Transcript SPH 4U REVIEW

SPH 4U
REVIEW
SPH 4U Final Exam
Part 1: Multiple Choice, 30 Marks
Part 2: Extended Response (Calculations), 46
Marks over 5 questions
Part 3: Inquiry, 10 Marks over 5 questions
Part 4: Communication, 16 Marks over 5
questions
Part 5: Application, 16 Marks over 5 questions
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
1.9 x 102 m
Components & Projectiles
A Euro 2012 player, kicks at soccer ball at
an angle of 35o above the horizontal, with
an initial speed of 100 mph (161 km/h).
What is the range, if the ball lands at the
same height?
74 m/s2 [E 26o N]
Newton in 2-D
Three dogs pull on a toy, with mass 0.50 kg.
The first dog pulls 25 N [N 30oE]. The second
dog pulls 12 N [S]. The third dog pulls 22 N
[N 72oE]. Find the acceleration of the toy.
2.7 m/s2
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.
23o
2 m/s2
String & Pulley
Two masses, m1 and m2, are attached to a
string, which passes over a frictionless
pulley. m1 is 10 kg and m2 is 6 kg. Calculate
the tension in the string and the
acceleration of the masses.
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.
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.
Unit # 2:
Energy & Momentum
Topics covered:
 Linear Momentum
 Impulse
 Conservation of
Linear Momentum
in 1-D and 2-D
 Work
 Kinetic Energy
 Gravitational
Potential Energy
 Hooke’s
Law
 Elastic Energy
 Total Energy;
Conservation of
Energy
 Elastic and Inelastic
Collisions
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 = 5.7 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.
v2‘ = 6.94 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].
v2’ = 16 m/s [W 37o 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 55o E] at 26 m/s, find the
velocity of the truck.
W = 1900 J
Work
A newspaper carrier pulls a wagon with a
force of 250 N at an angle of 45o to the
horizontal. Assuming no friction, how much
work is required to move the wagon 11 m?
x = 0.14 m
Conservation of Energy
The bumper of a 2200 kg car has a spring
constant of 5.1 x 106 N/m. The car is moving
6.7 m/s [forward] when it crashes into a solid
bring wall. How much will the bumper be
compressed when the car comes to a
complete stop?
Inelastic
Elastic and Inelastic Collisions
Two toy trains (m1 = 0.300 kg, m2 = 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:
 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 and
Lenz’s Laws
 Charged Particles
in Magnetic Fields
5.83 x 10-1 N towards q2
Coulomb’s Law
Three point charges, q1 = 3.6 x 10-6 C, q2 = 2.7 x 10-6 C, q3 = 4.5 x 10-6 C, are arranged on
the x-axis. The distance between q1 and q2 is
30 cm, and the distance between q2 and q3
is 20 cm. Find the total force on q3.
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 107N/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. Determine
the velocity of the proton when it has
reached the negative plate.
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.
4.7 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 = 64 N
Magnetic Force
A wire, carrying a current of 15 A is in a
magnetic field of 2.5 T, at an angle of 90o,
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 [into the page]
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 Theory
 Types of Waves
 Electromagnetic
Waves
 Universal Wave
Equation
 Refraction; Snell’s
Law
 Dispersion
 Polarization
 Interference
Theory
 Young’s Double Slit
Equation
 Thin-Film
Interference
 Diffraction
0.15 m
Universal Wave Equation
Microwaves have a frequency of 2.0 x 109
Hz. Determine the wavelength of a
microwave.
13o
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 32o.
5.6 x 10-7 m
Young’s Double Slit Experiment
Find the wavelength of light used if the third
order minimum is located 21 cm from the
central maximum on a screen 90 cm away.
The separation between the double slits is
6.0 x 10-6 m.
Bright: 1.45 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?