DP Physics Questionbank

• Syllabus

Topic 2: Mechanics

Sub sections and their related questions

2.1 – Motion

• 15M.1.HL.TZ1.2: A tennis ball is dropped from the top of a tall building. Air resistance is not negligible. Which...
• 15M.1.HL.TZ1.24: A ball is thrown from point X and follows path XYZ. Air resistance is negligible. Which...
• 15M.1.HL.TZ1.25: Two isolated spherical planets have the same gravitational potential at their surfaces. Which...
• 15M.1.SL.TZ1.3: A tennis ball is released from rest and falls vertically through a small distance in air. What is...
• 15M.1.SL.TZ1.4: The graph below shows the variation with time t of the velocity v of a car travelling in a...
• 15M.1.SL.TZ2.3: A body moves in a straight line. In order for the equations for uniformly accelerated motion to...
• 15M.1.SL.TZ2.4: The graph shows the variation with time of the velocity of a truck of fixed mass. What can be...
• 15M.1.HL.TZ2.23: The horizontal component vh and the vertical component vv of velocity of an object are shown on...
• 15M.2.SL.TZ1.6b: Use the graph to (i) estimate the velocity of the ball at t \( = \) 0.80 s. (ii) calculate a...
• 15M.2.SL.TZ1.6c: The following data are available. Mass of the ball = 0.20 kg Mean radius of the Moon =...
• 15M.2.SL.TZ1.6d: Calculate the speed of an identical ball when it falls 3.0 m from rest close to the surface of...
• 15M.2.SL.TZ1.6e: Sketch, on the graph, the variation with time t of the displacement s from the point of release...
• 14M.1.SL.TZ1.3: A body moves on a straight line. The graphs show the variation of displacement with time. Which...
• 14M.1.HL.TZ1.7: A ball of mass m is projected horizontally with speed v from a height h above the floor. Air...
• 14M.1.SL.TZ2.2: Each side of a metal cube is measured to be 2.0 cm ± 0.20 cm. What is the absolute uncertainty in...
• 14M.1.SL.TZ2.3: A particle accelerates from rest. The graph shows how the acceleration a of the particle varies...
• 14M.1.HL.TZ2.6: A projectile is fired from level ground with speed v at an angle θ to the ground. Ignoring air...
• 14M.2.SL.TZ1.6a: Determine the magnitude of the velocity of Aibhe relative to (i) Euan. (ii) the centre of the...
• 14M.2.SL.TZ1.6b: (i) Outline why Aibhe is accelerating even though she is moving at constant speed. (ii) Draw an...
• 14M.2.SL.TZ1.6d: Aibhe moves so that she is sitting at a distance of 0.75 m from the centre of the merry-go-round,...
• 15N.1.HL.TZ0.2: An object is dropped from rest. Air resistance is not negligible. What is the acceleration of the...
• 15N.1.HL.TZ0.6: A student throws a stone with velocity \(v\) at an angle \(\theta \) to the vertical from the...
• 15N.1.SL.TZ0.3: An object is at rest at time \(t = 0\). The variation with \(t\) of the acceleration \(a\) of the...
• 15N.2.SL.TZ0.6a.i: Show that the time taken for B to pass I is approximately 28 s.
• 15N.2.SL.TZ0.6a.ii: Calculate the distance travelled by B in this time.
• 14N.1.SL.TZ0.3: An object is dropped from rest above the Earth’s surface. Air resistance acts on the object. What...
• 14N.1.HL.TZ0.4: The resultant force acting on an object of mass 5.0kg varies with time as shown. The object is...
• 14N.1.HL.TZ0.24: The diagram shows the trajectory of an object projected in the absence of air resistance. The...
• 14N.2.SL.TZ0.4d.i: Estimate the distance that the ship takes to stop. Assume that the acceleration is uniform.
• 14N.2.SL.TZ0.4d.ii: It is unlikely that the acceleration of the ship will be uniform given that the resistive force...
• 11N.1.SL.TZO.6: A stone is thrown vertically upwards from the surface of Earth. Which of the following quantities...
• 11N.1.SL.TZO.7: An ice-hockey puck is slid along ice in a straight line. The puck travels at a steady speed of 20...
• 11N.1.HL.TZ0.6: A ball is thrown horizontally from the top of a high cliff. Air resistance is negligible. Which...
• 12N.1.SL.TZ0.5: An object is thrown upwards leaving the thrower’s hand at time t=0. Which graph shows how speed v...
• 12N.1.SL.TZ0.9: A ball is released at time t=0 above a horizontal surface. The graph shows the variation of...
• 12N.1.HL.TZ0.6: Balls X and Y are at the same height. X is projected horizontally at the same time that Y is...
• 13N.1.SL.TZ0.3: A tennis ball is dropped from the top of a high building. Air resistance cannot be neglected....
• 13N.1.HL.TZ0.21: A ball is thrown from the top of a cliff. The initial magnitude of the velocity of the ball at...
• 13M.1.HL.TZ1.2: Two identical balls are dropped from a tall building, one a few seconds after the other. Air...
• 13M.1.HL.TZ1.3: Which of the following is always true for an object moving in a straight line at constant...
• 13M.1.HL.TZ1.22: A ball of mass m is thrown horizontally from a cliff with initial velocity u. Air resistance is...
• 12M.1.SL.TZ1.3: The velocity–time graph for an accelerating object that is traveling in a straight line is shown...
• 12M.1.SL.TZ2.3: The graph shows the acceleration a of an object as time t varies. What is the magnitude of the...
