Date | November 2016 | Marks available | 3 | Reference code | 16N.2.HL.TZ0.2 |
Level | Higher level | Paper | Paper 2 | Time zone | 0 - no time zone |
Command term | Label | Question number | 2 | Adapted from | N/A |
Question
Curling is a game played on a horizontal ice surface. A player pushes a large smooth stone across the ice for several seconds and then releases it. The stone moves until friction brings it to rest. The graph shows the variation of speed of the stone with time.
The total distance travelled by the stone in 17.5 s is 29.8 m.
Determine the coefficient of dynamic friction between the stone and the ice during the last 14.0 s of the stone’s motion.
The diagram shows the stone during its motion after release.
Label the diagram to show the forces acting on the stone. Your answer should include the name, the direction and point of application of each force.
Markscheme
ALTERNATIVE 1
«deceleration» «»
F = 0.243 × m
ALTERNATIVE 2
distance travelled after release = 23.85 «m»
KE lost = 5.81m «J»
Award [3] for a bald correct answer.
Ignore sign in acceleration.
Allow ECF from (a) (note that x candidate answer to (a) ).
Ignore any units in answer.
Condone omission of m in solution.
Allow g = 10 N kg–1 (gives 0.024).
normal force, upwards, ignore point of application
Force must be labeled for its mark to be awarded. Blob at poa not required.
Allow OWTTE for normal force. Allow N, R, reaction.
The vertical forces must lie within the middle third of the stone
weight/weight force/force of gravity, downwards, ignore point of application
Allow mg, W but not “gravity”.
Penalise gross deviations from vertical/horizontal once only
friction/resistive force, to left, at bottom of stone, point of application must be on the interface between ice and stone
Allow F, μR. Only allow arrows/lines that lie on the interface. Take the tail of the arrow as the definitive point of application and expect line to be drawn horizontal.
Award [2 max] if any force arrow does not touch the stone
Do not award MP3 if a “driving force” is shown acting to the right. This need not be labelled to disqualify the mark. Treat arrows labelled “air resistance” as neutral.
N.B: Diagram in MS is drawn with the vertical forces not direction of travel collinear for clarity
Examiners report
Syllabus sections
- 18M.1.SL.TZ1.4: A uniform ladder resting in equilibrium on rough ground leans against a smooth wall. Which...
-
18M.3.SL.TZ2.6b.i:
Describe the effect of F on the linear speed of the wheel.
-
18M.2.SL.TZ2.1c:
Outline whether this ball can move on a horizontal circular path of radius equal to the radius of the bowl.
- 22M.1.SL.TZ2.8: An object is pushed from rest by a constant net force of 100 N. When the object has travelled...
-
22M.1.SL.TZ2.6:
An object of mass 2.0 kg rests on a rough surface. A person pushes the object in a straight line with a force of 10 N through a distance d.
The resultant force acting on the object throughout d is 6.0 N.
What is the value of the sliding coefficient of friction between the surface and the object and what is the acceleration a of the object?
- 22M.1.SL.TZ2.7: A rocket has just been launched vertically from Earth. The image shows the free-body diagram...
- 22M.1.HL.TZ2.5: A solid metal ball is dropped from a tower. The variation with time of the velocity of the...
-
22M.1.HL.TZ2.7:
A book of mass m lies on top of a table of mass M that rolls freely along the ground. The coefficient of friction between the book and the table is . A person is pushing the rolling table.
What is the maximum acceleration of the table so that the book does not slide backwards relative to the table?
A.
B.
C.
D.
-
18M.2.SL.TZ1.1b.ii:
Sketch on the diagram the average resultant force acting on the block between B and C. The arrow on the diagram represents the weight of the block.
- 18M.1.SL.TZ2.4: A box is accelerated to the right across rough ground by a horizontal force Fa. The force...
- 17N.2.SL.TZ0.1a: Draw the free-body diagram for the sledge at the position shown on the snow slope.
- 19M.1.HL.TZ1.7: A waiter carrying a tray is accelerating to the right as shown in the image. What is the...
-
22M.2.SL.TZ1.1b:
The vertical acceleration of the load downwards is 2.4 m s−2.
Calculate the tension in the string.
-
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. Box X has a mass m and box Y has a mass 2m.
What is the resultant force acting on Y?
A. 0
B.
C. F
D. 2F -
17M.2.SL.TZ2.1e:
After takeoff the cable is released and the unpowered glider moves horizontally at constant speed. The wings of the glider provide a lift force. The diagram shows the lift force acting on the glider and the direction of motion of the glider.
Draw the forces acting on the glider to complete the free-body diagram. The dotted lines show the horizontal and vertical directions.
