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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.
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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 62o 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 40o. 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 40o. b) Calculate the velocity of the golf ball as it hits the green.
UNIT # 2: DYNAMICS • Fundamental Forces • Types of Forces • Free Body Diagrams • Fg • Newton’s Laws, Fnet = ma • Fn • Ff
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: Fg or Fn
UNIT # 3: ENERGY & SOCIETY • Types of Energy • Energy Transformations • Law of Conservation of Energy • Alpha, Beta, Gamma Radiation • Nuclear Reactors, etc. • Work • Eg, Ek, ET • 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/kgoC. Determine the heat needed to raise the temperature of 100 kg of water from 10oC to 21oC
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 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 -5oC day, approaches an observer. Determine the frequency of the siren heard by the observer.