# F=ma Exam

Analysis of previous F=ma exams and the types of questions that appear.

2007 | ||||

Problem | Topic | Comment | ||

1 | Kinematics | Position-time equation | Kinematics | 7 |

2 | Kinematics | Velocity-time graph | Dynamics | 6 |

3 | Kinematics | Average velocity | Energy | 7 |

4 | Kinematics | Free fall | Collisions | 3 |

5 | Dynamics | Force and effects | System of Masses | 2 |

6 | Kinematics | Position from velocity-time equation | Rigid Bodies | 8 |

7 | Energy | Comparison of amounts | Oscillatory Motion | 3 |

8 | Gravity | Gravitational potential energy | Gravity | 2 |

9 | System of Masses | Motion of center of mass | Fluids | 0 |

10 | Rigid Bodies | Rotational analog of Newton’s 2nd Law | Other | 0 |

11 | Rigid Bodies | Moments of inertia and energy | 38 | |

12 | Dynamics | Statics, balance of torques | ||

13 | Collisions | Conservation laws | ||

14 | Dynamics | Direction of forces | ||

15 | System of Masses | Translational and rotational dynamics | ||

16 | Collisions | Conservation laws | ||

17 | Kinematics | Acceleration over time in projectile motion | ||

18 | Energy | Conservation of energy | ||

19 | Energy | Spring and conservation of energy | ||

20 | Collisions | Energy, momentum, and velocity | ||

21 | Rigid Bodies | Value of moments of inertia | ||

22 | Energy | Work, energy, momentum | ||

23 | Gravity | Centripetal force | ||

24 | Kinematics | Projectile motion | ||

25 | Oscillatory Motion | Period in water | ||

26 | Dynamics | Kinematics and coefficient of friction | ||

27 | Rigid Bodies | Conservation laws, centripetal force | ||

28 | Rigid Bodies | Analysis of bicycle, equilibrium | ||

29 | Rigid Bodies | Analysis of bicycle, equilibrium | ||

30 | Rigid Bodies | Analysis of bicycle, equilibrium | ||

31 | Rigid Bodies | Rotational inertia of a rod | ||

32 | Oscillatory Motion | Angular frequency | ||

33 | Oscillatory Motion | Angular frequency | ||

34 | Dynamics | Object winding up around a cylinder | ||

35 | Energy | Kinetic energy of object | ||

36 | Dynamics | Original length of rope | ||

37 | Energy | Ratio of velocities | ||

38 | Energy | Ratio of kinetic energies | ||

2008 | ||||

1 | Kinematics | Uniform acceleration equations | Kinematics | 7 |

2 | Kinematics | Displacement | Dynamics | 6 |

3 | Kinematics | Velocity from position-time graph | Energy | 1 |

4 | Kinematics | Displacement from velocity-time graph | Collisions | 3 |

5 | Kinematics | a-t graph from v-t graph | System of Masses | 2 |

6 | Kinematics | Projectile motion and range | Rigid Bodies | 1 |

7 | Collisions | Conservation laws | Oscillatory Motion | 1 |

8 | Dynamics | Friction and centripetal force | Gravity | 3 |

9 | Collisions | Conservation laws | Fluids | 0 |

10 | Dynamics | Dynamics | Other | 1 |

11 | Dynamics | Dynamics | 25 | |

12 | Rigid Bodies | Moments of inertia and kinetic energy | ||

13 | Oscillatory Motion | Spring constant and amplitude | ||

14 | System of Masses | Angular momentum and energy | ||

15 | Dynamics | Statics, balance of torques | ||

16 | Dynamics | Spring and acceleration | ||

17 | Dynamics | Spring and acceleration | ||

18 | Gravity | Potential and kinetic energy | ||

19 | Energy | Power and acceleration | ||

20 | Elasticity | Young’s modulus, Elimination of answers | ||

21 | System of Masses | Conservation laws | ||