- 17M.2.SL.TZ2.1f: Explain, using appropriate laws of motion, how the forces acting on the glider maintain it in...
- 22M.1.HL.TZ2.21: An astronaut is orbiting Earth in a spaceship. Why does the astronaut experience...
- 16N.1.SL.TZ0.6: Two stationary objects of mass 1kg and 2kg are connected by a thread and suspended from a...
-
22M.1.SL.TZ1.7:
Two masses and are connected by a string over a frictionless pulley of negligible mass. The masses are released from rest. Air resistance is negligible.
Mass accelerates downwards at . What is ?
A.B.
C. 2
D. 3
-
22M.1.SL.TZ1.6:
Which of the formulae represents Newton’s second law?
A.
B.
C.
D.
- 22M.1.HL.TZ1.7: A book is at rest on a table. One of the forces acting on the book is its weight. What is...
-
18M.2.SL.TZ1.1b.iii:
Calculate the magnitude of the average force exerted by the rope on the block between B and C.
- 19M.1.SL.TZ2.4: Two forces of magnitude 12 N and 24 N act at the same point. Which force cannot be the...
- 21N.2.SL.TZ0.4b.ii: Describe the motion of Q after release.
- 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.1.SL.TZ1.15: Two pulses are travelling towards each other. What is a possible pulse shape when the...
- 18N.1.SL.TZ0.6: Two blocks X and Y rest on a frictionless horizontal surface as shown. A horizontal force is...
- 18N.1.HL.TZ0.7: Three forces act at a point. In which diagram is the point in equilibrium?
- 18N.2.SL.TZ0.1c.ii: Explain what effect, if any, this spreading of the ions has on the acceleration of the...
- 18N.2.HL.TZ0.1c.ii: Explain what effect, if any, this spreading of the ions has on the acceleration of the...
- 19N.1.SL.TZ0.3: Two forces act along a straight line on an object that is initially at rest. One force is...
-
19N.1.SL.TZ0.5:
A climber of mass m slides down a vertical rope with an average acceleration a. What is the average frictional force exerted by the rope on the climber?
A. mg
B. m(g + a)
C. m(g – a)
D. ma
-
19N.1.SL.TZ0.21:
An object hangs from a light string and moves in a horizontal circle of radius r.
The string makes an angle θ with the vertical. The angular speed of the object is ω. What is tan θ?
A.
B.
C.
D.
-
19M.1.SL.TZ1.9:
A block is on the surface of a horizontal rotating disk. The block is at rest relative to the disk. The disk is rotating at constant angular velocity.
What is the correct arrow to represent the direction of the frictional force acting on the block at the instant shown?
-
19M.1.SL.TZ1.7:
Two blocks of masses m and 2m are travelling directly towards each other. Both are moving at the same constant speed v. The blocks collide and stick together.
What is the total momentum of the system before and after the collision?
- 19M.1.HL.TZ2.4: A book is at rest on a table. What is a pair of action–reaction forces for this situation...
-
18M.1.SL.TZ2.8:
A weight W is tied to a trolley of mass M by a light string passing over a frictionless pulley. The trolley has an acceleration a on a frictionless table. The acceleration due to gravity is g.
What is W ?
A.
B.
C.
D.
- 17N.2.SL.TZ0.1f: The coefficient of static friction between the sledge and the snow is 0.14. Outline, with a...
-
19M.2.SL.TZ2.5b:
The speed of the proton is 2.16 × 106 m s-1 and the magnetic field strength is 0.042 T. For this proton, determine, in m, the radius of the circular path. Give your answer to an appropriate number of significant figures.
- 21N.1.SL.TZ0.6: X and Y are two objects on a frictionless table connected by a string. The mass of X is 2 kg...
-
17N.1.SL.TZ0.6:
The diagram shows the forces acting on a block resting on an inclined plane. The angle θ is adjusted until the block is just at the point of sliding. R is the normal reaction, W the weight of the block and F the maximum frictional force.
What is the maximum coefficient of static friction between the block and the plane?
A. sin θ
B. cos θ
C. tan θ
D.
- 17M.2.SL.TZ1.1b.i: The dot on the following diagram represents the skier as she passes point B.Draw and label...
-
17M.1.SL.TZ1.6:
An elevator (lift) and its load have a total mass of 750 kg and accelerate vertically downwards at 2.0 m s–2.
What is the tension in the elevator cable?
A. 1.5 kN
B. 6.0 kN
C. 7.5 kN
D. 9.0 kN -
18M.2.HL.TZ2.1b:
The radius of the bowl is 8.0 m and θ = 22°. Determine the speed of the ball.
