SPH 4 U REVIEW SPH 4 U Final

SPH 4 U REVIEW

SPH 4 U Final Exam Part 1: Knowledge & Understanding (Multiple Choice), 30 Marks Part 2: Application (Calculations), 40 Marks, approximately 1 question per unit Part 3: Communication, 20 Marks Part 4: Thinking & Inquiry, 20 Marks

Unit # 1: Dynamics Topics covered: Kinematics & Newton’s Laws Review Components and Projectile Motion Relative Motion Components & Projectiles Newton in 2 -D Inclined Planes String & Pulley Centripetal Motion – centripetal acceleration, tension in a string, centrifugal force, banked curves

1. 9 x 102 m Components & Projectiles A Euro 2016 player, kicks at soccer ball at an angle of 35 o above the horizontal, with an initial speed of 161 km/h. What is the range, if the ball lands at the same height?

Relative Motion A pilot wants to fly due east. Their airspeed is 225 km/ h, and the wind is 75 km/h [S 37 o E]. Determine the heading they must use. 71 m/s [E 15 o N]

74 m/s 2 [E 26 o N] Newton in 2 -D Three dogs pull on a toy, with mass 0. 50 kg. The first dog pulls 25 N [N 30. 0 o. E]. The second dog pulls 12 N [S]. The third dog pulls 22 N [N 72 o. E]. Find the acceleration of the toy.

Newton in 2 -D A person pushes a lawnmower, with a force of 552 N. The handle makes an angle of 42. 0 o with the ground. If the lawnmower has a mass of 16. 5 kg, and the coefficient of friction between the lawnmower and the ground is 0. 15, determine the acceleration of the lawnmower. 20 m/s 2

2. 7 m/s 2 Inclined Planes A 35 kg box is on a ramp, as shown. If the coefficient of kinetic friction between the box and the ramp is 0. 12, determine the acceleration of the box. 23 o

2. 4 m/s 2, 74 N String & Pulley Two masses, m 1 and m 2, are attached to a string, which passes over a frictionless pulley. m 1 is 10. 00 kg and m 2 is 6. 00 kg. Calculate the tension in the string and the acceleration of the masses.

String & Pulley & Inclined Plane Two masses, m 1 and m 2, are attached to a string, which passes over a frictionless pulley, as shown in the diagram below. m 1 is 10. 00 kg and m 2 is 6. 00 kg. The coefficient of friction between the masses and the ramp is 0. 467. Calculate the tension in the string and the acceleration of the masses. m 1 m 2 50 o 35 o 1 m/s 2, 60 N

Tt = 1. 4 x 102 m; Tb = 1. 6 x 102 m Centripetal Motion A 1. 2 kg mass is twirled in a circle, on the end of a string of length 0. 80 m. The mass completes 2. 0 rotations per second. Determine the tension(s) in the string.

Banked Curve A driver enters a banked curve with a radius of 800. 0 m while travelling at a constant speed of 55. 6 m/s. Assume the surface is frictionless. Determine the angle of the banked curve. 22 o

Unit # 2: Energy & Momentum Topics covered: Work Kinetic Energy Gravitational Potential Energy Hooke’s Law Elastic Energy Total Energy; Conservation of Energy Linear Momentum Impulse Conservation of Linear Momentum in 1 -D and 2 -D Elastic and Inelastic Collisions Neutrino

W = 1900 J Work A newspaper carrier pulls a wagon with a force of 250 N at an angle of 45 o to the horizontal. Assuming no friction, how much work is required to move the wagon 11 m?

Conservation of Energy The bumper of a 2200 kg car on an amusement park ride has a spring constant of 5. 1 x 106 N/m. At a point in time, the car is moving 6. 7 m/s [forward], at a height of 5. 00 m. At the bottom of the hill, the car when it crashes into a solid wall. How much will the bumper be compressed when the car is travelling 3. 5 m/s? 0. 24 m

p = 6. 4 kgm/s [N] Linear Momentum What is the momentum of a heron, with a mass of 1. 2 kg, travelling 5. 3 m/s [N]?

J = 5. 69 kgm/s [up] Impulse A 0. 430 kg ball strikes the ground with a velocity of 9. 00 m/s [down]. It rebounds with a velocity of 4. 23 m/s [up]. Determine the impulse of the ball.

v 2‘ = 6. 9 m/s Conservation of Momentum in 1 D A cue ball with mass (0. 17 kg) and velocity of 6. 4 m/s [forward] collides with a stationary pool ball with a mass of 0. 16 kg. Determine the velocity of the second pool ball, if the cue ball rebounds with a velocity of 0. 125 m/s [backward].

v 2’ = 21 m/s [W 53 o S] Conservation of Momentum in 2 D A car, travelling 28 m/s [N], with mass = 1400 kg, has a glancing collision with a truck, mass 2300 kg, travelling 25 m/s [S]. If the car is deflected [N 55 o E] at 26 m/s, find the velocity of the truck.