22 | Collisions | Conservation laws and circular motion | ||

23 | Gravity | Relationship between variables | ||

24 | Kinematics | Bouncing ball | ||

25 | Gravity | Velocity and orbit | ||

2009 | ||||

1 | Collisions | Impulse and pressure | Kinematics | 7 |

2 | Collisions | Motion after elastic collision | Dynamics | 4 |

3 | Collisions | Motion after inelastic collision | Energy | 1 |

4 | Dynamics | Apparent weight | Collisions | 5 |

5 | Gravity | Comparison after angular momentum | System of Masses | 0 |

6 | Kinematics | Projectile motion, velocity and angle | Rigid Bodies | 1 |

7 | Kinematics | Uniform acceleration equations | Oscillatory Motion | 3 |

8 | Kinematics | Rotational motion, ω-t graph | Gravity | 3 |

9 | Kinematics | Rotational motion, ω-t graph | Fluids | 0 |

10 | Kinematics | Projectile motion | Other | 1 |

11 | Kinematics | a-t graph, work | 25 | |

12 | Energy | Work | ||

13 | Dynamics | Statics, torque | ||

14 | Collisions | |||

15 | Dynamics | Determining coefficient of friction | ||

16 | Oscillatory Motion | Angular frequency of oscillation | ||

17 | Experiment | Measure quantities in SI units | ||

18 | Oscillatory Motion | Period of pendulum | ||

19 | Kinematics | Projectile motion, height and range | ||

20 | Collisions | Conservation laws | ||

21 | Gravity | Gravitational potential energy | ||

22 | Gravity | Period of orbit | ||

23 | Oscillatory Motion | Simple harmonic motion, Power | ||

24 | Dynamics | Tipping over of box | ||

25 | Rigid Bodies | Angular velocity, friction | ||

2010 | ||||

1 | Kinematics | Position-time graph | Kinematics | 6 |

2 | Kinematics | Velocity-time graph | Dynamics | 6 |

3 | Kinematics | Acceleration-time graph | Energy | 4 |

4 | Kinematics | Free fall | Collisions | 1 |

5 | Kinematics | Projectile motion | System of Masses | 2 |

6 | Kinematics | Projectile motion, height and range | Rigid Bodies | 2 |

7 | Dynamics | Centripetal force, angular momentum | Oscillatory Motion | 0 |

8 | Dynamics | Friction, acceleration | Gravity | 3 |

9 | Dynamics | Acceleration | Fluids | 1 |

10 | Dynamics | Acceleration, friction | Other | 0 |

11 | Dynamics | Statics | 25 | |

12 | Energy | Kinetic energy and projectile motion | ||

13 | Rigid Bodies | Energy and moment of inertia | ||

14 | Collisions | Conservation laws, friction | ||

15 | System of Masses | Conservation laws | ||

16 | System of Masses | Conservation laws | ||

17 | Gravity | Potential energy of configuration | ||

18 | Energy | Force and potential energy | ||

19 | Energy | Potential and position-time graph | ||

20 | Energy | Position-time graph, energy | ||

21 | Gravity | Gravitational self potential energy | ||

22 | Dynamics | Centripetal force | ||

23 | Fluids | Cross-sectional area and velocity | ||

24 | Rigid Bodies | Determining moments of inertia | ||

25 | Gravity | Energy and velocity | ||

2011 | ||||

1 | Kinematics | Average speed and displacement | Kinematics | 5 |

2 | Kinematics | Velocity-time graph | Dynamics | 3 |

3 | Kinematics | Velocity-time graph | Energy | 2 |

4 | Kinematics | Velocity-time graph | Collisions | 1 |

5 | Gravity | Centripetal acceleration | System of Masses | 0 |

6 | Collisions | Conservation laws | Rigid Bodies | 4 |

7 | Rigid Bodies | Angular momentum, energy | Oscillatory Motion | 4 |

8 | Fluids | Fraction of block floating | Gravity | 3 |

