SPH 3U REVIEW

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

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

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

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

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.

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

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

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.

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.

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

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

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.

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.

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.

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

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

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

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

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.

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.

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

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

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

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

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

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

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

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

Example 4: Describe free and fixed end reflection.

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

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.