• 13M.2.SL.TZ1.7c: The diagram shows two isolated electrons, X and Y, initially at rest in a vacuum. The initial...
• 12M.1.HL.TZ1.20: A gun fires a bullet of mass m at a horizontal velocity of v. Air resistance on the bullet is...
• 11M.1.SL.TZ2.4:   The graph shows the variation with time t of the acceleration a of an...
• 11M.1.SL.TZ2.5: A car accelerates from rest. The acceleration increases with time....
• 13M.2.SL.TZ2.2a: Fiona drops a stone from rest vertically down a water well. She hears the splash of the stone...
• 13M.2.SL.TZ2.2b: After the stone in (a) hits the water surface it rapidly reaches a terminal speed as it falls...
• 12M.2.SL.TZ2.2a: State the difference between average speed and instantaneous speed.
• 12M.2.SL.TZ2.2b: The graph shows how the acceleration a of a particle varies with time t. At time t = 0 the...
• 13M.1.SL.TZ2.3: An object, initially at rest, travels a distance d in a time t at a constant acceleration. What...
• 13M.1.SL.TZ2.4: An object is released above the surface of Earth. Which of the following correctly describes the...
• 13M.1.SL.TZ2.5: An object of mass m is connected via a frictionless pulley to an object of mass M, where M >...
• 13M.1.SL.TZ2.6: The graph shows the variation with distance x of the magnitude of the net force F acting on a...
• 13M.1.HL.TZ2.7: An object is thrown horizontally from the edge of a high crater on the Moon. The Moon has no...
• 11M.2.SL.TZ2.2a: Calculate the maximum height reached by the stone as measured from the point...
• 11M.2.SL.TZ2.2b: Determine the time for the stone to reach the surface of the sea after...
• 12M.2.HL.TZ1.8a: (i) State the magnitude of the horizontal component of acceleration of the ball after it leaves...
• 12M.2.HL.TZ1.8b: (i) Calculate the time taken for the ball to reach the ground. (ii) Calculate the horizontal...
• 12M.2.HL.TZ1.8c: Another projectile is launched at an angle to the ground. In the absence of air resistance it...
• 11N.2.SL.TZ0.4d: The power driving the railway engine is switched off. The railway engine stops, from its speed of...
• 11N.2.SL.TZ0.9a: Whilst being raised, the load accelerates uniformly upwards. The weight of the cable is...
• 11N.2.HL.TZ0.4c: An astronaut visiting Titania throws an object away from him with an initial horizontal velocity...
• 12N.2.HL.TZ0.7a: (i) Show that the maximum height reached by the first stage of the rocket is about 170 m. (ii)...
• 12N.2.HL.TZ0.7b: A full-scale version of the rocket reaches a height of 260km when the first stage falls away....
• 13N.2.SL.TZ0.6e: The trucks X and Y come to rest after travelling a distance of 40 m along the horizontal track....
• 11M.1.SL.TZ1.4: Joseph runs along a long straight track. The variation of his speed v with time t is shown...
• 11M.1.SL.TZ1.5: A car of mass 1000 kg accelerates on a straight, flat, horizontal road with an acceleration a =...
• 11M.1.HL.TZ1.23: A stone is thrown from a cliff and it lands in the sea as shown below. Air resistance is...
• 11M.2.SL.TZ1.6a: State, without any calculations, how the graph could be used to determine the distance fallen.  
• 11M.2.SL.TZ1.6b: (i) In the space below, draw and label arrows to represent the forces on the ball at 2.0...
• 11M.2.HL.TZ1.2a: State why the work done by the gravitational force during one full revolution of the probe is...
• 11M.2.HL.TZ1.13a: The electron’s path while in the region of magnetic field is a quarter circle. Show that...
• 09M.1.HL.TZ1.6: An object moves in the \(x{\text{-}}y\) plane. The graphs below show how the component of its...
• 09M.1.SL.TZ1.3: A skydiver jumped out of an airplane. On reaching a terminal speed of...
• 09M.1.SL.TZ1.4: The graph is a speed versus time graph for an object that is moving in a straight line. The...
• 10M.1.HL.TZ1.3: Which of the following quantities can be determined from a speed-time graph of a particle...
• 10M.1.SL.TZ1.3: The time taken for a stone dropped from rest to fall vertically through 16 m is 2.0 s. Based on...
• 09N.1.HL.TZ0.3: Two cars, X and Y, are travelling towards a junction. The velocity of car X is VX and car Y is...
• 09N.1.HL.TZ0.8: A football is kicked with an initial velocity \(u\) at an angle \(\theta \) to the horizontal and...
• 09N.1.SL.TZ0.3: Two balls of different mass are dropped from the top of a tall building one after the other. The...
• 09N.1.SL.TZ0.4: The graph shows how the velocity of a particle varies with time. Which of the following graphs...
• 10N.1.HL.TZ0.4: A car moves from X to Y along a semicircular path. The radius of the path is 250 m and the time...
• 10N.1.HL.TZ0.23: The diagram shows the path of a projectile that is launched with velocity \(v\). Air resistance...
• 10N.1.SL.TZ0.3: A raindrop falling from rest at time \(t = 0\) reaches terminal velocity. Which graph best...
• 10N.1.SL.TZ0.4: The graph shows how the displacement \(d\) of an object varies with time \(t\). The tangent to...
• 10N.2.HL.TZ0.B4Part1.c: (i)     Ignoring air resistance, calculate the horizontal distance travelled by the clay block...
