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 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 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 -5oC day, approaches an observer. Determine the frequency of the siren heard by the observer.