9 | Dynamics | Force on length of spring | Fluids | 2 |

10 | Oscillatory Motion | Factors that increase period | Other | 1 |

11 | Fluids | Water level – time graph | 25 | |

12 | Gravity | Compressive force | ||

13 | Rigid Bodies | Statics, balance of torques | ||

14 | Kinematics | Free fall | ||

15 | Oscillatory Motion | Determination of spring constant | ||

16 | Dynamics | Statics, friction | ||

17 | Dynamics | Acceleration | ||

18 | Energy | Friction, conservation laws | ||

19 | Oscillatory Motion | Return to origin | ||

20 | Oscillatory Motion | Amplitude | ||

21 | Dimensional Analysis | Same units | ||

22 | Energy | Torque, rotation frequency, and power | ||

23 | Gravity | Kepler’s laws | ||

24 | Rigid Bodies | Rotation, power, friction | ||

25 | Rigid Bodies | Comparison of motion down a plane | ||

2012 | ||||

1 | Kinematics | Free fall | Kinematics | 4 |

2 | Kinematics | Projectile motion, height and range | Dynamics | 5 |

3 | Dynamics | Angle for toppling | Energy | 3 |

4 | System of Masses | Conservation laws | Collisions | 1 |

5 | Collisions | Loss of kinetic energy | System of Masses | 1 |

6 | Kinematics | Free fall | Rigid Bodies | 2 |

7 | Kinematics | Free fall | Oscillatory Motion | 3 |

8 | Energy | Friction, conservation of energy | Gravity | 2 |

9 | Gravity | Escape velocity | Fluids | 2 |

10 | Rigid Bodies | Comparison of acceleration down a plane | Other | 2 |

11 | Dynamics | Change in forces over time | 25 | |

12 | Dynamics | Change in forces over time | ||

13 | Energy | Work and velocity | ||

14 | Rigid Bodies | Torque, moments of inertia | ||

15 | Energy | Power and velocity | ||

16 | Oscillatory Motion | Vibration frequency of spring | ||

17 | Oscillatory Motion | Period-amplitude graph | ||

18 | Oscillatory Motion | Relationship between variables | ||

19 | Fluids | Energy, power, velocity | ||

20 | Fluids | Buoyancy, apparent weight | ||

21 | Dynamics | Change in height of springs | ||

22 | Dimensional Analysis | Equivalent units | ||

23 | Experiment | Equipments used to determine constants | ||

24 | Dynamics | Determining spring constant | ||

25 | Gravity | Comparison of velocities and orbits | ||

2013 | ||||

1 | Kinematics | Uniform acceleration equations | Kinematics | 3 |

2 | Kinematics | Elastic collision with wall | Dynamics | 8 |

3 | Kinematics | Projectile motion | Energy | 5 |

4 | Dynamics | Statics, balance of torques | Collisions | 1 |

5 | Dynamics | Aparent weight, velocity | System of Masses | 2 |

6 | Dynamics | Aparent weight, velocity | Rigid Bodies | 2 |

7 | Energy | Comparison of momentum and energy | Oscillatory Motion | 1 |

8 | Energy | Conservation laws | Gravity | 1 |

9 | Energy | Conservation laws | Fluids | 1 |

10 | Rigid Bodies | Difference between solid and hollow spheres | Other | 1 |

11 | System of Masses | Normal force of system to table | 25 | |

12 | Rigid Bodies | Acceleration and moments of inertia | ||

13 | Gravity | Velocity and distance | ||

14 | Collisions | Velocity of center of mass | ||

15 | Fluids | Fraction of rod above water | ||

16 | Dimensional Analysis | Same units | ||

17 | Dynamics | Change in forces over time | ||

18 | System of Masses | Conservation laws | ||

19 | Dynamics | Tension, pendulum | ||

20 | Dynamics | Tension, pendulum | ||