- 19M.2.HL.TZ2.1c: A student models the bounce of the tennis ball to predict the angle θ at which the ball...
- 17N.1.HL.TZ0.5: A sunbather is supported in water by a floating sun bed. Which diagram represents...
-
18M.2.SL.TZ2.1b:
The radius of the bowl is 8.0 m and θ = 22°. Determine the speed of the ball.
- 19M.2.SL.TZ2.1c: The student models the bounce of the tennis ball to predict the angle θ at which the ball...
- 19N.1.SL.TZ0.6: A cube slides down the surface of a ramp at a constant velocity. What is the magnitude of the...
-
17N.2.SL.TZ0.1b:
After leaving the snow slope, the girl on the sledge moves over a horizontal region of snow. Explain, with reference to the physical origin of the forces, why the vertical forces on the girl must be in equilibrium as she moves over the horizontal region.
-
19N.2.SL.TZ0.5b(i):
Calculate the magnitude of the initial acceleration of the electron.
-
17N.2.HL.TZ0.8c:
The electron is replaced by a proton which is also released from rest at X. Compare, without calculation, the motion of the electron with the motion of the proton after release. You may assume that no frictional forces act on the electron or the proton.
-
18N.1.HL.TZ0.5:
A mass m attached to a string of length R moves in a vertical circle with a constant speed. The tension in the string at the top of the circle is T. What is the kinetic energy of the mass at the top of the circle?
A.
B.
C.
D.
-
17M.1.HL.TZ2.3:
A block of weight W is suspended by two strings of equal length. The strings are almost horizontal.
What is correct about the tension T in one string?
A.
B.
C.
D.
-
18M.2.HL.TZ1.1b.iii:
Calculate the magnitude of the average force exerted by the rope on the block between B and C.
-
16N.2.HL.TZ0.2b:
Determine the coefficient of dynamic friction between the stone and the ice during the last 14.0 s of the stone’s motion.
-
22M.2.SL.TZ2.1c.ii:
Deduce the mass of the airboat.
-
22M.2.HL.TZ2.1c.iii:
Deduce the mass of the airboat.
-
18M.2.HL.TZ1.1b.ii:
Sketch on the diagram the average resultant force acting on the block between B and C. The arrow on the diagram represents the weight of the block.
-
18M.2.SL.TZ2.1a.iii:
Show that the magnitude of the net force F on the ball is given by the following equation.
- 20N.2.HL.TZ0.1a(ii): Outline, by reference to Newton’s third law, how the upward lift force on the aircraft is...
-
18N.2.HL.TZ0.1b.i:
(i) Estimate the maximum speed of the spacecraft.
(ii) Outline why the answer to (i) is an estimate.
-
20N.1.SL.TZ0.5:
An object of mass is falling vertically through the air. The drag force acting on the object is . What is the best estimate of the acceleration of the object?
A. Zero
B.
C.
D.
-
20N.1.SL.TZ0.7:
Three forces act on a block which is sliding down a slope at constant speed. is the weight, is the reaction force at the surface of the block and is the friction force acting on the block.
In this situation
A. there must be an unbalanced force down the plane.
B. .
C. .
D. the resultant force on the block is zero.
-
20N.1.HL.TZ0.3:
A body is held in translational equilibrium by three coplanar forces of magnitude , and . Three statements about these forces are
I. all forces are perpendicular to each other
II. the forces cannot act in the same direction
III. the vector sum of the forces is equal to zero.Which statements are true?
A. I and II only
B. I and III only
C. II and III only
D. I, II and III
-
21M.2.SL.TZ2.3b.i:
The thread makes an angle of 30° with the vertical wall. The ball has a mass of 0.025 kg.
Determine the horizontal force that acts on the ball.
-
20N.2.SL.TZ0.2a:
Draw and label the free-body diagram for the person.
- 20N.2.SL.TZ0.1a(ii): Outline, by reference to Newton’s third law, how the upward lift force on the aircraft is...
- 20N.2.SL.TZ0.1a(i): State the value of the resultant force on the aircraft when hovering.
-
20N.2.SL.TZ0.2b:
The person must not slide down the wall. Show that the minimum angular velocity of the cylinder for this situation is
where is the coefficient of static friction between the person and the cylinder.
- 20N.2.HL.TZ0.1a(i): State the value of the resultant force on the aircraft when hovering.
-
21M.1.HL.TZ1.5:
A mass is released from the top of a smooth ramp of height . After leaving the ramp, the mass slides on a rough horizontal surface.
The mass comes to rest in a distance d. What is the coefficient of dynamic friction between the mass and the horizontal surface?
