Newton's laws — Grade 11 Past Paper Questions

Two blocks (4 kg and 10 kg) connected by string over pulley on rough horizontal surface with kinetic friction (2 N and 3.5 N respectively). Calculate system acceleration and string tension.

A 4 kg block slides down a rough 30° incline with kinetic friction coefficient 0.2. Determine friction force, acceleration on the slope, and acceleration change when moving onto a frictionless section.

Three forces act at point O: Fa = 44 N, Fc = 31 N, and Fs unknown. Their resultant is 26.69 N at 25.82° horizontal. Calculate Fs magnitude and determine angle theta.

From velocity-time graphs, identify which graph corresponds to three rubber bands accelerating a trolley down an incline, then sketch the relationship between force applied and resulting acceleration.

Experiment to determine coefficient of static friction: place wooden block on adjustable incline, record angle at which block begins sliding, repeat runs, and calculate average coefficient from measurements.

Blocks (20 kg and 10 kg) connected by string over frictionless pulley on rough surface: define normal force, draw free-body diagrams, calculate acceleration and tension, analyze tension change when 4 kg block added on top.

A 2.5 kg object hanging from string at point P; horizontal force of 50 N applied at point Q pulls string into equilibrium. Calculate tension in the string supporting the system.

Force of 177 N controls lowering of connected blocks (10 kg horizontal, 20 kg hanging) with kinetic friction 11.5 N. Calculate block acceleration and string tension, then analyze changes when force is angled.

Friction-compensated ramp experiment: analyze ticker-tape intervals at 50 Hz frequency, calculate trolley acceleration, identify dependent and controlled variables, write investigative question about force-acceleration relationship.

Three forces (F1, F2, F3) act on object at point O producing resultant at 25° bearing. Calculate horizontal and vertical components of F1 and F2, determine F3 magnitude, then find fourth force for eastward motion.

Box lifted at constant velocity by two strings: string P at 50° angle with 200 N tension, string Q at 40° angle. Calculate tension in Q, mass of box, and draw closed vector diagram.

Satellite (1200 kg) orbits Earth at distance d from surface where Earth's radius is 20d. State universal gravitation law, calculate orbital distance and gravitational force maintaining orbit, then determine weight at Earth's surface.

Trolley on rough horizontal surface with increasing applied force: identify static friction when force is 6 N, explain dot spacing on ticker-tape, determine if ramp angle increased or decreased for equal spacing, find net force.

Blocks on 35° rough incline with 112 N force applied parallel to incline: verify acceleration of 4.87 m·s⁻², draw free-body diagram for moving block, determine unknown mass using force balance and friction data.

Small boat at point O experiences motor force of 1200 N at 40° north of east and river current of 800 N northward. Determine resultant force magnitude and direction using scale drawing method.

Trolley on rough horizontal surface with gradually increasing applied force: define static friction, identify friction when applied force is 6 N, draw free-body diagram showing only horizontal forces while trolley moves.

A ticker-tape experiment: find the time for each five-dot section, calculate the trolley's acceleration, and read the force–acceleration relationship off the results graph. The page then opens a two-block pulley question.

Multiple-choice questions covering gravitational attraction between masses at varying distances and electrostatic force relationships when separation distance changes.

Ends a rope-and-pulley question — the maximum weight two angled ropes can lift, and why widening the gap between the pulleys makes the system less effective. The next question begins: a 200 kg block held stationary by a rope at 15° to the vertical.

Define static friction, show that μs = tan θ, and complete a table of values for a block on an adjustable incline. The next question begins, on a man standing on a scale in a lift.

Multiple-choice covering force vector resultants when two forces act at varying angles, Newton's laws of motion, and identifying action-reaction force pairs.

Multiple-choice determining correct acceleration-time graph for a car brought to rest by constant net force on rough horizontal surface with rightward positive direction.

A tow truck of 2 500 kg pulls an 800 kg car up a rough incline, friction coefficient 0,25, net force on the truck 1 520 N. The page continues with a gravitational question on a spacecraft and Earth.

Jupiter has 300 times Earth's mass and 11 times its radius — state Newton's law of universal gravitation and find the weight of a 120 kg astronaut on its surface. The next question begins, on two charged spheres brought into contact.

Multiple-choice questions covering vector addition of forces at a point, Newton's first law explaining inertia in moving vehicles, and force equilibrium on rough inclined surfaces.

A 20 000 kg rocket launches vertically and loses 5 000 kg of fuel as it climbs — calculate its weight at Earth's surface and the percentage drop at altitude. The page then moves to electric fields.

Multiple-choice on gravitational acceleration on hypothetical planets with specified mass and radius ratios compared to Earth, and electric field relationship versus distance squared from charged sphere.

Multiple-choice covering vector diagram resultants, force equilibrium conditions for objects at rest and moving at constant velocity, and identifying correct resultant force combinations.

Multiple-choice on how normal force changes when angle of applied force changes, and calculating tension in systems with multiple suspended masses connected by strings.

Multiple-choice covering vector and scalar quantity definitions, and calculating resultant force magnitude and direction from four component forces acting simultaneously on a body.

Multiple-choice on how doubling net force affects acceleration of an object, and calculating normal force on masses positioned on rough inclined slopes at specified angles.

Ends a multiple-choice page with a question on the ratio and sign of two charges separated by 5d. The next question begins: a heavy object lifted by two ropes at 530 N and 1 240 N over a pair of pulleys.

Multiple-choice covering resultant force magnitude when two forces act simultaneously at a point, and scale reading changes in descending elevator with specified downward acceleration.

Multiple-choice on factors affecting gravitational force between masses at various distances and separations, and determining direction of net electric force from paired charges.

A string joining blocks A and B breaks after 0,70 m up an incline — decide whether A travels further than that, and explain. The page continues with the Moon's gravitational acceleration, given Earth's 2,34 × 10²⁰ N pull on it.