• 10N.2.SL.TZ0.A2a: average acceleration of the car in stage 1.
• 10N.2.SL.TZ0.A2b: average net force required to accelerate the car in stage 2.
• 10N.2.SL.TZ0.A2c: total distance travelled by the car in 12 s.
• 10N.2.SL.TZ0.B3Part2.b: (i)     Show that the initial speed of the clay block after the air-rifle pellet strikes it is...
• 10N.2.SL.TZ0.B3Part2.d: The clay block is dropped from rest from the edge of the table and falls vertically to the...
• 16M.1.SL.TZ0.3: An aircraft is moving horizontally.  A parachutist leaves the aircraft and a few seconds later...
• 16M.2.SL.TZ0.1c: On the axes, sketch a graph to show how the displacement of the block varies with time from A to...
• 16N.1.SL.TZ0.4: An object of weight W is falling vertically at a constant speed in a fluid. What is the magnitude...
• 16N.1.HL.TZ0.4: A mass is suspended from the ceiling of a train carriage by a string. The string makes an angle...
• 16N.1.HL.TZ0.3: A student draws a graph to show the variation with time t of the acceleration a of an...
• 17M.1.SL.TZ1.3: An object is released from rest in the gravitational field of the Earth. Air resistance is...
• 17M.1.SL.TZ1.4: The graph shows the variation of speed v of an object with time t. Which graph shows how the...
• 17M.1.SL.TZ1.15: Two pulses are travelling towards each other. What is a possible pulse shape when the pulses...
• 17M.1.HL.TZ1.3: The graph shows the variation of the acceleration a of an object with time t. What is the...
• 17M.1.SL.TZ2.3: A ball is tossed vertically upwards with a speed of 5.0 m s–1. After how many seconds will the...
• 17M.1.SL.TZ2.4: A projectile is fired horizontally from the top of a cliff. The projectile hits the ground 4 s...
• 17M.1.SL.TZ2.5: A tennis ball is released from rest at a height h above the ground. At each bounce 50 % of its...
• 17M.2.SL.TZ2.1a: The glider reaches its launch speed of 27.0 m s–1 after accelerating for 11.0 s. Assume that the...
• 17M.2.SL.TZ2.3b.ii: Estimate the speed of the train.
• 17N.1.SL.TZ0.3: The variation of the displacement of an object with time is shown on a graph. What does the area...
• 17N.1.SL.TZ0.4: An object is thrown upwards. The graph shows the variation with time t of the velocity v of the...
• 17N.1.SL.TZ0.5: An object is released from a stationary hot air balloon at height h above the ground. An...
• 17N.2.SL.TZ0.1e.i: Show that the acceleration of the sledge is about –2 m s–2.
• 17N.2.SL.TZ0.1e.ii: Calculate the distance along the slope at which the sledge stops moving. Assume that the...
• 18M.1.SL.TZ1.3: An object is projected vertically upwards at time t = 0. Air resistance is negligible. The object...
• 18M.1.SL.TZ1.8: The distances between successive positions of a moving car, measured at equal time intervals, are...
• 18M.2.SL.TZ1.1a: At position B the rope starts to extend. Calculate the speed of the block at position B.
• 18M.1.SL.TZ2.7: A boy runs along a straight horizontal track. The graph shows how his speed v varies with time...
• 18M.1.SL.TZ2.9: Two balls X and Y with the same diameter are fired horizontally with the same initial...
• 18M.1.HL.TZ1.6: A parachutist of total mass 70 kg is falling vertically through the air at a constant speed of 8...
• 18M.1.HL.TZ2.6: A ball starts from rest and moves horizontally. Six positions of the ball are shown at time...

2.2 – Forces

• 15M.1.HL.TZ1.3: Which statement applies to an object in translational equilibrium? A. The object must be...
• 15M.1.SL.TZ1.5: Which statement applies to an object in translational equilibrium? A. The object must be...
• 15M.1.SL.TZ1.6: A constant horizontal force F is applied to a block Y. Block Y is in contact with a separate...
• 15M.1.SL.TZ2.5: A student of mass m is in an elevator which is accelerating downwards at an acceleration...
• 15M.2.SL.TZ2.2a: Calculate the (i) component of the weight of the cyclist and bicycle parallel to the...
• 15M.2.SL.TZ2.2b: At the bottom of the slope the cyclist has a speed of 5.5ms–1. The cyclist stops pedalling and...
• 14M.1.SL.TZ1.4: The graph shows how the net force F that acts on a body varies with the distance x that the body...
• 14M.1.SL.TZ1.6: A constant force of 12 N is applied for 3.0 s to a body initially at rest. The final velocity of...
• 14M.1.SL.TZ1.7: A cart of mass 4.0 kg is being pulled with a force of 24 N. The cart accelerates at 3.0m s–2....
• 14M.1.SL.TZ2.4: A block slides down an inclined plane at constant speed. Which diagram represents the...
• 15N.1.SL.TZ0.4: Which of the following is proportional to the net external force acting on a body? A.   ...
• 15N.1.SL.TZ0.5: A small positively charged sphere is suspended from a thread and placed close to a negatively...
• 15N.2.SL.TZ0.6b: B slows down while I remains at a constant speed. The driver in each car wears a seat belt. Using...
• 14N.1.SL.TZ0.4: Which of the following is a condition for an object to be in translational equilibrium? A. The...
• 14N.1.SL.TZ0.5: An object rotates in a horizontal circle when acted on by a centripetal force F. What is the...
• 14N.1.HL.TZ0.3: Which of the following is a condition for an object to be in translational equilibrium? A. The...