- 21M.1.SL.TZ1.8: Two identical boxes are stored in a warehouse as shown in the diagram. Two forces acting on...
- 21M.1.SL.TZ1.7: Two forces act on an object in different directions. The magnitudes of the forces are 18 N...
-
20N.2.HL.TZ0.1b:
The package and string are now released and fall to the ground. The lift force on the aircraft remains unchanged. Calculate the initial acceleration of the aircraft.
-
21M.1.SL.TZ2.5:
A person with a weight of stands on a scale in an elevator.
What is the acceleration of the elevator when the scale reads ?
A. downwards
B. downwards
C. upwards
D. upwards
- 21M.1.SL.TZ2.6: Two identical boxes containing different masses are sliding with the same initial speed on...
- 21M.1.SL.TZ2.4: A person is standing at rest on the ground and experiences a downward gravitational force W...
-
21M.1.HL.TZ2.3:
A block rests on a rough horizontal plane. A force P is applied to the block and the block moves to the right.
There is a coefficient of friction giving rise to a frictional force F between the block and the plane. The force P is doubled. Will and F be unchanged or greater?
-
20N.2.SL.TZ0.1b:
The package and string are now released and fall to the ground. The lift force on the aircraft remains unchanged. Calculate the initial acceleration of the aircraft.
-
20N.2.SL.TZ0.2c:
The coefficient of static friction between the person and the cylinder is . The radius of the cylinder is . The cylinder makes revolutions per minute. Deduce whether the person will slide down the inner surface of the cylinder.
-
20N.1.SL.TZ0.10:
A horizontal force acts on a sphere. A horizontal resistive force acts on the sphere where is the speed of the sphere and is a constant. What is the terminal velocity of the sphere?
A.
B.
C.
D.
-
18M.2.HL.TZ2.1c:
Outline whether this ball can move on a horizontal circular path of radius equal to the radius of the bowl.
- 19M.1.SL.TZ2.9: A block of weight W slides down a ramp at constant velocity. A friction force F acts between...
-
19M.1.SL.TZ1.8:
The graph shows the variation with time of the resultant net force acting on an object. The object has a mass of 1kg and is initially at rest.
What is the velocity of the object at a time of 200 ms?
A. 8 m s–1
B. 16 m s–1
C. 8 km s–1
D. 16 km s–1
-
19M.2.SL.TZ1.1b.ii:
The battery continues to give an output power of 240 W. Assume that the resistive forces are the same as in (a)(iii).
Calculate the maximum speed of the bicycle and the girl up the slope.
- 19M.2.SL.TZ1.1c: On another journey up the slope, the girl carries an additional mass. Explain whether...
- 19M.3.SL.TZ2.8c: The coefficient of friction between the ladder and the ground is 0.400. Determine whether the...
-
17M.2.SL.TZ2.1b:
The glider and pilot have a total mass of 492 kg. During the acceleration the glider is subject to an average resistive force of 160 N. Determine the average tension in the cable as the glider accelerates.
- 18M.1.HL.TZ1.6: A parachutist of total mass 70 kg is falling vertically through the air at a constant speed...
-
18M.2.HL.TZ2.1a.iii:
Show that the magnitude of the net force F on the ball is given by the following equation.
-
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 D.
Determine the coefficient of dynamic friction between the base of the skis and the snow. Assume that the frictional force is constant and that air resistance can be neglected.
-
21M.2.HL.TZ2.3b.i:
The thread makes an angle of 30° with the vertical wall. The ball has a mass of 0.025 kg.
Determine the horizontal force that acts on the ball.
-
21N.1.SL.TZ0.5:
An elevator (lift) and its load accelerate vertically upwards.
Which statement is correct in this situation?
A. The net force on the load is zero.B. The tension in the cable is equal but opposite to the combined weight of the elevator and its load.
C. The normal reaction force on the load is equal but opposite to the force on the elevator from the load.
D. The elevator and its load are in translational equilibrium.
-
22M.1.SL.TZ1.4:
A block moving with initial speed is brought to rest, after travelling a distance d, by a frictional force . A second identical block moving with initial speed u is brought to rest in the same distance d by a frictional force . What is u?
A.
B.
C.
D.
-
22M.2.SL.TZ1.1d:
After the load has hit the floor, the box travels a further 0.35 m along the ramp before coming to rest. Determine the average frictional force between the box and the surface of the ramp.
- 22M.2.SL.TZ1.1e: The student then makes the ramp horizontal and applies a constant horizontal force to the...
-
22M.2.HL.TZ2.1a:
Outline why a force acts on the airboat due to the fan blade.
-
22M.2.SL.TZ2.1a:
Outline why a force acts on the airboat due to the fan blade.