21 | Oscillatory Motion | Determination of period | ||

22 | Dynamics | Statics, balance of torques | ||

23 | Energy | Determination of spring constant | ||

24 | Energy | Extension of cord | ||

25 | Dynamics | Power and velocity | ||

2014 | ||||

1 | Dynamics | Angular momentum and acceleration vectors | Kinematics | 0 |

2 | Rigid Bodies | Direcction of force | Dynamics | 7 |

3 | Fluids | Floating object | Energy | 5 |

4 | System of Masses | Conservation laws | Collisions | 2 |

5 | Dynamics | Torques, centripetal force | System of Masses | 3 |

6 | Collisions | Coefficient of restitution | Rigid Bodies | 2 |

7 | Dynamics | Statics, balance of torques | Oscillatory Motion | 1 |

8 | Oscillatory Motion | Determining period | Gravity | 2 |

9 | Energy | Impulse, velocity | Fluids | 1 |

10 | Dynamics | Tension, centripetal force | Other | 2 |

11 | Energy | Energy graphs | 25 | |

12 | Dimensional Analysis | Same units | ||

13 | Dimensional Analysis | Same units | ||

14 | Rigid Bodies | Translational and rotational kinetic energy | ||

15 | Energy | Power and velocity | ||

16 | Collisions | Speed ratio | ||

17 | Gravity | Determining gravitational acceleration | ||

18 | Dynamics | Tension, pulley system | ||

19 | Dynamics | Air resistance | ||

20 | Energy | Centripetal force | ||

21 | Dynamics | Moments of inertia, pulley system | ||

22 | Gravity | Relationship between variables | ||

23 | System of Masses | Impulse, conservation laws | ||

24 | System of Masses | Velocity turns through an angle | ||

25 | Energy | Friction, conservation laws | ||

2015 | ||||

1 | Kinematics | Addition of velocities | Kinematics | 4 |

2 | Kinematics | Average speed | Dynamics | 4 |

3 | Energy | Force and power | Energy | 6 |

4 | Dynamics | Graph analysis of motion | Collisions | 4 |

5 | Kinematics | Projectile motion | System of Masses | 0 |

6 | Collisions | Conservation of momentum | Rigid Bodies | 0 |

7 | Collisions | Conservation of momentum | Oscillatory Motion | 2 |

8 | Collisions | Conservation of momentum | Gravity | 0 |

9 | Collisions | Conservation of momentum | Fluids | 2 |

10 | Energy | Analysis of kinetic energies from collisions | Other | 3 |

11 | Fluids | Buoyancy | 25 | |

12 | Dynamics | Acceleration of pendulum | ||

13 | Dynamics | Direction of pendulum acceleration | ||

14 | Dynamics | Forces and circular motion | ||

15 | Energy | Work-energy theorem | ||

16 | Energy | Analysis of potential energy graph | ||

17 | Dimensional Analysis | Dimensional analysis | ||

18 | Graphs | Re-expression of data | ||

19 | Oscillatory Motion | Oscillation of a liquid in a U-tube | ||

20 | Fluids | Balance of forces, equilibrium | ||

21 | Kinematics | Coefficient of restituion, infinite series | ||

22 | Energy | Graph analysis | ||

23 | Energy | Vertical spring, conservation of energy | ||

24 | Waves | Transverse wave, fundamental frequencies | ||

25 | Oscillatory Motion | Coupled oscillators | ||

Percent | Average appearance | TOTAL: | ||

18.07 | 4.52 | Kinematics | 43 | |

20.59 | 5.15 | Dynamics | 49 | |

14.29 | 3.57 | Energy | 34 | |

8.82 | 2.21 | Collisions | 21 | |

5.04 | 1.26 | System of Masses | 12 | |

9.24 | 2.31 | Rigid Bodies | 22 | |

7.56 | 1.89 | Oscillatory Motion | 18 | |

7.98 | 2.00 | Gravity | 19 | |

3.78 | 0.95 | Fluids | 9 | |

4.62 | 1.16 | Other | 11 | |

100 | 25 | 238 |