• 14N.1.HL.TZ0.4: The resultant force acting on an object of mass 5.0kg varies with time as shown. The object is...
• 14N.2.HL.TZ0.4c: In practice, the total energy of the shuttle decreases as it collides with air molecules in the...
• 14M.2.HL.TZ2.9g: (i)     Calculate the total resistive force acting on the car when it is travelling at a constant...
• 14M.2.SL.TZ2.6b: A car is travelling along a straight horizontal road at its maximum speed of...
• 11N.1.SL.TZO.5: The graph shows how an external force applied to an object of mass 2.0 kg varies with time. The...
• 11N.1.SL.TZO.8: A block of weight W slides down an inclined plane at a constant speed. The normal reaction...
• 12N.1.SL.TZ0.7: A block rests on a plane inclined at an angle θ to the horizontal. Which of the following gives...
• 12N.1.SL.TZ0.8: Three coplanar forces of 5 N, 6 N and 7 N act on an object. Which force could not be the...
• 12N.1.HL.TZ0.7: A speed boat tows a water skier so that the skier accelerates. The magnitude of the force...
• 13N.1.SL.TZ0.4: A model plane flies with constant velocity at constant height. Which diagram represents the...
• 13N.1.SL.TZ0.7: A force which increases uniformly from 0 to a maximum value of F is applied to an object. The...
• 13M.1.HL.TZ1.3: Which of the following is always true for an object moving in a straight line at constant...
• 12M.1.SL.TZ1.4: An object falls vertically from rest. Air resistance acts on the object and it reaches a terminal...
• 12M.1.SL.TZ2.4: A force F acts on a block at an angle θ with respect to a horizontal surface. The block is...
• 13M.2.SL.TZ1.4c: In a different experimental arrangement, the club head is in contact with the ball for a time of...
• 13M.2.SL.TZ1.4b: The diagram shows the deformation of a golf ball and club head as they collide during a...
• 11M.1.SL.TZ2.6: Which of the following is the condition for a body to be in...
• 13M.2.SL.TZ2.2c: Draw and label a free-body diagram representing the forces acting on the stone as it...
• 11M.1.HL.TZ2.4: A body is moving in a straight line. A force F acts on...
• 13M.1.SL.TZ2.5: An object of mass m is connected via a frictionless pulley to an object of mass M, where M >...
• 13M.1.SL.TZ2.6: The graph shows the variation with distance x of the magnitude of the net force F acting on a...
• 13M.1.HL.TZ2.2: Which of the following is necessary for an object to be in translational equilibrium? A. The...
• 12M.2.SL.TZ2.6d: A railway truck on a level, straight track is initially at rest. The truck is given a...
• 11M.2.SL.TZ2.8a: (i) The bus...
• 11M.2.SL.TZ2.8d: ...
• 11M.2.SL.TZ2.8e: ...
• 11N.2.SL.TZ0.4a: On the diagram above, draw labelled arrows to represent the vertical forces that act on the...
• 11N.2.SL.TZ0.4b: Explain, with reference to Newton’s laws of motion, why the velocity of the railway engine is...
• 11N.2.SL.TZ0.4c: The constant horizontal velocity of the railway engine is 16 ms–1. A total horizontal resistive...
• 11N.2.SL.TZ0.4d: The power driving the railway engine is switched off. The railway engine stops, from its speed of...
• 11N.2.SL.TZ0.4e: Another hypothesis is that the horizontal force in (c) consists of two components. One component...
• 11N.2.SL.TZ0.9a: Whilst being raised, the load accelerates uniformly upwards. The weight of the cable is...
• 13N.2.SL.TZ0.2a: On the diagram draw and label arrows that represent the forces acting on the block.
• 13N.2.SL.TZ0.2b: Calculate the magnitude of the friction force acting on the block.
• 13N.2.SL.TZ0.6b: A person standing on a frozen pond throws a ball. Air resistance and friction can be considered...
• 13N.2.SL.TZ0.6c: The maximum useful power output of a locomotive engine is 0.75 M W. The maximum speed of the...
• 13N.2.SL.TZ0.6e: The trucks X and Y come to rest after travelling a distance of 40 m along the horizontal track....
• 11M.1.SL.TZ1.3: A skydiver of mass 80 kg falls vertically with a constant speed of 50 m s−1. The upward force...
• 11M.1.SL.TZ1.5: A car of mass 1000 kg accelerates on a straight, flat, horizontal road with an acceleration a =...
• 11M.2.SL.TZ1.3a: (i) On the diagram above, draw and label arrows to represent the forces on the ball in the...
• 11M.2.SL.TZ1.6b: (i) In the space below, draw and label arrows to represent the forces on the ball at 2.0...
• 09M.1.HL.TZ1.5: A student is sitting on a chair. One force that is acting on the student is the pull of gravity....
• 09M.1.SL.TZ1.5: The diagram shows a girl attempting (but failing) to lift a heavy suitcase of weight \(W\). The...
• 09M.1.SL.TZ1.6: Objects \(A\) and \(B\) collide together. They end up joined together and stationary. During the...
• 10M.1.SL.TZ1.4: A wooden block is sliding down an inclined plane at constant speed. The magnitude of the...
• 10M.1.SL.TZ1.5: Which of the following is a correct statement of Newton’s second law of motion? A.     A force...
• 09N.1.HL.TZ0.5: If a moving object is subject to a constant force, which of the following can be correctly...
