Salam Academy
Sign inCreate account
Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

Sign in to check answers. Your attempts build your mastery and error book.

14 questions

SA-9709-P4-NL-0054 marksL1 FoundationCalculatorConnected particles
Particles of mass 33 kg and 22 kg are connected by a light inextensible string over a smooth pulley and hang freely. Find the acceleration and the tension.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-NL3-0014 marksL1 FoundationCalculatorConnected particles
Particles of mass 55 kg and 33 kg are connected by a light inextensible string passing over a smooth pulley, and hang freely. They are released from rest. Find the acceleration and the tension.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-NL3-0024 marksL1 FoundationCalculatorConnected particles
A 66 kg block on a smooth horizontal table is connected by a light string over a smooth pulley at the edge of the table to a 22 kg particle hanging freely. Find the acceleration and the tension.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-NL3-0081 markL1 FoundationCalculatorConnected particles
In a whole-system equation for two particles joined by a string, the tension
Choose one option

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-NL-Q021 markL1 FoundationCalculatorConnected particles
For two particles joined by a light inextensible string over a smooth pulley,
Choose one option

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-NL-0064 marksL2 StandardCalculatorConnected particles
A 44 kg block on a smooth horizontal table is connected by a string over a smooth pulley at the edge to a 11 kg mass hanging freely. Find the acceleration and the tension.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-NL-0084 marksL2 StandardCalculatorTowing
A car of mass 10001000 kg tows a trailer of mass 500500 kg. The driving force is 24002400 N; resistances are 300300 N on the car and 150150 N on the trailer. Find the acceleration and the tension in the tow-bar.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-NL3-0035 marksL2 StandardCalculatorConnected particles
A 55 kg block on a rough horizontal table, with μ=0.2\mu=0.2, is connected by a light string over a smooth pulley at the edge to a 33 kg particle hanging freely. Find the acceleration and the tension.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-NL3-0044 marksL2 StandardCalculatorTowing
A car of mass 12001200 kg tows a trailer of mass 400400 kg along a straight horizontal road. The car's driving force is 20002000 N; the resistances are 200200 N on the car and 120120 N on the trailer. Find the acceleration and the tension in the tow bar.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-NL-0075 marksL3 ExamCalculatorConnected particles
As in the previous question, but the table is rough with μ=0.1\mu=0.1. Find the acceleration and the tension.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-NL3-0054 marksL3 ExamCalculatorTowing
A car of mass 10001000 kg tows a trailer of mass 600600 kg. The car brakes with a force of 32003200 N; there are no other resistances and the trailer has no brakes. Find the deceleration and the force in the tow bar.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-NL3-0063 marksL3 ExamCalculatorConnected particles
Particles of mass 44 kg and mm kg hang over a smooth pulley. When released, the 44 kg particle moves downwards with acceleration 2 m s−22\ \text{m s}^{-2}. Find mm.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-NL-0125 marksL4 ChallengingCalculatorConnected particles
A 22 kg particle on a smooth plane inclined at 30∘30^\circ is connected by a light string over a smooth pulley at the top of the plane to a 33 kg particle hanging freely. Find the acceleration and the tension.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P4-NL3-0076 marksL4 ChallengingCalculatorConnected particles
Particles AA (33 kg) and BB (22 kg) hang over a smooth pulley and are released from rest, with AA 1.51.5 m above the floor. AA hits the floor and does not rebound. Find the speed of AA when it hits the floor (3 s.f.), and the further distance BB rises before coming to rest (it does not reach the pulley).

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme