1. SPH 3U REVIEW

2. UNIT # 1: KINEMATICS  Scalar vs. Vector  Distance, displacement, speed, velocity  Acceleration  5 Kinematics Equations  Acceleration due to Gravity  d-t, v-t, a-t graphs  Vector Components  Relative Velocity  Projectile Motion

3. Example 1: Jack runs 0.75 km [S] and 576 m [E] in 5.5 minutes. a) Draw a diagram of his motion.

4. Example 1: Jack runs 0.75 km [S] and 576 m [E] in 5.5 minutes. b) Determine his speed.

5. Example 1: Jack runs 0.75 km [S] and 576 m [E] in 5.5 minutes. c) Determine his velocity.

6. Example 2: Determine the acceleration of a vehicle that starts from rest and reaches a velocity of 25 m/s and has a displacement of 100 m.

7. Example 3: Determine the time it takes a ball, with an initial velocity of 9 m/s, to fall a distance of 35 m.

8. Example 4: A car travels [N 62 o E] at a speed of 95 km/h. Determine the components.

9. Example 5: A golf ball is hit with an initial velocity of 17 m/s, at an angle of 40 o. a) Find the range of the golf ball.

10. Example 5: A golf ball is hit with an initial velocity of 17 m/s, at an angle of 40 o. b) Calculate the velocity of the golf ball as it hits the green.

11. UNIT # 2: DYNAMICS  Fundamental Forces  Types of Forces  Free Body Diagrams  F g  Newton’s Laws, F net = ma  F n  F f

12. Example 1: A four-wheeler is stuck in a swamp and someone is trying to winch it out. a) Draw a free body diagram.

13. Example 1: A four-wheeler is stuck in a swamp and someone is trying to winch it out. b) If the four wheeler has a mass of 295 kg, determine the force of gravity.

14. Example 1: A four-wheeler is stuck in a swamp and someone is trying to winch it out. c) If the coefficient of friction between the four wheeler and the mud is 0.05, determine the force of friction.

15. Example 1: A four-wheeler is stuck in a swamp and someone is trying to winch it out. d) If the applied force is 5000 N, determine the acceleration of the four wheeler.

16. Example 2: Draw a FBD for a person in an elevator a) going up; and b) going down. Determine which is greater in each situation: F g or F n

17. UNIT # 3: ENERGY & SOCIETY  Types of Energy  Energy Transformations  Law of Conservation of Energy  Alpha, Beta, Gamma Radiation  Nuclear Reactors, etc.  Work  E g, E k, E T  Conduction, Convection, Radiation  Thermal Energy  Power  Efficiency

18. Example 1: Write the energy transformation equation for a nuclear explosion.

19. Example 2: Consider Uranium, with 92 protons and 238 neutrons. Write the equation for: a) Alpha Decay b) Beta Decay c) Gamma Decay

20. Example 3: A skier of mass 85 kg, starts at the top of the hill, a height of 150 m, with an initial velocity of 5 m/s. a) Determine their total mechanical energy at the top of the hill. b) Determine their height when they are travelling 30 m/s. c) Determine their speed at the bottom of the hill.

21. Example 3: A skier of mass 85 kg, starts at the top of the hill, a height of 150 m, with an initial velocity of 5 m/s.

22. Example 4: Water has a specific heat capacity of 4180 J/kg o C. Determine the heat needed to raise the temperature of 100 kg of water from 10 o C to 21 o C

23. Example 5: A 65 kg person runs up a 12.5 m set of stairs in 5.7 seconds. a) Determine the work.

24. Example 5: A 65 kg person runs up a 12.5 m set of stairs in 5.7 seconds. b) Determine the power.

25. Example 6: A 1500 W kettle heats water in 2 minutes. If the kettle is 80% efficient, determine the energy output of the kettle.

26. UNIT # 4: WAVES  Period, Frequency  Wave Characteristics  Interference  Reflection  Universal Wave Equation  Speed of Sound  Doppler Effect  Resonance, Damping

27. Example 1: A pendulum completes 19 cycles in 67 seconds. a) Find the frequency b) Find the period

28. Example 2: Draw a transverse wave and label the crest, trough, amplitude, wavelength.

29. Example 3: A sound wave travels at a speed of 330 m/s and has a frequency of 92 Hz. Determine the wavelength.

30. Example 4: Describe free and fixed end reflection.

31. Example 5: If the speed of sound is 330 m/s, determine the temperature.

32. Example 6: An ambulance, with a siren having a frequency of 1000 Hz, travelling at 28 m/s, on a - 5 o C day, approaches an observer. Determine the frequency of the siren heard by the observer.