• 10N.1.HL.TZ0.3: A net force of magnitude 4.0 N acts on a body of mass 3.0 kg for 6.0 s. The body is initially at...
• 10N.1.HL.TZ0.7: Two steel balls, of mass \(M\) and \(2M\), fall at constant speeds in a tube filled with...
• 10N.2.HL.TZ0.B4Part1.c: (i)     Ignoring air resistance, calculate the horizontal distance travelled by the clay block...
• 10N.2.SL.TZ0.A2a: average acceleration of the car in stage 1.
• 10N.2.SL.TZ0.A2b: average net force required to accelerate the car in stage 2.
• 10N.2.SL.TZ0.A2c: total distance travelled by the car in 12 s.
• 10N.2.SL.TZ0.B3Part2.b: (i)     Show that the initial speed of the clay block after the air-rifle pellet strikes it is...
• 10N.2.SL.TZ0.B3Part2.d: The clay block is dropped from rest from the edge of the table and falls vertically to the...
• 16M.1.SL.TZ0.4: An object of mass m rests on a horizontal plane. The angle θ that the plane makes with the...
• 16M.2.SL.TZ0.1b: Describe the motion of the block (i) from A to B with reference to Newton's first law. (ii)...
• 16M.2.HL.TZ0.1f: On a particular day, the ice blocks experience a frictional force because the section of the ramp...
• 16N.1.SL.TZ0.6: Two stationary objects of mass 1kg and 2kg are connected by a thread and suspended from a...
• 16N.2.HL.TZ0.2c: The diagram shows the stone during its motion after release. Label the diagram to show the...
• 16N.2.HL.TZ0.2b: Determine the coefficient of dynamic friction between the stone and the ice during the last 14.0...
• 17M.1.SL.TZ1.5: Two boxes in contact are pushed along a floor with a force F. The boxes move at a constant speed....
• 17M.1.SL.TZ1.6: An elevator (lift) and its load have a total mass of 750 kg and accelerate vertically...
• 17M.1.SL.TZ1.15: Two pulses are travelling towards each other. What is a possible pulse shape when the pulses...
• 17M.2.SL.TZ1.1b.i: The dot on the following diagram represents the skier as she passes point B.Draw and label the...
• 17M.2.SL.TZ1.1c: The skier reaches point C with a speed of 8.2 m s–1. She stops after a distance of 24 m at point...
• 17M.1.HL.TZ2.3: A block of weight W is suspended by two strings of equal length. The strings are almost...
• 17M.1.HL.TZ2.4: A block of mass 1.0 kg rests on a trolley of mass 4.0 kg. The coefficient of dynamic...
• 17M.2.SL.TZ2.1b: The glider and pilot have a total mass of 492 kg. During the acceleration the glider is subject...
• 17M.2.SL.TZ2.1e: After takeoff the cable is released and the unpowered glider moves horizontally at constant...
• 17M.2.SL.TZ2.1f: Explain, using appropriate laws of motion, how the forces acting on the glider maintain it in...
• 17N.1.SL.TZ0.6: The diagram shows the forces acting on a block resting on an inclined plane. The angle θ...
• 17N.1.HL.TZ0.5: A sunbather is supported in water by a floating sun bed. Which diagram represents the magnitudes...
• 17N.2.SL.TZ0.1a: Draw the free-body diagram for the sledge at the position shown on the snow slope.
• 17N.2.SL.TZ0.1b: After leaving the snow slope, the girl on the sledge moves over a horizontal region of snow....
• 17N.2.SL.TZ0.1f: The coefficient of static friction between the sledge and the snow is 0.14. Outline, with a...
• 17N.2.HL.TZ0.8c: The electron is replaced by a proton which is also released from rest at X. Compare, without...
• 18M.1.SL.TZ1.4: A uniform ladder resting in equilibrium on rough ground leans against a smooth wall. Which...
• 18M.2.SL.TZ1.1b.ii: Sketch on the diagram the average resultant force acting on the block between B and C. The arrow...
• 18M.2.SL.TZ1.1b.iii: Calculate the magnitude of the average force exerted by the rope on the block between B and C.
• 18M.1.SL.TZ2.4: A box is accelerated to the right across rough ground by a horizontal force Fa. The force...
• 18M.1.SL.TZ2.8: A weight W is tied to a trolley of mass M by a light string passing over a frictionless...
• 18M.2.SL.TZ2.1a.iii: Show that the magnitude of the net force F on the ball is given by the following equation.      ...
• 18M.2.SL.TZ2.1b: The radius of the bowl is 8.0 m and θ = 22°. Determine the speed of the ball.
• 18M.2.SL.TZ2.1c: Outline whether this ball can move on a horizontal circular path of radius equal to the radius of...
• 18M.3.SL.TZ2.6b.i: Describe the effect of F on the linear speed of the wheel.
• 18M.1.HL.TZ1.6: A parachutist of total mass 70 kg is falling vertically through the air at a constant speed of 8...

2.3 – Work, energy, and power

• 15M.1.HL.TZ2.4: A girl is standing on a moving skateboard. She pushes backwards on the ground at intervals as...
• 14M.1.HL.TZ2.5: A truck is pulled up an inclined plane at constant speed by an electric motor. The gain in...
• 14M.2.SL.TZ1.6c: Euan is rotating on a merry-go-round and drags his foot along the ground to act as a brake. The...
• 15N.1.SL.TZ0.7: A heat engine does 300 J of work during one cycle. In this cycle 900 J of energy is wasted. What...
• 15N.1.SL.TZ0.6: An object of mass \(m\) is initially at rest. When an impulse \(I\) acts on the object its final...