Inelastic Elastic and Inelastic Collisions Two toy trains (m 1 = 0. 300 kg, m 2 = 0. 600 kg) collide on a straight section of a model rail track. Train 1 is travelling at 2. 5 m/s when it strikes train 2, which is at rest. After the collision, train 1 has a speed of -0. 7 m/s. Determine whether the collision is elastic or inelastic.

Unit # 3: Gravitational, Electric, Magnetic Fields Topics covered: Newton’s Law of Universal Gravitation Coulomb’s Law Electric Fields Electric Potential Charged Particles in Electric Fields Parallel Plates Millikan Magnetic Fields (Right Hand Rules) Magnetic Force; The Motor Principle Faraday’s Law Charged Particles in Magnetic Fields

7 x 104 m Newton’s Law of Universal Gravitation The force of attraction between the Earth and a satellite, of mass 400 kg, is 3830 N. Determine the distance between the satellite and the surface of the Earth.

T = 2. 3 x 106 s Orbits The Earth(m = 5. 98 x 1024 kg) and the Moon (m = 7. 35 x 1022 kg) are separated at their centres by a distance of 3. 8 x 108 m. Determine the period of the Moon’s rotation about Earth.

2. 1 N towards q 2 Coulomb’s Law Three point charges, q 1 = 3. 6 x 10 -6 C, q 2 = -2. 7 x 10 -6 C, q 3 = 4. 5 x 10 -6 C, are arranged on the xaxis. The distance between q 1 and q 2 is 30 cm, and the distance between q 2 and q 3 is 20 cm. Find the total force on q 3.

Electric Fields Draw the electric field created by the point charges below.

1 x 109 N/C, 1. 2 x 108 N/C, 1. 1 x 107 N/C Electric Fields A point charge of +3. 0 x 10 -6 C creates an electric field. What is the electric field strength 0. 5 cm away? 1. 5 cm away? 5. 0 cm away?

V = 16 V Electric Potential 2. 1 x 10 -5 J of work are done in moving a point charge, q = 1. 3 x 10 -6 C, against an electric field. Determine the potential difference between the initial and final positions.

Parallel Plates Draw the electric field around the parallel plates. + + - -

v = 6. 9 x 105 m/s Charged Particles in Electric Fields A set of parallel plates with a potential difference of 2. 5 x 103 V is used to accelerate a proton from rest into a magnetic field. Determine the velocity of the proton when it leaves the plates.

Magnetic Fields Draw the magnetic field around the objects below. N Earth S

Magnetic Fields A current-carrying wire

Magnetic Fields A solenoid

Magnetic Fields Force on a current-carrying wire in a magnetic field

3. 3 x 10 -5 T Magnetic Fields Find the strength of a magnetic field 1. 5 cm away from a straight conductor carrying a current of 2. 5 A.

5 x 10 -3 T Magnetic Fields Find the magnetic field strength of a solenoid that is 30 cm long with 1500 turns, carrying a current of 0. 75 A.

F = 60 N Magnetic Force A wire, carrying a current of 15 A is in a magnetic field of 2. 5 T, at an angle of 90 o, for a length of 1. 7 m. Determine the force on the wire.

4. 1 x 10 -4 N/m Magnetic Force Two wires are 1. 4 cm apart. Wire one is carrying a current of 3. 0 A, wire two is carrying a current of 9. 5 A. Find the force per unit length.

B = 0. 28 T [N / up] Charged Particles in Magnetic Fields A proton enters a magnetic field with a velocity of 1. 0 x 106 m/s [down], and experiences a force of 4. 5 x 10 -14 N [right]. Determine the magnitude and direction of the magnetic field.

Unit # 4: The Wave Nature of Light Topics covered: Wave and Particle Nature of Light Wave Theory Types of Waves Electromagnetic Waves Universal Wave Equation Refraction; Snell’s Law Dispersion Polarization Thin-Film Interference

0. 15 m Universal Wave Equation Microwaves have a frequency of 2. 0 x 109 Hz. Determine the wavelength of a microwave.

13 o Snell’s Law Find the angle of refraction for light travelling from air (n = 1. 00) to diamond (n = 2. 42) if the angle of incidence is 32 o.

Bright: 1. 4 x 10 -7 m; Dark: 2. 9 x 10 -7 m Thin Lens Interference Light of wavelength 580 nm strikes a soap film, which is surrounded by air. What is the minimum thickness needed to produce a light spot? A dark spot?