June 2025, Paper 41
A block of mass 12 kg is being pulled by a rope up a rough plane. The plane is inclined at an angle of 20° above the horizontal. The rope pulling the block is parallel to a line…
Answer this question and get it marked →Two particles, P and Q, of masses 0.3 kg and 0.6 kg respectively, are attached to the ends of a light inextensible string. The string passes over a smooth pulley fixed at a point…
Answer this question and get it marked →May–June 2025, Paper 42
One end of a light inextensible string is attached to a particle A of mass 3 kg. The other end of the string is attached to a particle B of mass 4 kg. Particle A is in contact…
Answer this question and get it marked →May–June 2025, Paper 43
A van of mass 4500 kg is towing a trailer of mass 350 kg along a straight horizontal road. The van and trailer are connected by a light rigid tow-bar which is parallel to the…
Answer this question and get it marked →May–June 2024, Paper 41
A straight slope of length 60 m is inclined at an angle of 12° to the horizontal. A bobsled starts at the top of the slope with a speed of 5 m s⁻¹ and slides directly down the…
Answer this question and get it marked →May–June 2024, Paper 42
A particle of mass 0.8 kg lies on a rough plane which is inclined at an angle of 28° to the horizontal. The particle is kept in equilibrium by a force of magnitude T N. This force…
Answer this question and get it marked →Two particles P and Q of masses 2.5 kg and 0.5 kg respectively are connected by a light inextensible string that passes over a small smooth pulley fixed at the top of a plane…
Answer this question and get it marked →May–June 2024, Paper 43
The van (mass 4500 kg) is towing the trailer (mass 750 kg) down a straight hill inclined at an angle of θ to the horizontal, where sin θ = 0.05. They are connected by a light…
Answer this question and get it marked →October–November 2024, Paper 41
Two particles, of masses 1.8 kg and 1.2 kg, are connected by a light inextensible string that passes over a fixed smooth pulley. The particles hang vertically. The system is…
Answer this question and get it marked →A particle of mass 1.2 kg is placed on a rough plane which is inclined at an angle θ to the horizontal, where sin θ = 7/25. The particle is kept in equilibrium by a horizontal…
Answer this question and get it marked →October–November 2024, Paper 42
Two particles, A and B, of masses 0.2 kg and 0.3 kg respectively, are attached to the ends of a light inextensible string. The string passes over a small fixed smooth pulley which…
Answer this question and get it marked →October–November 2024, Paper 43
A particle of mass 12 kg is pulled across a rough horizontal plane by a light inextensible string at 30° above the plane with tension T N. The coefficient of friction between the…
Answer this question and get it marked →Two particles A and B, of masses 3 kg and 5 kg, are connected by a light inextensible string over a fixed smooth pulley, hanging with vertical string parts. A is 1 m above a…
Answer this question and get it marked →May–June 2023, Paper 41
Two particles P and Q, of masses 0.2 kg and 0.1 kg respectively, are attached to the ends of a light inextensible string. The string passes over a fixed smooth pulley at B which…
Answer this question and get it marked →May–June 2023, Paper 42
A particle of mass 0.6 kg is placed on a rough plane which is inclined at an angle of 35° to the horizontal. The particle is kept in equilibrium by a horizontal force of magnitude…
Answer this question and get it marked →Two particles P and Q, of masses 2 kg and 0.25 kg respectively, are connected by a light inextensible string that passes over a fixed smooth pulley. Particle P is on an inclined…
Answer this question and get it marked →May–June 2023, Paper 43
A car of mass 1500 kg is towing a trailer of mass m kg along a straight horizontal road. The car and the trailer are connected by a tow-bar which is horizontal, light and rigid.…
Answer this question and get it marked →October–November 2023, Paper 41
Two particles P and Q, of masses 6 kg and 2 kg respectively, lie at rest 12.5 m apart on a rough horizontal plane. The coefficient of friction between each particle and the plane…
Answer this question and get it marked →The diagram shows a particle A, of mass 1.2 kg, which lies on a plane inclined at an angle of 40° to the horizontal and a particle B, of mass 1.6 kg, which lies on a plane…
Answer this question and get it marked →October–November 2023, Paper 42
A railway engine of mass 120000 kg is towing a coach of mass 60000 kg up a straight track inclined at an angle of α to the horizontal where sin α = 0.02. There is a light rigid…
Answer this question and get it marked →October–November 2023, Paper 43
A block of mass 8 kg slides down a rough plane inclined at 30 degrees to the horizontal, starting from rest. The coefficient of friction between the block and the plane is mu. The…
Answer this question and get it marked →Particles A and B, of masses 2.4 kg and 3.3 kg respectively, are connected by a light inextensible string that passes over a smooth pulley which is fixed to the top of a rough…
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