• 14N.1.SL.TZ0.7: An object of mass m1 has a kinetic energy E1. Another object has a mass m2 and kinetic energy E2....
• 14N.1.SL.TZ0.8: A metal sphere is at rest on a bench. According to Newton’s third law of motion, what is a...
• 14N.2.SL.TZ0.4a: Outline the meaning of work.
• 14N.2.SL.TZ0.4b.i: Calculate the work done on the ship by the kite when the ship travels a distance of 1.0 km.
• 14N.2.SL.TZ0.4b.ii: Show that, when the ship is travelling at a speed of \({\text{8.5 m}}\,{{\text{s}}^{ - 1}}\), the...
• 14N.2.SL.TZ0.4c: The kite is taken down and no longer produces a force on the ship. The resistive force \(F\) that...
• 14M.2.HL.TZ2.9e: (i)     Calculate the volume of fuel injected into one cylinder during one cycle. (ii)     Each...
• 14M.2.HL.TZ2.9f: A car accelerates uniformly along a straight horizontal road from an initial speed of...
• 14M.2.SL.TZ2.6a: A car accelerates uniformly along a straight horizontal road from an initial speed of...
• 12N.1.SL.TZ0.10: A driving force F acts on a car which moves with constant velocity v. The quantity Fv is...
• 13N.1.SL.TZ0.6: In an inelastic collision A. momentum and kinetic energy are both conserved.B. momentum is...
• 13M.1.HL.TZ1.3: Which of the following is always true for an object moving in a straight line at constant...
• 12M.1.SL.TZ1.6: A block of mass m is moving at constant velocity v along a frictionless surface that is height h...
• 12M.1.SL.TZ2.6: A student makes three statements about situations in which no work is done on an object. I. The...
• 12M.1.SL.TZ2.7: A block is attached to a stretched spring and then released. It moves from X to Y along...
• 13M.2.SL.TZ1.4a: (i) Describe the energy changes that take place in the club head from the instant the club is...
• 13M.2.SL.TZ1.4b: The diagram shows the deformation of a golf ball and club head as they collide during a...
• 11M.1.SL.TZ2.8: The graph shows the variation with force F of the...
• 13M.1.SL.TZ2.6: The graph shows the variation with distance x of the magnitude of the net force F acting on a...
• 12M.2.SL.TZ2.6d: A railway truck on a level, straight track is initially at rest. The truck is given a...
• 11M.2.SL.TZ2.8c: The...
• 11N.2.SL.TZ0.4c: The constant horizontal velocity of the railway engine is 16 ms–1. A total horizontal resistive...
• 11N.2.SL.TZ0.9b: The electric motor can be adjusted such that, after an initial acceleration, the load moves at...
• 12N.2.SL.TZ0.4b: Gravel falls vertically onto a moving horizontal conveyor belt. (i) The gravel falls at a...
• 12N.2.SL.TZ0.4c: The conveyor belt moves with a constant horizontal speed of 1.5 m s–1. As the gravel lands on the...
• 13N.2.SL.TZ0.6c: The maximum useful power output of a locomotive engine is 0.75 M W. The maximum speed of the...
• 13N.2.SL.TZ0.6d: The locomotive engine in (c) gives a truck X a sharp push such that X moves along a horizontal...
• 11M.1.SL.TZ1.7: A brother and sister take the same time to run up a set of steps. The sister has a greater...
• 11M.1.SL.TZ1.8: A nuclear power station produces 10 GW of electrical power. The power generated by the...
• 11M.2.SL.TZ1.6c: After 10 s the ball has fallen 190 m. (i) Show that the sum of the potential and kinetic...
• 09M.1.SL.TZ1.7: A lift (elevator) is operated by an electric motor. It moves between the...
• 10M.1.HL.TZ1.5: Which of the following is a correct definition of work? A.     Product of force and...
• 09N.1.SL.TZ0.7: A vehicle is driven up a hill at constant speed. Which of the following best describes the energy...
• 09N.1.SL.TZ0.8: A rubber ball, travelling in a horizontal direction, strikes a vertical wall. It rebounds at...
• 10N.1.SL.TZ0.5: A ball falls vertically and bounces off the ground. Immediately before impact with the ground the...
• 10N.1.SL.TZ0.6: A railway engine of mass m moves along a horizontal track with uniform speed \(v\). The total...
• 10N.2.SL.TZ0.B3Part2.c: Discuss the energy transformations that occur in the clay block and the air-rifle pellet from the...
• 16M.1.SL.TZ0.5: A stone is falling at a constant velocity vertically down a tube filled with oil....
• 16M.1.SL.TZ0.6: A spring of negligible mass and length l0 hangs from a fixed point. When a mass m...
• 16M.1.SL.TZ0.7: A ball with mass m moves horizontally with speed u. The ball hits a...
• 16M.1.SL.TZ0.8: A train on a straight horizontal track moves from rest at constant...
• 16M.1.SL.TZ0.9: The graph shows how the acceleration a of an object varies...
• 16M.2.SL.TZ0.1a: (i) The block arrives at C with a speed of 0.90ms−1. Show that the elastic energy stored in the...
• 16N.1.SL.TZ0.5: An object, initially at rest, is accelerated by a constant force. Which graphs show the variation...
• 16N.1.SL.TZ0.7: A student of weight 600N climbs a vertical ladder 6.0m tall in a time of 8.0s. What is the power...
• 16N.1.HL.TZ0.7: An object of mass 2kg is thrown vertically downwards with an initial kinetic energy of 100J. What...
• 17M.1.SL.TZ1.7: A graph shows the variation of force acting on an object moving in a straight line with distance...
• 17M.1.SL.TZ1.8: A car travelling at a constant velocity covers a distance of 100 m in 5.0 s. The thrust of the...
• 17M.1.SL.TZ1.15: Two pulses are travelling towards each other. What is a possible pulse shape when the pulses...
• 17M.1.HL.TZ1.5: A horizontal spring of spring constant k and negligible mass is compressed through a distance y...
• 17M.2.SL.TZ1.1a.i: From A to B, 24 % of the gravitational potential energy transferred to kinetic energy. Show that...
• 17M.1.SL.TZ2.6: The initial kinetic energy of a block moving on a horizontal floor is 48 J. A constant...
• 17M.1.SL.TZ2.7: The efficiency of an electric motor is 20 %. When lifting a body 500 J of energy are wasted. What...
• 17M.2.SL.TZ2.1c: The cable is pulled by an electric motor. The motor has an overall efficiency of 23 %. Determine...
• 17N.1.SL.TZ0.7: A system that consists of a single spring stores a total elastic potential energy Ep when a...
• 18M.1.SL.TZ1.5: An object falls from rest from a height h close to the surface of the Moon. The Moon has no...
• 18M.1.SL.TZ1.7: An increasing force acts on a metal wire and the wire extends from an initial length l0 to a new...
• 18M.2.SL.TZ1.1d: The length reached by the rope at C is 77.4 m. Suggest how energy considerations could be used to...
• 18M.1.SL.TZ2.3: A motor of input power 160 W raises a mass of 8.0 kg vertically at a constant speed of 0.50 m...
• 18M.2.SL.TZ2.1d: A second identical ball is placed at the bottom of the bowl and the first ball is displaced so...
• 18M.2.HL.TZ1.8c.ii: An electron is emitted from the photoelectric surface with kinetic energy 2.1 eV. Calculate the...

2.4 – Momentum and impulse

• 15M.1.SL.TZ1.7: Two identical spheres, each of mass m and speed v, travel towards each other on a frictionless...
• 15M.2.SL.TZ2.6a: State the law of conservation of linear momentum.
• 15M.2.SL.TZ2.6c: Two identical toy cars, A and B are dropped from the same height onto a solid floor without...
• 14M.1.SL.TZ2.5: In the collision between two bodies, Newton’s third law A. only applies if momentum is conserved...
• 14M.1.SL.TZ2.6: A ball X moving horizontally collides with an identical ball Y that is at rest. X strikes Y...
• 14M.1.SL.TZ2.7: A ball is moving horizontally and strikes a vertical wall from which it rebounds horizontally....
• 14M.1.SL.TZ2.8: An insect of mass m jumps vertically from rest to a height h. The insect releases the energy...
• 15N.2.SL.TZ0.6c.i: Calculate the speed of O immediately before the collision.
• 15N.2.SL.TZ0.6c.ii: The duration of the collision is 0.45 s. Determine the average force acting on O.
• 14N.1.SL.TZ0.6: No external forces act on a given system during an inelastic collision. For this system, which is...
• 14M.2.SL.TZ2.4d: (i)     State the principle of conservation of momentum. (ii)     Show that the speed of the...
• 11N.1.SL.TZO.6: A stone is thrown vertically upwards from the surface of Earth. Which of the following quantities...
• 11N.1.SL.TZO.9: An egg dropped on the floor is likely to break. However, when it is wrapped in a cloth it is less...
• 12N.1.SL.TZ0.6: A ball of mass m travels horizontally with speed v before colliding with a vertical wall. The...
• 13N.1.SL.TZ0.5: The net force on a body is F. The impulse of F is equal to the A. change in momentum of the...
• 13N.1.SL.TZ0.6: In an inelastic collision A. momentum and kinetic energy are both conserved.B. momentum is...
• 13M.1.HL.TZ1.3: Which of the following is always true for an object moving in a straight line at constant...
• 12M.1.SL.TZ2.5: The momentum of a particle stays constant provided that A. it moves in a circle with constant...
• 13M.2.SL.TZ1.4c: In a different experimental arrangement, the club head is in contact with the ball for a time of...
• 13M.2.SL.TZ1.4b: The diagram shows the deformation of a golf ball and club head as they collide during a...
• 12M.1.SL.TZ1.7: Which of the following is an elastic collision? A. Two railway trucks collide and they link...
• 12M.1.HL.TZ1.3: The momentum of an object changes by Δp in a time Δt. What is the impulse acting on the object...
• 13M.2.SL.TZ2.7b: State the law of conservation of momentum.
• 13M.2.SL.TZ2.7c: Far from any massive object, a space rocket is moving with constant velocity. The engines of the...
• 13M.2.SL.TZ2.7d: Jane and Joe are two ice skaters initially at rest on a horizontal skating rink. They are facing...
• 13M.1.SL.TZ2.7: A ball of mass 0.40 kg travels horizontally and strikes a vertical wall with a speed of 5.0 ms–1....
• 12M.2.SL.TZ2.6b: State, in terms of momentum, Newton’s second law of motion.
• 12M.2.SL.TZ2.6c: Show, using your answer to (b), how the impulse of a force F is related to the change in momentum...
• 12M.2.SL.TZ2.6c: Show, using your answer to (b), how the impulse of a force F is related to the change in momentum...
• 11M.2.SL.TZ2.8a: (i) The bus...
• 12M.2.SL.TZ1.8a: Determine the time taken for the blocks to come into contact with each other.
• 12M.2.SL.TZ1.8b: As a result of the collision, the blocks reverse their direction of motion and travel at the same...
• 12M.2.SL.TZ1.8c: (i) State Newton’s third law of motion. (ii) During the collision of the blocks, the magnitude...
• 12N.2.SL.TZ0.4a: State the law of conservation of linear momentum.
• 12N.2.SL.TZ0.4b: Gravel falls vertically onto a moving horizontal conveyor belt. (i) The gravel falls at a...
• 12N.2.SL.TZ0.4c: The conveyor belt moves with a constant horizontal speed of 1.5 m s–1. As the gravel lands on the...
• 13N.2.SL.TZ0.6a: State the condition for the momentum of a system to be conserved.
• 13N.2.SL.TZ0.6b: A person standing on a frozen pond throws a ball. Air resistance and friction can be considered...
• 13N.2.SL.TZ0.6d: The locomotive engine in (c) gives a truck X a sharp push such that X moves along a horizontal...
• 11M.1.SL.TZ1.6: A tennis ball of mass m moving horizontally with speed u strikes a vertical tennis racket. The...
• 11M.2.SL.TZ1.2b: The diagram below shows the momentum of the electron as it enters and leaves the region of...
• 10M.1.SL.TZ1.6: A ball of weight \(W\) is travelling horizontally towards a vertical wall. It strikes the wall...
• 10M.1.SL.TZ1.7: Two objects undergo an inelastic collision. Which of the following is correct in respect of both...
• 10N.1.SL.TZ0.8: A gas atom strikes a wall with speed \(v\) at an angle \(\theta \) to the normal to the wall. The...
• 10N.2.HL.TZ0.B4Part1.c: (i)     Ignoring air resistance, calculate the horizontal distance travelled by the clay block...
• 10N.2.SL.TZ0.B3Part2.a: State the principle of conservation of momentum.
• 10N.2.SL.TZ0.B3Part2.b: (i)     Show that the initial speed of the clay block after the air-rifle pellet strikes it is...
• 10N.2.SL.TZ0.B3Part2.d: The clay block is dropped from rest from the edge of the table and falls vertically to the...
• 16M.1.SL.TZ0.7: A ball with mass m moves horizontally with speed u. The ball hits a...
• 16M.2.SL.TZ0.1d: The spring decompression takes 0.42s. Determine the average force that the spring exerts on the...
• 16N.1.SL.TZ0.5: An object, initially at rest, is accelerated by a constant force. Which graphs show the variation...
• 16N.1.SL.TZ0.8: A ball of mass m strikes a vertical wall with a speed v at an angle of θ to the wall. The ball...
• 16N.1.SL.TZ0.9: Two objects m1 and m2 approach each other along a straight line with speeds v1 and v2 as shown....
• 17M.1.SL.TZ1.9: An inelastic collision occurs between two bodies in the absence of external forces. What must be...
• 17M.1.SL.TZ1.15: Two pulses are travelling towards each other. What is a possible pulse shape when the pulses...
• 17M.1.HL.TZ1.7: A cyclist accelerates in a straight line. At one instant, when the cyclist is exerting a forward...
• 17M.2.SL.TZ1.1d.i: Calculate the impulse required from the net to stop the skier and state an appropriate unit for...
• 17M.2.SL.TZ1.1d.ii: Explain, with reference to change in momentum, why a flexible safety net is less likely to harm...
• 17M.1.SL.TZ2.8: A net force acts on a body. Which characteristic of the body will definitely change? A....
• 17M.1.SL.TZ2.9: A ball of mass 0.2 kg strikes a force sensor and sticks to it. Just before impact the ball is...
• 17M.1.HL.TZ2.7: A stationary nucleus of polonium-210 undergoes alpha decay to form lead-206. The initial speed of...
• 17N.1.SL.TZ0.8: A moving system undergoes an explosion. What is correct for the momentum of the system and the...
• 17N.1.HL.TZ0.7: A toy car of mass 0.15 kg accelerates from a speed of 10 cm s–1 to a speed of 15 cm s–1. What...
• 17N.2.SL.TZ0.1c: When the sledge is moving on the horizontal region of the snow, the girl jumps off the sledge....
• 17N.2.SL.TZ0.1d: The girl chooses to jump so that she lands on loosely-packed snow rather than frozen ice. Outline...
• 18M.1.SL.TZ1.6: Child X throws a ball to child Y. The system consists of the ball, the children and the Earth....
• 18M.1.SL.TZ1.9: An object is moving in a straight line. A force F and a resistive force f act on the object along...
• 18M.2.SL.TZ1.1b.i: Determine the magnitude of the average resultant force acting on the block between B and C.
• 18M.2.SL.TZ1.1c.i: between A and B.
• 18M.2.SL.TZ1.1c.ii: between B and C.
• 18M.1.SL.TZ2.5: The graph shows the variation with time t of the force F acting on an object of mass 15 000...
• 18M.1.SL.TZ2.6: A ball of mass m is thrown with an initial speed of u at an angle θ to the horizontal as shown. Q...
• 18M.2.SL.TZ2.1d: A second identical ball is placed at the bottom of the bowl and the first ball is displaced so...
• 18M.1.HL.TZ1.7: A stopper of mass 8 g leaves the opening of a container that contains pressurized gas.The stopper...
• 18M.1.HL.TZ2.7: A ball of mass m collides with a vertical wall with an initial horizontal speed u and rebounds...